Journal of New Researches in Mathematics
https://jnrm.srbiau.ac.ir/
Journal of New Researches in Mathematicsendaily1Sun, 17 Feb 2019 00:00:00 +0330Sun, 17 Feb 2019 00:00:00 +0330A novel analytical Solution of Turbulent Boundary Layer Flow at high range of Reynolds No. Over a Flat Plate with absence pressure gradient.
https://jnrm.srbiau.ac.ir/article_13769.html
This paper studies a novel similarity solution of turbulent boundary layer (S.S.T.BL) on the flat plate with absence of pressure gradient (A.P.G). At first, the governing equations of motion (Continuum and momentum) with Specified boundary conditions (B.C) were written and then, governing partial differential equations (PDEs) have been transformed to high order non-linear ordinary differential equations (ODE) with inconsistent coefficients using similarity variables. Employing Rung-Kutta-Fehlberg and shooting method for high range of Reynolds number (Re), the obtained equation has been solved numerically and distribution of velocity, friction coefficient (Cf) , thickness of the turbulent boundary layer (Delta/x) are calculated which is in best agreement with experimental outcomes. The novelty of this study was to present two independent equations to calculate the friction coefficient and thickness of the turbulent boundary layer. Moreover, the presented equations are accurate at higher values of Reynolds number, however, previous models are week at this region.ﺑﺴﺘﻪﺑﻨﺪی ﻫﺎی ﺑﺎز در درﺧﺖ ﻫﺎ
https://jnrm.srbiau.ac.ir/article_13883.html
ﻓﺮض ﮐﻨﯿﻢ ﯾﮏ ﮔﺮاف ﺑﺎﺷﺪ. زﯾﺮ ﻣﺠﻤﻮﻋﻪ از رأس ﻫﺎی را ﯾﮏ ﺑﺴﺘﻪ ﺑﻨﺪی ﺑﺎز ﮔﻮﯾﯿﻢ ﻫﺮﮔﺎه ﻫﻤﺴﺎﯾﮕﯽ ﺑﺎز رأس ﻫﺎی در دو ﺑﻪ دو ﻣﺠﺰا ﺑﺎﺷﻨﺪ. ﺑﻪ ﻣﺎﮐﺰﯾﻤﻢ اﻧﺪازه ﭼﻨﯿﻦ ﺑﺴﺘﻪ ﺑﻨﺪی ﻫﺎﯾﯽ، ﻋﺪد ﺑﺴﺘﻪ ﺑﻨﺪی ﺑﺎز ﮔﻔﺘﻪ ﻣﯿﺸﻮد و آن را ﺑﺎ ﻧﻤﺎﯾﺶ ﻣﯽ دﻫﯿﻢ. در اﯾﻦ ﻣﻘﺎﻟﻪ ﻧﺸﺎن ﻣﯽ دﻫﯿﻢ ﮐﻪ ﺑﺮای ﻫﺮ درﺧﺖ از ﻣﺮﺗﺒﻪ ، دارﯾﻢ و ﺑﻪ ﻋﻼوه درﺧﺖ ﻫﺎی ﺑﺎ را ﮐﺎراﮐﺘﺮاﯾﺰ ﻣﯽﮐﻨﯿﻢ. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -- ---- - - - - -- - - - - - - -- - - -- - - -- ---The Klein-Gordon Equation for a Moving Potential; The Study of Continuity in Potential Barrier
https://jnrm.srbiau.ac.ir/article_14428.html
مطالعهی سیستمهای کوانتومی که وابستگی به زمان دارند به دلیل کاربرد زیاد آنها در ریاضی فیزیک و ریاضی کاربردی مورد توجه قرار گرفتهاند و بسیاری از اثرات مکانیک کوانتومی جالب به این مفهوم مرتبط میشوند. در این مقاله به بررسی یک ذرهی نسبیتی در پتانسیل وابسته به زمان پرداخته می شود. برای مطالعهی ذرات نسبیتی اسپین صفر از معادله کلاین-گوردن بهره می بریم. یک رویکرد استاندارد تبدیل معادلهی کلاین گوردون با پتانسیل با دیوارههای متحرک به یک معادلهی مشابه اما با دیوارههای غیر متحرک میباشد. بنابراین راه حل این مسألهی وابسته به زمان را میتوان با توجه به تبدیلات لورنتس که هموردا میباشند بدست آورد. سپس این ذرهی نسبیتی در مقابل سد پتانسیل که دیواره ای متحرک با سرعت vدارد درنظر گرفته می شود. با توجه به معادلهی کلاین گوردن مستقل از زمان بدست آمده و تابع موج پیشنهادی، تابع موج این سیستم کوانتومی وابسته به زمان بدست می آید. سپس به بررسی پایستگی چگالی جریان پرداخته و در سرعتهای مختلف برای دیواره، پایستگی انرژی این سد پتانسیل با دیوارههای متحرک برای ذرهی نسبیتی بررسی میشود.Efficiency Evaluation in the Presence of Flexible Measures and Considering Alternative Solutions: Cross-Efficiency Approach
https://jnrm.srbiau.ac.ir/article_14684.html
Data Envelopment Analysis is a technique based on mathematical programming to evaluate the efficiency of a set of homogeneous decision making units. Each decision making unit produces multiple outputs by consuming multiple inputs. Flexible factors are factors that are not specifically included in input or output classes. In order to evaluate decision making units with such factors, existence of methods to determine the nature of the input or output of flexible factors is needed. So far, several methods have been introduced by researchers to evaluate the efficiency of decision making units in the presence of flexible factors. The related models of the methods include binary classifier variables to categorize flexible factors. This paper examines the cross efficiency method for decision making units included flexible factors. The proposed method involves models to resolve the problem of alternative categorization of flexible factors and make a final decision on these factors more accurately.شبیه سازی تحلیل پوششی دادههای تصادفی در انتخاب پروژههای تحقیق و توسعه
https://jnrm.srbiau.ac.ir/article_14970.html
Uncertainty is the obvious attribute of any activity in the real world, and performance analysis of units in terms of uncertainty is one of the most important concerns of managers and planners of companies. Various approaches to data envelopment analysis have been presented so far to provide a good tool for evaluating the efficiency of units in uncertain situations, including random, fuzzy and robust approaches. In a situation where the probability distribution function of random variables is known, stochastic approach is a precise solution for problem solving. Nevertheless, previous research in this field has focused on the transformation of a random problem into a definite problem. In this research, a method for modeling data envelopment analysis is presented using computer programming. In this method, random processes are simulated, and finally, the performance distribution function is presented instead of a definite number as the unit's efficiency. In this model, a new concept is presented as the probability of efficiency, which represents the probability that the unit will be located on the efficient boundary. The proposed method is empirically applied in a real case of selecting research and development projects.Ranking Supply Chain Disruptions Using Mix Method, Fuzzy Dematel & Meta Heuristic Algorithms
https://jnrm.srbiau.ac.ir/article_14984.html
در میان انواع ریسک های زنجیره تامین، اختلالات گروهی از انواع ریسک هستند که از بلایای طبیعی، تحریم، مشکلات حمل و نقل ،تاخیرها و خرابی تجهیزات حاصل میشوند. این ریسک ها بطور جدی میتوانند موجب اخلال در جریان مواد، اطلاعات و جریان نقد گردند. این مطالعه یک مدل ترکیبی را برای مدیریت، ارزیابی و رتبه بندی اختلالات پیشنهاد میکند. در این تحقیق با ارایه یک مدل ریاضی با در نظر گرفتن پارامتر اختلال به ارزیابی ریسک اختلالات زنجیره تامین پرداخته شده است . در ابتدا روابط بین اختلالات از طریق تکنیک دیمتل فازی فرموله شده، و خروجی دیمتل به عنوان پارامتر وزن وارد مدل شده و سپس مدل با استفاده از الگوریتم های فراابتکاری ژنتیک و روشهای جستجوی محلی حل شده است. نهایتا اختلالات براساس هزینههایی که به زنجیره اعمال میکنند ارزیابی و رتبه بندی شده اند و سپس تعداد تامین کننده مناسب به ازای هر اختلال مشخص گردیده است.Bounds for the eigenvalues of the generalized distance matrix of graphs
https://jnrm.srbiau.ac.ir/article_15299.html
Let $G$ be any simple connected graph. For any vertex $v$ of a graph $G$, the transmission $Tr_{G}(v)$ of a vertex $v$ is defined to be the sum of the distances from $v$ to all other vertices in $G$.Let $D(G)$ be the distance matrix of $G$ and $Tr(G)$ be the diagonal matrixof the vertex transmissions in $G$. The generalized distance matrix $D_{alpha}(G)$ of a connected graph $G$ is defined as$$D_{alpha}(G)=alpha Tr(G)+(1-alpha)D(G), ~~~~ 0leq alphaleq 1.$$In this paper, we investigate some spectral properties of the generalized distance matrix $D_{alpha}(G)$.First we give some upper and lower bounds for the spectral radius of the generalized distance matrix $D_{alpha}(G)$ in terms of the different graph invariants like the order $n$, the size $m$, the Wiener index $W(G)$, the transmissions degrees and the parameter $alpha$. We also characterize the extremal graphs. We also give some relations between the largest and the smallest eigenvalue of the generalized distance matrix.Solving Linear and Non-Linear Twelfth-Order Boundary Value Problems by Tension Spline Method
https://jnrm.srbiau.ac.ir/article_15404.html
Tension spline functions developed for numerical solution of linear and non-linear twelfth-order certain boundary-value problems. Boundary formulas are developed to be associated with the method. Truncation errors, Convergence analysis of the method has been discussed. The present methods have been tested on four examples, to illustrate practical usefulness of our method. در این مقاله حل عددی دسته های خاصی از مسائل مقدار مرزی معادلات دیفرانسیل معمولی مرتبه دوازدهم را با استفاده از اسپلاین کششی مورد بحث و بررسی قرار داده ایم. فرمول بندی اسپلاین 15- کششی را ارایه می نماییم و رابطه سازگاری این گونه اسپلاین را بدست آورده ایم تا از این رابطه برای حل مسائل استفاده نمائیم . دسته هایی از روش های جدید با مراتب مختلف را ایجاد کردیم، همگرایی روش های حاصله را اثبات و کاربرد روش ها را روی مسائل مختلف آزمایش کرده و بدین طریق کاربرد مفید روش های حاصله را در عمل نشان داده ایم. شرایط مرزی را برای روش ها فرمول بندی کرده و خطای برشی روش های موجود را مورد بحث و بررسی قرار می دهیم. با استفاده از رابطه مفیدی که از اسپلاین کششی بدست آوردیم مسائل مقدار مرزی مرتبه دوازدهم را حل کردیم، نتایج روش های مختلف را با روش های موجود محققین دیگر مقایسه کرده و رجحان و برتری روش های جدید را نشان داده ایم.طراحی مدل ریاضی تعیین مکان بهینه ی استقرار شعب شرکت بیمه با استفاده از ترکیب روش های تصمیم گیری چند معیاره ی فازی
https://jnrm.srbiau.ac.ir/article_15432.html
Selecting location of an insurance branche often has been considered as a main problem of parent company. This research aims to deal with location problem of a new branch of Alborz insurance Co. in Guilan province based on the combination of several multi-criteria decision making models with fuzzy data. In the proposed model, there are five criteria and six alternatives (locations). To solve a location prioritization problem four steps are defined in this research: 1) Determination of proposed locations and selection of experts by branches managers, definition of linguistic variables and their corresponding fuzzy numbers, 2) Selection of some effective criteria among different criteria using fuzzy delphi method, 3) Pairwise comparison of the criteria and alternatives using fuzzy analytical hierarchy process method, 4) computation of mean wight of criteria for each of experts and using fuzzy logarithmic least square method, 5) Definition of a comprehensive decision matrix, 6) Definition of a fuzzy preference function, total preference matrix, calculation of positive and negative flow, calculation of net flow and defuzzification of fuzzy numbers using Chen method, 7) Determination of possibility degree and weight of each alternative. Finally, regarding to the score of each alternative, place 3 selected as the first priority and places 4, 5, 6, 1 and 2 determined as the next priorities, respectively. In this research Excel and LINGO softwares are used to run models.Designing and Developing a multi - level supply chain mathematical model , multi products , multi objective of supplier selection considering simultaneous overall - incremental Discount .
https://jnrm.srbiau.ac.ir/article_15464.html
supplier selection and optimum order determination is one of the important components of production and logistics management for many companies . therefore , after selecting the appropriate supplier , the optimal ordering of each supplier should be obtained according to the goals and limitations of interest . one of the efficient methods in this regard is that the goal of this research is to design a multi - objective model to determine the optimal inventory level and allocation to each of the suppliers . this is done by designing a multi - objective model with the objectives of minimizing costs in the chain such as shopping costs , maintenance , etc. as well as maximizing the quality of materials purchased from suppliers . finally , a non - dominated sorting genetic algorithm is solved using multi - objective non - dominated sorting genetic algorithm . in order to validate the model , a modified constraint - constraint method is solved and the results are compared with the first method .finally , in order to prove the appropriate performance of the proposed solution in the proposed model , these experiments were analyzed on the experimental data produced with different dimensions and the obtained responses were analyzed using statistical methodsExistence of solutions of infinite systems of quadratic integral equations of Hammerstein type on an unbounded interval in Fréchet spaces
https://jnrm.srbiau.ac.ir/article_15699.html
Measures of noncompactness are very useful tools in the theory of operator equations in Banach and Fréchet spaces. They are frequently used in the theory of functional equations, including ordinary differential equations, equations with partial derivatives, integral equations and integro-differential equations, optimal control theory, etc. In particular, the fixed point theorems derived from them have many applications. In this paper, we present some fixed point theorems for condensing operators on Fréchet spaces by using the technique of measures of noncompactness together with the Tychonoff fixed point theorem. Moreover, we introduce a new measure of noncompactness on the countable Cartesian product of Banach spaces, and then study the problem of the existence of solutions for an infinite system of quadratic integral equations of Hammerstein type on an unbounded interval which includes several classes of nonlinear integral equations of Hammerstein type. Finally, an example is presented to show the efficiency of our results.Determining the efficiency, satisfaction and productivity of the public transportation system using data envelopment analysis and its applied study on Mashhad bus lines
https://jnrm.srbiau.ac.ir/article_19381.html
The trend of population growth and development of cities in recent decades has led to the use of vehicles, both private and public. Meanwhile, public transportation has attracted a lot of attention due to its economic viability. Therefore, urban planning officials and municipalities try to solve problems such as; Environmental pollution, heavy traffic congestion, insecurity on some roads, severe accidents on some roads and excessive consumption of fuel suitable for vehicles (including oil - diesel and gasoline) are to consider appropriate measures. Data envelopment analysis with appropriate mathematical solutions can be an accurate and comprehensive tool to investigate such situations, so that managers can use it to make the best decision and remove existing barriers. Our goal in this article is to determine the efficiency, satisfaction and productivity (productivity in efficiency, productivity in satisfaction) of public vehicles, specifically 10 bus lines in Mashhad, so that their productivity in three consecutive years 91, 92 and 93 has been evaluated and the ratio of productivity in satisfaction to productivity in efficiency of each line has been calculated.Network FDH Models: Measuring the efficiency scores from the aggregation viewpoints
https://jnrm.srbiau.ac.ir/article_16273.html
Data Envelopment Analysis (DEA) is a non-parametric method for measuring the performance of a set of decision making units (DMUs) . Recently, application of DEA has attracted many interest from scholars in the circumstances with two-stage or network structures. This paper develops FDH models to the units with the general two-stage structure from the efficiency aggregation points of view. The provided models are useful for both the situations in which the stages follow the same or different standard returns to scale (RTS) assumptions (including constant, variable, non-increasing and non-decreasing RTS) . Some closed form formulas are provided to calculate the overall and stage efficiency scores under the different RTS assumptions, without solving any mathematical programming problem but by some simple operations. Furthermore, it is proved that the provided models project the inefficient DMUs into the efficient frontier. Finally, the case of Taiwanese non--life insurance companies validates the reasonableness and acceptability of the provided approach in FDH models.بهینه سازی هزینه شبکه توزیع با رویکرد شبیه سازی ترکیبی
https://jnrm.srbiau.ac.ir/article_16276.html
هدف اصلی این تحقیق، ارزﯾﺎﺑﯽ وﺿﻌﯿﺖ ﺳﯿﺴﺘﻢ ﻓﻌﻠﯽ ﺗﻮزﯾﻊ ﮐﺸﻮر و ﻃﺮاﺣﯽ ﻣﺪل ﺷﺒﮑﻪای ﺗﻬﯿﻪ و ﺗﻮزﯾﻊ ﮐﺎﻻ، ﺑﺎ ﺑﻬﺮه وری ﻣﻨﺎﺳﺐ ﺟﻬﺖ ﮐﺎﻫﺶ ﻫﺰﯾﻨﻪﻫﺎی ﺗﻮزﯾﻊ ﻓﯿﺰﯾﮑﯽ ﮐﺎﻻﻫﺎ می باشد. تحقیق حاضر با ارائه یک مدل گسسته-پیشامد و ارتباط آن با مدل عامل بنیان بر پایه GIS و شبیه سازی در فضای Any Logic به بهینه سازی هزینه شبکه توزیع کالا می پردازد. مدل ارائه شده شامل سفارش دهنده ها ،انبار مرکزی و تراک ها می باشد. تحقیق حاضر به صورت موردی منطقه 1 تهران را با 232 فروشگاه پوشش داده است، که با به کارگیری مختصات طول و عرض جغرافیایی در نقشه GIS در داخل مدل شبیهسازی مکانیابی شده اند. به همین منظور دادههای مربوط به 30 روز دنیای واقعی از زمان سفر وسیلههای نقلیه جمعآوری شده و با دادههای مربوط به 30 روز مدل شبیهسازی مقایسه شده است. نتایج نشان داد که با در نظر گرفتن انحراف صفر درصدی ظرفیت وسایل نقلیه، تغییری در نحوه پردازش سفارشات ایجاد نمیشود و میانگین مدت زمان دریافت سفارش تا زمان پردازش و ارسال در دو حالت یکسان است و تغییر میزان 30 درصدی انحراف از تکمیل ظرفیت وسیله نقلیه منجر به بهبود 30 درصدی زمان پردازش سفارشات میشود. با سناریوی افزایش 5 درصدی و 7 درصدی تقاضا، سیستم فعلی پاسخگویی مناسب را خواهد داشت و زمان دریافت تا ارسال سفارش تغییر معناداری نمییاید. با افزایش 10 درصدی تقاضا، سیستم فعلی پاسخگویی مناسب را نخواهد داشت و فاصله بین دریافت سفارش تا ارسال سفارش بیش از 80 درصد افزایش مییابد.بررسی رفتارمواد بتنی حاوی سنگدانه مقاوم در برابر حرارت به روش عددی :مدل اجزای محدود
https://jnrm.srbiau.ac.ir/article_16354.html
در این تحقیق به روش آزمایشگاهی از سنگدانههای سبک مقاوم در برابر حرارت، پومیس و پرلیت در درصد های جایگزینی ،40،30،20،10و 50 به عنوان جایگزین سنگدانه استفاده و در مجموع 11 سری طرح مخلوط طراحی و ساخته شد و در ادامه با استفاده از روش اجزا محدود عملکرد حرارتی سنگدانه های پومیس و پرلیت مورد بررسی و مقایسه با روش آزمایشگاهی قرار گرفت. نتایج بیانگر آن بودند که با افزایش درصد جایگزینی سنگدانه سبک، مقاومت فشاری مخلوط ها کاهش یافته و همچنین تخلخل و میزان نفوذ یون کلر در تمامی مخلوط ها افزایش یافته است و در مجموع مشخصات دوام مخلوط ها کاهش نشان داد . افزایش میزان جایگزینی سنگدانهی سبک باعث کاهش چشمگیر ضریب انتقال حرارت نمونه ها شده است. از طرف دیگر درصد خطای محاسبه ضریب انتقال حرارت به روش عددی نسبت به روش آزمایشگاهی، برای مخلوطهای حاوی 20 درصد پومیس و پرلیت برابر با 3/9 و 5/7 درصد بوده که درصد خطای قابل قبولی به حساب میآید.آنالیز ریزساختاری نشان داد که استفاده از سنگدانه های سبک پومیس و پرلیت انبساط یافته باعث افزایش تخلخل در مخلوط ها می شود.Quasi-permutation representation of some minimal non-PS-groups
https://jnrm.srbiau.ac.ir/article_16606.html
در این مقاله برای نوع خاصی از گروههای متناهی ابتدا تمامی اعضا و زیرگروهها و همچنین تمامی خواص گروه بررسی و محاسبه شده اند. سپس در بخش دوم مقاله جدولهای سرشت و همچنینی تمامی جدولهای مربوط به مجموعهای گالوا برای گروه مذکور شده است.در طی سه جدول) بطور کامل آورده) مقادیر p(G)، q(G) و c(G) برای گروههای متناهی G تعریف شدهاند. در این مقاله با محاسبهی مستقیم و رسم جدولهای سرشت، موفق به محاسبهی p(G)، q(G) و c(G) برای خانوادهای از نا PS-گروهها گشتهایم که به فرم زیر تعریف میشوند:G=⟨x,y∣x^p=y^۴=۱, x^y=x^(p-۱) ⟩;که در آن p یک عدد فرد است. The symbols c(G), q(G) and p(G) are defined for a finite group G. In this paper, by finding C-representations of G and also direct calculating character table, we calculate c(G), q(G) and p(G) for a family of minimal non-PS-groups:G=⟨x,y∣x^p=y^4=1, x^y=x^(p-1) ⟩,where p is an odd prime number.Data envelopment analysis for evaluating the efficiency of differential evolution algorithms on solving the open vehicle routing problem with time windows
https://jnrm.srbiau.ac.ir/article_16615.html
A vehicle routing problem (VRP) is an important issue that has attracted great attention of researchers in recent years. This study presents an alternative to the conventional empirical analysis approach for evaluating the relative efficiency of distinct combinations of algorithmic operators and/or parameter values of differential evolution (DE) algorithms on solving the vehicle routing problem with time windows (VRPTW). This approach deliberates each combination as a decision-making unit (DMU) and sets data envelopment analysis (DEA) to determine the relative and cross efficiencies of each combination of DE operators and parameter values on solving the VRPTW. To demonstrate the applicability and advantage of this approach, we implemented a number of strategies of DE’s combining crossover and mutation, and employed DEA to evaluate and rank the relative efficiencies of these combinations. The numerical results denote that DEA has considerable performance for determining the efficient combinations of DE operators. Among the strategic under consideration, the strategic using Current-to-best are generally more efficientMeasuring Inefficiency Slacks of Network Systems in the presence of Shared Resources
https://jnrm.srbiau.ac.ir/article_17013.html
Performance evaluation is one of the important tasks of management in order to better understand the past successes of a manufacturing unit and plan for its future development. The goal is to determine whether the unit can be expected to increase its output with current input, or while maintaining the current production output, how much savings in input can be made merely by increasing efficiency. A system is usually composed of multiple parts, each with a specific function. When we are interested in the performance of the system as a whole unit, where only inputs coming into the system and outputs going out of the system are considered, it is called whole unit or black box analysis, because how inputs are converted into outputs through intermediate products is not considered. The whole unit analysis provides a general idea of the performance of a unit. However, since the system usually consists of several interrelated parts, ignoring the functions of constituent parts may cause misleading results. To properly evaluate the performance of a system, this article proposes a set of additive models. The proposed models measure the inefficiency slacks of a system from both optimistic and pessimistic views. Therefore, an overall performance evaluation for each system is obtained. An example of the banking industry in Iran is offered to explain how to calculate the inefficiency slacks of the system and processes.Efficiency measurement for hierarchical network systems by Network DEA-Fuzzy ANP hybrid model
https://jnrm.srbiau.ac.ir/article_17121.html
Universities, like any other organization, urgently need evaluation system to be aware of the desirability of their activities. In this paper, by using a new hybrid model based on the fuzzy set &amp; Analysis Network Process (FANP) and Network Data Envelopment Analysis (NDEA) technique, evaluation of efficiency and ranking is executed. The method is obtaining the weights of the distributed inputs by the FANP model and then using these weights in the NDEA model.Nine basic sciences faculties of Islamic azad university are considered as decision- making units (DMUs) and the efficiency of these DMUs is investigated in both educational and research areas during 2009-2010. In the model the hierarchical structure of the faculty is drawn then groups of mathematical and statistics, biology, chemistry, physics have been studied and input and output indicators are determined. The efficiency of the DMUs is determined by the FANP-NDEA model and classic DEA method and the results are compared with classic DEA. The results of the efficiency calculation using DEA method show the efficiency of each DMUs is equal to one and there is no ranking between the DMUs. Using DEA, DMUs are considered as a black-box where inputs transformed into output, meaning its internal structure is not considered. The FANP-NDEA model is able to consider the total efficiency of the DMU as well as the internal efficiency of the units by considering intermediate products and common inputs. Furthermore, by using this tool, managers can identify potential candidates as the best as best patterns.Modeling and Comparison of Fuzzy and Non-Fuzzy Multi-Objective Evolution Optimization Portfolios in Tehran Stock Exchange
https://jnrm.srbiau.ac.ir/article_17150.html
Selecting the optimal stock portfolio is one of the most important issues in the field of financial research, which tries to choose the optimal combination of assets in order to create maximum utility for the investor, Given that the return on securities in the real world is often vague and inaccurate, one of the most important investment challenges is uncertainty about the future. In this paper the problem of selecting and optimizing securities portfolios with different modeling goals has been solved and compared. The designed models have considered both the nature of the portfolio selection issue and the considerations considered by the shareholder in the portfolio selection. The uncertainty quality of the future return of a given portfolio is estimated using fuzzy LR numbers, while its return torques are measured using possibility theory. The most important purpose of this paper is to solve the problem and compare portfolio selection models with simultaneous optimization of two, three, and four objectives. For this purpose, the NSGA-II genetic algorithm is used and the mutation and intersection operators are designed specifically to generate possible solutions to the cardinality constraint of the problem. Finally, the efficiency and performance of the models in case of using fuzzy logic and not using it have been compared and it has been determined that the use of fuzzy logic and possibility theory leads to the formation of portfolios with higher performance and higher efficiency.Some Results on UP-algebras
https://jnrm.srbiau.ac.ir/article_17436.html
In this paper, we introduce the concept of stabilizers of a set in UP-algebras and introduce a new class of UP-algebras. Then we introduce and study their properties and the relationships between the left and right stabilizers of a set in UP-algebras and provide equivalent conditions for easier and faster study of new UP-algebras. We also show that, by adding a condition, the left stabilizer of a set is a UP-filter, while the right stabilizer of a set is not. In the following, we define the concepts of coatom and strong coatom on UP-algebras and examine its properties. In addition, we provide equivalent conditions for easier study of coatoms in UP-algebras.We show that for a UP-algebra A, Coatom (A)=A- {0} if and only if each subset of A contains 0, is a UP-filter of A. We also examine the relationship between coatoms and stabilizers. Finally, we introduce the generalized co-annihilator set G relative to F and study its properties.محاسبه حد بالای سرعت انجام محاسبات و نرخ رشد پیچیدگی با استفاده از روش ریاضی نظریه اختلال
https://jnrm.srbiau.ac.ir/article_17508.html
سرعت انجام محاسبه و میزان توانایی در انجام محاسبات برای یک سیستم محاسباتی دو سوال بنیادی در علوم رایانه می باشند همچنین مفهوم پیچیدگی انجام محاسبه به زبان ماشین و سنجه ای که برای پیچیدگی ارایه می شود، کمیت های مهمی هستند. در این مقاله، با استفاده از روش های ریاضی و به صورت مشخص با بهره جستن از نظریه اختلال، نرخ رشد پیچیدگی انجام محاسبات را برای یک نوسانگر ناهماهنگ محاسبه می کنیم. علت انتخاب نوسانگر به این دلیل است که اکثر سیستم های فیزیکی را می توان با نوسانگر شبیه سازی کرد. همچنین حداکثر تحول دینامیکی حالت های کوانتومی را که میزان محاسبه را تغییر می دهد، محاسبه می کنیم و به عنوان دستاورد مهم این کار نشان می دهیم که برای اختلال مرتبه زوج، میزان پیچیدگی افزایش می یابد، در حالی که برای اختلال مرتبه فرد نرخ، رفتار کاهشی خواهیم داشت. این روش می تواند الگوی نظری برای حد بالای انجام محاسبات در نظر گرفته شود.Representation of Double Lie-Groupoid
https://jnrm.srbiau.ac.ir/article_17614.html
In this paper we introduce the bi-VB groupoid and representation of double Lie groupoids, using the concept of vector bundle object in the category of Lie groupoids or Lie groupoid object in the category of vector bundle. A bi-VB groupoid is a bi-vector bundle object in the category of Lie groupoids. By a bi-vector bundle, we mean that a manifold by two vector bundle structures over two manifolds. We study some properties of the representation of double Lie groupoid as a cochains and smooth groupoid cohomology. We can show that there exists a one to one corresponding between a representation of a double Lie groupoid and two continues degree one operator which the space of normalized cochains, satisfying graded Leibniz identity and vanished their square. We study some properties and some example of bi-VB groupoids. And then we show that any representation of double Lie groupoids induced a bi-VB groupoid structure on its action groupoid.طراحی مدل ریاضی سنجش ریسک اعتباری بوسیله رتبهبندی اعتباری با بهرهبرداری از مدل تحلیل پوششی دادهها
https://jnrm.srbiau.ac.ir/article_17800.html
نظام بانکی کارآمد، موثرترین وسیله برای توسعه اقتصادی بوده و مهمترین وظیفه بانکها تخصیص منابع در قالب تسهیلات بانکی است و طراحی و استقرار مدل رتبهبندی اعتباری نقش موثری در افزایش کارآمدی بانکها در تجهیز منابع دارد. در پژوهش حاضر به طراحی و تبیین مدل رتبهبندی اعتباری با بهرهبرداری از مدل تحلیل پوششی دادهها، پرداخته شد. نمونه آماری مربوط به اطلاعات مشتریان حقوقی پذیرفته شده در بورس اوراق بهادار و دریافت کننده تسهیلات از بانک تجارت در طی سالهای 1398 تا1399؛ بیان نمود. در این زمینه، 30 متغیرتوضیح دهنده شامل متغیرهای مالی و غیر مالی مورد بررسی قرار گرفت. از بین متغیرهای موجود نهایتاً با استفاده از تکنیک تجزیه و تحلیل عاملی و روش دلفی متغیرهای تأثیرگذار بر ریسک اعتباری انتخاب و وارد مدل تحلیل پوششی دادهها شده است و امتیازات کارایی شرکتهای حقوقی با استفاده از آنها به دست آمد. نتایج حاصل از مقایسهی دو مدل تحلیل پوششی دادهها حاکی ازآن است که اعتبار مدل مالی 072/0 ازمدل ترکیبی بیشتر است. در رویکرد مالی 7 شرکت کارا بوده و در رویکرد ترکیبی 12 شرکت کارا تشخیص داده شد.steganography in images, based on pixel value differencing in 16-pixels blocks
https://jnrm.srbiau.ac.ir/article_17834.html
امروزه نهان نگاری به عنوان هنر یا تکنیکی برای پنهان کردن داده ها در رسانه های مختلف ،کاربردهای بسیار متنوعی در مدیریت اطلاعات دارد . نهان نگاری می تواند در راستای انتقال یک پیام محرمانه ، ارتقاء امنیت ، دسته بندی اطلاعات ، نگهداری اطلاعات خاص و... مورد استفاده قرارگیرد. تصویر یکی از محبوبترین رسانه های مورد استفاده در جریان پنهان سازی داده ها است و روشهای مختلفی برای نهان نگاری اطلاعات در تصاویر وجود دارد که متداولترین آنها روش جاسازی اطلاعات در بیتهای کم ارزش تصویر می باشد و برای آن الگوریتمها و روشهای متنوعی ابداع شده است . یکی از این روشها که مبنای ریاضی دارد ، بهره گیری از محاسبه اختلاف مقادیر دو پیکسل همجوار در جهت شناسایی نقاط مناسب برای جاسازی اطلاعات محرمانه است. در این مقاله دو روش جدید برای نهان نگاری اطلاعات در تصاویر بر اساس محاسبه میزان تفاوتهای مقادیر پیکسلهای همجوار در بلوکهای 4&times;4 پیشنهاد و بر روی تصاویر مختلف آزمایش و با استفاده از معیارهای ارزیابی میانگین مربعات خطا ، نسبت پیک سیگنال به نویز و شاخص شباهت ساختاری مورد بررسی و تجزیه و تحلیل قرار گرفته است و ارزیابی ها نشان می دهد که روش پیشنهادی اول به جهت داشتن نتایج بهتر و ایجاد ظرفیت جاسازی اطلاعات بیشتر ، روش بهینه تری می باشد .Adaptive modified function projective synchronization for a chaotic complex system
https://jnrm.srbiau.ac.ir/article_17846.html
&lrm;This &lrm;paper &lrm;presents &lrm;the&lrm; modified function projective synchronization (MFPS) in a system with complex variables related to the permanent magnet synchronous motor (PMSM) with unknown parameters.&lrm; In this method, by defining a suitable adaptive controller and other desired functions and with the aid of Lyapunov stability theory, the asymptotic stability of the error function can be proved. This can lead to a modified function projective synchronization between two complex chaotic systems with completely unknown parameters. Also, the error of estimating the parameters and the value of the coupling strength is accurately expressed using the proposed method.&lrm;&lrm;Because in the modified projective synchronization (MPS) and function projective synchronization (FPS) methods, fixed coupling strength is considered, this limits the range of applications of these methods. MFPS is, therefore, a more general definition of MPS and FPS when the scaling function matrix is chosen by a constant matrix and a scaling function, respectively. This method can be used on other complex dynamic systems. Numerical simulations are presented to show the effectiveness and validity of the above theoretical results.Futures studies of Iran's tax system: from the perspective of science and information technology With a group decision-making approach
https://jnrm.srbiau.ac.ir/article_17906.html
The purpose of this study is to identify and evaluate strategic and future-making drivers in the field of science and technology of the country&#039;s tax system. This research has been done using futures research method with group decision making approach (Delphi ازی fuzzy triangular technique) and interaction analysis based on environmental scanning and interviews with tax experts. The research method used is descriptive-analytical in nature and based on a mixed method from a methodological point of view. The research method used is descriptive-analytical in nature and based on a mixed method from a methodological point of view. After identifying the first 24 drivers in the question, interview and fuzzy Delphi questionnaire stages, in order to finalize and evaluate the effective and future-making drives, all identified drives are analyzed based on the triangular fuzzy mean and Mick Mac software is used for integrated analysis of interactions between propellants. Based on the research findings, 5 drivers: 1- Intelligence of tax system based on data-driven 2- Standardization of tax processes based on information technology 3- Development of software and intelligent auditing systems 4- Training of personnel according to the uses New software of the day 5- The need to use systems and mechanisms of income and sales in order to be transparent in economic exchanges, were approved as strategic and futuristic drivers. In the continuation of this research, by matching the voting model, the conformity of the research results with the triangular fuzzy Delphi method was confirmed.Designing a robust integrated supply chain model for blood products in times of crisis and uncertainty using NSGA II and MOPSO algorithms
https://jnrm.srbiau.ac.ir/article_18098.html
The field of blood supply chain has become one of the most important fields of research due to its significant importance in saving human lives. After an earthquake, a large number of injured people suffer from severe bleeding and burns that require blood transfusions as soon as possible; Therefore, proper management of the blood supply to the injured is important, and the slightest negligence will endanger human lives. In such a situation, providing assistance to the injured and those in need of blood is very important and the loss of life and losses due to anemia should be greatly reduced by responding to the demand in a timely manner. In the present paper, a two-objective mathematical model under crisis and uncertainty is presented. Due to the high level of uncertainty in the blood supply chain in critical situations and due to the nature of uncertain parameters, a robust planning approach has been used. Also, due to the NP-hard nature of the problem, NSGA II and MOPSO algorithms have been used. To evaluate the results of the model, a real case study in Tehran has been used and sensitivity analysis has been performed on important parameters of the model. Finally, the computational results indicate that the quality of the output solutions of the NSGA II algorithm is better than the MOPSO algorithm and solves the problems in less time; Therefore, the results indicate the stability of the answers of the studied algorithm.Numerical Solution of PDE for MHD flow around a sharp geometry at high Mach and altitudes and its effect on drag and lift coefficients
https://jnrm.srbiau.ac.ir/article_18194.html
In this paper, the effect of magneto-hydrodynamic flow on two aerodynamic geometries (2D &amp; 3D) is investigated. The results (Lift and drag coefficients) for two and three-dimensional geometries, which have been tried to be similar to rocket wings, at high altitudes where the pressure is high and the temperature low, as well as Machs at 6 and 8 and at 9 different angles of attacks, are obtained in two modes with and without magnets. At the end, it was observed that adding a magnet to the problem increases the lift coefficient which maximum increment (77.5%) occurred for 3D geometry at Mach 8 and 50000 m height. Also, comparing the two-dimensional and three-dimensional geometries, it was observed that the stall angle did not occur in the two-dimensional geometry at 9000 altitude and Mach 6, but in the three-dimensional geometry and the same conditions, the stall angle was observed for the non-MHD mode, which is due to flow line of two-dimensional geometry. However, it was further observed that this angle was delayed by adding a magnet to the 3D geometry with the mentioned solution conditions.تاثیر استفاده از بازنمایی ها بر کیفیت تدریس مفاهیم جبری (معادله درجه اول )
https://jnrm.srbiau.ac.ir/article_18233.html
Teaching and learning of Algebra has been always challenging. The process of teaching of Algebra in schools should help students to understand that most of algebraic ideas can be tangible by using representations. It must be tried to help students create mathematical concepts and ideas by providing them an intuitive point of view and gradually moving from concrete and tangible experiences towards more abstract ideas and also through the appropriate use of multiple representations. The main aim of this study is to examine the effectiveness of the use of different types of representations on quality of teaching Algebraic concepts. Research framework was created by three types of representations; numerical, symbolic and graphical. The study sample was selected from a school in District 4th Tehran, Iran. In this quasi-experimental research were implemented among 83 tenth grade female students in humanities, natural sciences, and mathematics subjects. The research tool is researcher-made mathematical test. Formal and content validity was confirmed by 8 professors of mathematics. Using Cronbach alpha criterion, its reliability coefficient was 0.85. Data were collected before and after representation-based teaching method in the experimental group and classic teaching method in the control group. The results of the findings based on statistical inferences on SPSS24 software, showed that using each &quot; graphic, symbolic, numerical representations &quot; regard to teaching status of Algebraic concepts and student&rsquo;s conditions, have positive impact on their performance when solving algebraic problems at tenth grade. The results of this research are useful for math educators and textbook authors.Some of the Topological Gaps of a Generalized Metric Space
https://jnrm.srbiau.ac.ir/article_18238.html
&lrm;In this paper&lrm;, &lrm;we introduce the neighborhood of each element x &lrm;of the Jleli_Samet&#039;s generalized metric space (X,d) &lrm;and &lrm;we &lrm;study &lrm;some &lrm;properties &lrm;of &lrm;the collection T_d of all unions of such neighborhoods which is called generalized topology in the sence of Csaszar. We show that some of the elementary properties on the metric spaces dose not happen on the generalized metric space in the sense of Jleli_Samet. Moreover the generalized topology T_d need not to be compatible. Also we give a sufficient condition to show that any point of the generalized metric space in the sense of Jleli_&lrm;Samet&lrm;, &lrm;has zero self-distance&lrm;. &lrm;We introduce the statistical generalized metric space by replacing the concept of convergence with statistical convergence on the definition of generalized metric space in the sense of Jleli_ Samet and we show that two generalized metric spaces are equivalent. ||| ||| ||| ||| ||| ||| ||| &lrm;The solution of fuzzy Hybrid differential equations
https://jnrm.srbiau.ac.ir/article_18363.html
In this paper we are going to solve the hybrid fuzzy differential equation (HFDE) by Fuzzy Euler’s method (FEM) under generalized differentiability. In this regard, we showed that the solutions obtained by fuzzy Euler method (FEM) are convergent to the exact solution to the problem and this convergence is established in all points of the definition range. On the other hand, we introduced the Allocating method and solved the hybrid fuzzy differential equation for 1-cut, and then assign the right and left spreads to the resulting equation. As a result, the equation is converted in to two equations of linear differential in term of these spreads, and in the end, with the solution of this system, we obtained the left and right spreads. Therefore, the fuzzy solution is obtained. Finally, we introduced three sets of solutions for the hybrid fuzzy differential equation, for more illustration several numerical examples are solved.Developing principles of neuron network based on the principle of expanding “Zadeh” with fuzzy’s parameters
https://jnrm.srbiau.ac.ir/article_18406.html
different algorithms are stated in the structure of neural networks to find weights, but in ambiguous data such as fuzzy, neural networks are not properly defined, it will be explained how neural networks Multilayer feeders can be fuzzy using fuzzy numbers for inputs, targets and weights. First, a three-layer feed neural network and its Backpropagation learning algorithm are reviewed, and on the other hand, the post-diffusion optimization algorithm used to determine the weights of the multilayer neural network is based on definite data and in the neural network with fuzzy data. Not applicable will be examined, for example, the 4 main operators used in artificial intelligence (multiplication for weights and addition for biases) are used as a non-fuzzy definition without applying the principle of expansion, which this article tries to At least these major operators should be redefined on the basis of origin.
In the continuation of the article, the following contents are followed: The second part gives a brief definition of the neural network and then publishes the algorithm and the basic concepts of fuzzy and the principle of expansion.
The third section describes the disadvantages of methods that are not based on the principle of expansion. By replacing the four main operators that are redefined according to the principle of expansion, a new method is presented. In the fourth section, an example is presented will be solved by the method presented in the third section. In the fifth section, the results of the presented method will be summarized.Nil skew α-Armendariz amalgamated rings
https://jnrm.srbiau.ac.ir/article_18415.html
Let f :A&rarr;B be a ring homomorphism and K an ideal of B. In this paper we determine the endomorphism &alpha; of the amalgamation ring A⋈^f K of A and B along K with respect to f. Then we investigate some annihilation properties, such as nil skew &alpha;-Armendariz, and weak skew &alpha;-Armendariz, of the amalgamation ring A⋈^f K. We show the relations among A , f(A)+K and the amalgamation ring A⋈^f K, in terms of their nil skew Armendariz and weak skew Armendariz properties. Also we investigate 2-primal property of the amalgamation ring A⋈^f K. Among other results, we show that, if A is a 2-primal &alpha;_1-compatible ring and f(A) +K is a 2-primal &alpha;_2-compatible ring, then the amalgamation ring A⋈^f K is a nil skew &alpha;-Armendariz ring, where &alpha;_1 and &alpha;_2 are endomorphisms of A and f(A)+K, respectively, and &alpha; is the endomorphism on A⋈^f K induced by &alpha;_1 and &alpha;_2.Fibonacci Length of some subgroups of Sn
https://jnrm.srbiau.ac.ir/article_18431.html
Calculating and deriving the properties of the Fibonacci length of finite groups have been done since 1990, where the Fibonacci length of the finite group is defined to be the least integer such that for the Fibonacci sequence of the elements of the group , all of the equalities hold. In this paper we calculate Fibonacci length of 2- sylow subgroups of , by giving suitable generating sets for it.
m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m m mبررسی نسبت بهینه آموزش بر پایه ریاضیکاری و ریاضیفهمی بهکمک تحلیل پوششی دادهها و تقریب چندجملهای درونیاب نوع آموزش
https://jnrm.srbiau.ac.ir/article_18473.html
در این مقاله ابتدا نگاهی کوتاه به مفهوم یادگیری و تاریخچهی یادگیری پرداخته شد، سپس تعریفی برای آموزش به روش ریاضی کاری و آموزش به روش ریاضی فهمی ارائه شد. مراحل یادگیری به صورت اشارهوار معرفی شد. ما یادگیری را به صورت دو پالس معرفی کردیم که هر پالس نیز شامل دو مرحله است. پالس اول مربوط به ناتوانی و پالس دوم مربوط به توانایی است. این مراحل را برای آموزش ریاضی با بیان مثال، برای هر مرحله یادگیری مورد بررسی قرار دادیم. برای تعیین نسبت بهینه آموزش به دو روش ریاضی کاری و ریاضی فهمی، ابتدا چهار مثال برای چهار مرحله آموزش طراحی شد، سپس این دو روش برای کلاسهای مختلف آموزش ریاضی عمومی دانشجویان فنی و مهندسی در دانشگاه آزاد به کار گرفته شد. دادههای بهدست آمده را به کمک تحلیل پوششی دادهها تحلیل کردیم. ورودیها ریاضیکاری و ریاضیفهمی است. خروجیها یادگیری در پالس اول و یادگیری در پالس دوم است که در نهایت به نسبت بهینه استفاده از هر دو روش در یک کلاس آموزشی رسیدهایم، سپس برای جدول بهینه، با استفاده از درونیابی توابع چندمتغیره، ضابطهای برای دونوع آموزش ارائه دادیم که به صورت یک تابع دومتغیره است. در این تابع، دامنه درصد آموزش به هر دو روش است و برد کارایی است. در نهایت از روی ضابطه تابع و یا نمودار تابع میتوان تعیین کرد نسبت آموزش به هر دو روش بیان شده، چقدر کارایی دارد.ارائه مدل ارزیابی کارایی زنجیره تامین بر مبنای جریان اطلاعات با استفاده از تحلیل پوششی دادههای شبکهای فازی
https://jnrm.srbiau.ac.ir/article_18474.html
توسعه سریع به سمت جهانیسازی، بازار رقابتی، پیشرفت چشمگیر فناوری و انتظارات زیاد مشتری، شرکتها را در کاهش هزینهها و افزایش مزیتهای رقابتی خود ترغیب کرده است. یکی از مواردی که میتواند به دستیابی به مزیت رقابتی به شرکتها کمک کند مدیریت زنجیره تامین میباشد. اطلاعات همچون رابطی بین تمامی فعالیتها و عملیاتهای درون یک زنجیره تأمین عمل میکنند. نوآوری این تحقیق را میتوان در دو جنبه کاربردی و مدلسازی ریاضی نشان داد. به لحاظ جنبه کاربردی، با مرور ادبیات موضوع و بررسی کاربرد تحلیل پوششیدادههای چندمرحلهای و شبکهای در زنجیره تامین، مشخص گردید که تاکنون بیشتر به ارزیابی کارایی جریانهای مالی و فیزیکی در ادبیات موضوع پرداخته شده است و شاخصها بیشتر به دو جریان مالی و فیزیکی در زنجیره تامین مربوط میشود، بنابراین فضای تحقیقاتی بسیاری برای ارزیابی کارایی جریان اطلاعات در زنجیره تامین وجود دارد. اندازهگیری کارایی جریان اطلاعات باید بخش جداییناپذیر مدیریت زنجیره تامین باشد. از این رو هدف این تحقیق، ارائه مدلی جهت ارزیابی کارایی جریان اطلاعات در زنجیره تامین میباشد. به لحاظ جنبه مدلسازی ریاضی، نوآوری تحقیق، در نظرگرفتن مدل شبکه و روابط برگشتپذیر در زنجیره تامین میباشد. با بررسی ادبیات موضوع، شاخصها برای ارزیابی کارایی جریان اطلاعات در زنجیره تامین تعیین و با روش دلفی فازی اعتبار شاخصها بررسی شد. سپس واحد تصمیم گیرنده و ورودیها و خروجیهای مدل معرفی شدند. در این تحقیق جهت ارزیابی کارایی، از تحلیل پوششی دادههای شبکهای فازی استفاده شد و جهت پیادهسازی مدل از نرم افزار GAMS استفاده شد.The New G*Q-Logarithmic Family: Properties, Estimation Approaches and Applications
https://jnrm.srbiau.ac.ir/article_18481.html
In this paper, we introduce a new family of lifetime distributions called the G*Q-Logarithmic family and using the maximum likelihood, Bayesian and E-Bayesian approaches, obtain the estimation of the parameters of the new family as well as analyze the corresponding reliability function. In addition, check some statistical properties such as non-central moment, incomplete moment, moment generating and quantile functions of this family and by considering the inverse Weibull baseline distribution, introduce two sub models of this family called exponential inverse Weibull-logarithmic and power inverse Weibull-logarithmic and represent the statistical properties and parameter estimations of the two new introduced models. In the following, we compare the estimation methods using the Monte Carlo simulation approach. The superiority of the new introduced family to fit real data, with some classical distributions such as gamma, Weibull , Pareto, Gompertz, Lindley, Burr XII type, inverse Weibull, Weibull Mashall-Olkin and exponentiated Weibull has also been investigated and reported.Survey of partial and directional derivatives of fuzzy multi-dimensional mappings under generalized differentiability
https://jnrm.srbiau.ac.ir/article_18527.html
Fuzzy optimization issues have been discussed by many authors in recent articles, inspired by the concepts of generalized Hukuhara difference and generalized Hukuhara differentiability for one-dimensional functions from R to E, and have made considerable progress. In this paper, the concept of total generalized differentiability is introduced by using the concept of generalized difference from R^n to E for multi-dimensional mappings. Furthermore, the total generalized differentiability of the above is also examined and then the concept of directional generalized differentiability and partial generalized differentiability for fuzzy multi-dimensional mappings is defined and discussed in detail. In addition, directional generalized differentiability and partial generalized differentiability are expressed in terms of level-wise generalized differentiability. Also, the properties and the relationship between them are discussed. Finally, the relationships between total generalized differentiability, directional generalized differentiability and partial generalized differentiability are shown to illustrate the power and ability of relationships between them by mentioning some examples.Extension of Carleman's inequality by means of infinite lower triangular matrices
https://jnrm.srbiau.ac.ir/article_19039.html
Let H_&mu;=(h_(n,k) )_(n,k&ge;0) be the Hausdorff matrix associated with the probability measure . Graham Bennett in 1996 established the following extension of Carleman&#039;s inequality
[sumlimits_{n = 0}^infty {prodlimits_{k = 0}^n {{{left| {{x_k}} right|}^{{h_{n,k}}}}} } le {e^{int_0^1 {|log theta |dmu (theta )} }}sumlimits_{n = 0}^infty {left| {{x_n}} right|} .,,,,,,,(1)]
In this paper we show that the Hausdorff matrix in (1) can be replaced by any lower triangular matrix
[A = {left( {{a_{n,k}}} right)_{n,k ge 0}}]
for which the sum of each rows is one, provided that the constant in the right hand side, be replaced by
[left( {mathop {inf }limits_{p &gt; 1} left| A right|_p^p} right)]. . . . . . . . .
As a consequence, we apply our results to Norlund matrices and weighted mean matrices to establish some new inequalities. Further, we show that being equal to 1 is an essential condition for the rows sum of A.Mathematical modeling and problem solving Integrated production planning and preventive maintenance with limited human resources
https://jnrm.srbiau.ac.ir/article_19270.html
The need for integration has long been the focus of researchers and industry managers. Therefore, some researchers sought to coordinate and integrate production, maintenance and repair. The issues of integrating production planning, maintenance and repair and quality control with other parts of production and industrial systems reduce costs and increase the profitability of production organizations. Accordingly, in this research, integration and continuity in simultaneous planning of production areas and support in production organizations have been discussed. These areas include the schedule of production, maintenance and preventive maintenance, and human resources. Therefore, the mathematical optimization model is presented with the aim of manpower planning and increasing the volume of the company&#039;s production by considering the limitations of human resources. In this model, personnel skills, equipment usage rate and equipment failure rate in case of uncertainty with fuzzy method are used in the model parameters. The purpose of the proposed model is to minimize the labor force deficit over production efficiency. The results obtained from the implementation in a production organization by comparing the indefinite and meta-innovative solution show the improvement in the company&#039;s production with the least reasonable time, provide answers with the least possible error. Sensitivity analysis shows that the rate of equipment failure in the intervals before and after the preventive maintenance process has a great impact on the value of the objective function of the mathematical model.COVERING RADIUS OF THE REPETITION CODES OVER Z2Z2^s
https://jnrm.srbiau.ac.ir/article_19411.html
&lrm; The covering radius of code C is the smallest number r such that the spheres of radius r around the codewords cover space. For a binary code C the covering radius r(C) is defined as follows:
r(C) = maxu&isin;Z2{minc&isin;CdH(u, c)}.
The extension of this definition to codes over Z2Z2^s, is that, the covering radius of a code C is the smallest number r such that the spheres of radius r around the codewords cover (Z2Z2^s)^n. Then the covering radius of a code cover Z2Z2s, with respect to the Lee distances, is given by
rL(C) = maxu&isin;Z2 &times;Z2 ^s{minc&isin;CdL(u, c)},
The covering radius is important for determining the&lrm; &lrm;error correcting capability of these codes&lrm;. We determine the exact covering radius of&lrm; the various repetition codes&lrm;, &lrm;which have been constructed using the zero divisors and units in Z2Z2^s &lrm;. .Also, we determine the exact covering radius of&lrm; the various repetition codes&lrm; over Z2Z2^s &lrm;.یک کران بالا برای شاخص گراوواک – پیسانسکی (جی-پی) مکعب های فیبوناچی
https://jnrm.srbiau.ac.ir/article_19412.html
Let G be a simple connected graph with vertex set V(G) and edge set E(G). A topological index of graph G is
a numeric value to which the graph is assigned and is invariant to G automorphisms.The Wiener index of a connected graph G is defined as
W(G) = &sum;{u,v}&sube;V (G) d(u, v)
where d(u,v) is the distance between vertices u and v in G . The Graovac-Pisanski
(G-P) index of a graph G is a modified version of the Wiener index on the distance between each vertex u and its image &alpha;(u) , where &alpha; is an automorphism of graph G . Let Fn be the set of all binary strings of length n that have no two consecutive 1s. The Fibonacci cube &Gamma;n ,where n&gt;1or n=1, is a graph with the vertex set Fn . In this graph, two vertices are adjacent if and only if their differ be at precisely one coordinate. In this paper, we obtain an upper bound for the G-P index of the Fibonacci cubes.A two-stage DEA approach to measure the performance of multi-activity bank branches
https://jnrm.srbiau.ac.ir/article_19415.html
Data envelopment analysis (DEA) is a nonparametric method for measuring the efficiency of decision-making units (DMUs) with multiple inputs and outputs. This research used the original DEA model and extended it to solve the DEA efficiency measurement problem, specifically for unseparated shared inputs. The consideration of this context aims to establish a new DEA approach to explore bank branch performance in different activities based on the optimal usage of unseparated shared inputs. In this study, in the first stage, the efficiency score is calculated from several activities using graph efficiency, and then, a maximum efficiency score pertaining to each DMU is applied to propose a new model. In the second stage, the efficiency score, which is calculated by the new approach on unseparated shared inputs, is defined as a new constraint based on shared inputs on the CCR model. This approach is implemented on the real data of 25 branches of a private bank in Iran. In fact, the efficiency of each branch is calculated, and enhancement guidelines are presented considering the three activities of production, electronic banking, and intermediation. Presenting one real efficiency score for each DMU, instead of the traditional efficiency score, leads to more robust decisions based on a more transparent performance evaluation in bank branches.Determining and Estimating the Weights of Best-Worst Method Criteria through Solving Linear Programming or Mixed Integer Linear Programming Models
https://jnrm.srbiau.ac.ir/article_19535.html
The Best-Worst Method (BWM) is one of the latest methods for determining the weight of criteria in multiple attribute decision making problems. The optimal weights of criteria are determined through forming and solving of a Non-Linear Programming Model (NLPM). Being completely consistent, consistent, or inconsistent of the problem can be determined by calculating consistency ratio and comparing with its threshold. Considering the difficulties of solving NLPM through BWM, some attempts have been done to determine and estimate the criteria weights through forming and solving LPMs or Mixed-Integer LPMs (MILPMs). The presentation of the LPM and the SOS2 Piecewise Linear Approximation (PLA) were the main results of these attempts. The LPM is suitable for determining the weight criteria of completely consistent problems. In the PLA, the weights of criteria were estimated by solving some MILPMs. The necessity of many MILPMs solving and PLAs using to solve all problems is the main deficiencies of this method. In the suggested method of this paper, LPM is solved for weight determining of completely consistent problems criteria. Also, MILMs are solved for weight estimating of consistent problems criteria. For weight estimating of criteria, being criteria weights in the defined bounds are considered as another stop conditions, too. Also, the method doesn&rsquo;t solve inconsistent problems. The results of applying the method to determine and estimate the criteria weights of the 384 sample tests show that results of proposed methods in 79% samples were improved and quality of results were as good as PLA in remained samples.A Two-Phased Metaheuristic Method for Solving High School Course Timetabling
https://jnrm.srbiau.ac.ir/article_19554.html
In this paper, the high school timetabling problem is studied. Here, an efficient hybrid algorithm is presented for the resolution of the problem. The presented algorithm has two phases. In the first phase hard constraints are handled using an integer programming problem. Moreover, suitable decision variables and constraints are introduced to express the problem of the first phase as an integer programming problem. Many constraints are being considered in this paper for the first time and are specific to the high schools in Iran. The feasible solution obtained in the first phase is used as the input of the second phase. In the second phase an efficient hybrid metaheuristic algorithm is presented for improving the quality of the feasible solution of the first phase. The presented metaheuristic algorithm is a combination of the variable neighborhood search algorithm and Tabu search algorithm. The presented algorithm of the second phase, is applied on the solution obtained from the first phase to improve its quality. Finally, numerical results on real world instance are presented to justify the efficiency of the proposed algorithm. The test instances are taken from real world applications that corresponds to two high schools in Shiraz city. The numerical results show that our presented algorithm is able to compute high quality solutions for the real world instances that have been considered in this paper. It is also possible to apply the presented algorithm of the second phase only to improve the quality of existing timetabling provided by experience.A Log-Exp inverse Weibull Model for coherent systems with zero-truncated Poisson-Lindley components
https://jnrm.srbiau.ac.ir/article_19557.html
In this paper, we proposed two new distributions for a coherent system that is equipped with series or parallel components. The count of components is a zero truncated Poisson Lindley random variable. We considered the Log Exponential-inverse Weibull distribution and set it as the baseline distribution of the coherent system. Besides introducing two flexible distributions, named PL-LEIW1 and PL-LEIW2, with various-shaped failure function, the statistical properties and estimation approaches with the parametric and non-parametric context has been studied, comprehensively. Due to different probability density and failure functions, these two distributions based on series or parallel systems, can be fitted to different types of data sets. Different estimation methods of the parameters as maximum likelihood estimation, maximum product of spacing estimation, least squares estimation and Cram&eacute;r-von-Mises minimum distance estimation are compared through the Monte Carlo simulation approaches. The applicability of the proposed distributions have been evaluated by two real data sets.Autoregressive stochastic frontier model with nonlinear function of exogenous variable and dynamic technical inefficiency
https://jnrm.srbiau.ac.ir/article_19605.html
In this paper, we focus on a new autoregressive stochastic frontier model based on the nonlinear function of the exogenous variable in the panel data. In classical financial models, the technical inefficiency is considered uncorrelated, which is often not satisfied in empirical cases. In the proposed autoregressive stochastic frontier model, the error consists of two components, statistical error, and technical inefficiency, so that technical inefficiency is assumed to be autocorrelated. Autocorrelated technical inefficiency can be interpreted as the technical inefficiency of a company at the current time depends on the extent of the company&#039;s previous technical inefficiency and its current transient inefficiency. The semiparametric method for estimating the nonlinear function of the exogenous variable is calculated through a two-step process with Taylor series expansion and nonparametric adjustment factor. The expectation-maximization approach is used to estimate the parameters of the model and the estimation performance is evaluated by Monte Carlo simulation.ابرکلافهای جهانی
https://jnrm.srbiau.ac.ir/article_19645.html
This article first provides a brief overview of the structure of the classical Grassmann manifold(Grassmannian) and how the universal Grassmann manifold is constructed using maps. Also, the underlying topological space and its sheaf structure are introduced to some extent in a theorem. Then, we enter the topic of super-geometry and a new type of supergrassmannian is introduced by applying odd involution in super ringed space and gluing superdomains. In a similar way to the normal case, the next infinite supergrassmannians and the canonical super vector bundle on it are introduced in the supergeometry. Here our tools mainly include multilinear algebra between supermatrices and their induced mappings, the direct limit in the topology of the underlying spaces and the inverse limit in the structural sheaf of the spaces. Finally, we show that the resulting super bundle is a global member of the category of the super vector bundle; Structures that are used in the classification of super vector bundles and are in proportion to the homotopy classification.Studying a numerical stable and quadratic convergence method for solving a new class of absolute value equations.
https://jnrm.srbiau.ac.ir/article_19646.html
In this paper, a new class of absolute value equations is studied as follows:
Ax-B|x|-b=o, ( B&ne;I, &sigma;_&quot;max&quot; (|B|)&lt;&sigma;_&quot;min&quot; (A) ),
This new class of absolute value equations, the single value absolute matrix B is less than the single value matrix A and the matrix B is not exclusively the identity matrix..Therfore the power of choice is wider than other methods of the absolute value equations and all matrices are arbitrary and this new class of absolute value equation is the NP hard problem..We solve this new class using a generalized Newton method and also convergence and numerical stability. Also, by testing the numerical examples of the efficiency and effectiveness of the solution method for the new class, it has been studied with other works that have been done including Lotfi and Zainali and Mangasarain and Khaksars method.Eceptthis new class and Lotfi and Zainali method are quadratic convergence, the rest methods are linear convergence.(Para) topological pseudo mV-algebras
https://jnrm.srbiau.ac.ir/article_19647.html
دراین مقاله - PMVشبه نرم روی شبه - MVجبرها معرفی و برخی از خواص جبری آن مورد بررسی
قرار می گیرد. به ویژه نشان می دهیم که یک کونترواریانت فانکتور از کتگوری شبه -MVجبرها به کتگوری نیم
گروه ها وجود دارد. شبه - MVجبرهای )پارا( توپولوژیکی نیز تعریف و ارتباط آن با - PMVشبه نرم ها مطالعه
می شودا
بررسی تاثیر بروریختی و یکریختی روی - PMVشبه نر م ها نشان می دهیم یک کونترواریانت فانکتور از کتگوری شبه - MVجبرها
به کتگوری نیم گروه ها وجود دارد. در بخش چهارم شبه - MVجبرهای )پارا(توپولوژیکی معرفی و ارتباط بین پیوستگی عمل های موجود
در شبه - MVجبرها را نشان می دهیم. ثابت خواهیم کرد که پیوستگی - PMVشبه نرم ها روی شبه - MVجبرهای توپولوژیکی
با پیوستگی این توابع در عضو خنثی این ساختار معادل است. سرانجام پس از یادآوری شبه متریک، نشان می دهیم که چگونه می توان روی
شبه - MVجبرها یک شبه متریک ساخت بطوریکه یک شبه - MVجبر پاراتوپولوژیکی بدست آید
در انتها فیلتر توپولوژی روی این ساختار جبری معرفی و نشان می دهیم که این ساختار توپولوژیکی یک پارا
شبه - MVتوپولوژیکی استOn Injective Envelopes of G-AF-algebras
https://jnrm.srbiau.ac.ir/article_19648.html
Let G be a discrete group that acts on C^*-algebra A. We prove that in the category of G-AF-algebras and completely positive linear G-equivariant the finite-dimensional G-AF-algebra must be injective. One consequence of this is that no infinite-dimensional G-AF-algebra could be injective in the category of G-C^&lowast;-algebras.
Also, we show that the following statements are equivalent for a separable essentially simple G-C^*-algebra A:
(i) A̅_G, regular completion of A, is a G-W^*-algebra (von-Neumann algebra).
(ii) I_G(A), injective envelope of A, is a G-W*-algebra (von-Neumann algebra).
(iii) A is G-isomorphic to a direct sum of elementary G-C^*-algebras K(H_n), which H_n is a Hilbert space. Since the K(H_n) is G-AF-algebra, and we know that the category of G-AF-algebras is closed under taking the countable direct sum. Therefore, we prove this G-C^*-algebra is a G-AF-algebra.
Further, we show that if separable essentially simple G-C^&lowast;-algebra A is post liminal, then A is liminal G-C^&lowast;-algebra.توزیع وایبول-وایبول: برآورد پارامترها تحت سانسور فزایندۀ پیوندی سازوار نوع 2 و پیشبینی واحدهای سانسور شده
https://jnrm.srbiau.ac.ir/article_19649.html
The goal of this paper is&lrm; to study the Weibull-Weibull (WW) distribution under adaptive type-II hybrid progressive censoring&lrm;, Under this censoring,, &lrm;the distribution parameters are estimated in the classical and Bayesian methods&lrm;. &lrm;Asymptotic distribution of the parameters and asymptotic confidence intervals are introduced&lrm;. &lrm;Moreover&lrm;, &lrm;two bootstrap confidence intervals are achieved&lrm;. &lrm;The Bayesian estimation of the parameters is approximated by using the Markov Chain Monte Carlo (MCMC) algorithm and Lindley&#039;s method due to the lack of explicit forms&lrm;. &lrm;Furthermore&lrm;, &lrm;the highest posterior density (HPD) credible intervals of the parameters are derived&lrm;. &lrm; &lrm;Finally&lrm;, &lrm;the different proposed estimations have been compared by the simulation studies&lrm;.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Bag Filter Design using Neural Network Algorithm and Structural Equation Modeling (Case Study: Cement Factories)
https://jnrm.srbiau.ac.ir/article_19650.html
Although data-driven modeling is now widely used to improve the processes of manufacturing organizations, it is less commonly used in the design of industrial machinery and equipment. In this study, according to the environmental pollution of the cement industry development, bag filters were designed to control and purify polluted air. Accurate calculation of the dimensions of the bag filter can play a significant role in reducing the pollution of cement factories and their economic justification. Therefore, the aim is to take into account the key parameters and provide an efficient method to calculate the optimal bag dimensions required for each filter using the analysis of available data. For this purpose, data mining techniques and structural equation modeling were used. Important parameters in the design of bag filters are temperature, pressure, percentage of inlet dust, dust granulation, dust moisture content, particle type and flammability of materials. Due to the stability of some parameters and non-flammability of particles in cement production, only three factors, dust flow rate, dust volume, and dust size were modeled. The results showed that the Ensemble neural network algorithm along with Boosting can predict the required area of the bag with 95.4% accuracy. Also, in each bag filter, the dust flow rate of 80% was effective in calculating the required surface area of the fabric, and the dust volume and size factors, with 15% and 6%, respectively, were of secondary and tertiary importance.ارائه یک مدل رگرسیونی جدید با رویکرد برنامهریزی آرمانی فازی نوع-2 بازهای مقدار
https://jnrm.srbiau.ac.ir/article_19693.html
Use of ambiguous and imprecise words (such as somewhat, more or less, relatively much) in human speech and judgments, randomness of some events, inability of current tools to measurement of qualitative variables (such as satisfaction, quality, feeling) have caused most of the data and measurements to be accompanied with some degree of uncertainty. In this regard, fuzzy regression models by combining statistical methods with fuzzy approaches via creating functional relationship between input and output variables provide efficient tools for analyzing various types of uncertainty (especially probablistic uncertainty and fuzzy uncertainty). In the present study, in order to fill the gap of type-1 fuzzy regression, a new regression model (two-stage) based on interval type-2 fuzzy goal programming approach is provide. To estimate the fuzzy regression coefficients, we introduce a new fuzzy least absolute errors procedure then propose a new framework for solving interval typ-2 fuzzy goal programming problems through new auxiliary variables. Furthermore, to evaluate the performance of the proposed approach, we provide several new criteria based on fuzzy similarity and distance measures. Finally, in order to illustrate the theoretical results of proposed model and explain how it can be used to derive the interval type-2 fuzzy regression model, we introduce two numerical examples.Finding the common weight set in DEA-R
https://jnrm.srbiau.ac.ir/article_19715.html
To evaluate organizations, finding a common set of weights makes it possible to evaluate decision units under the same conditions. Therefore, in addition to calculating the amount of efficiency, ranking of decision-making units is possible under the same conditions. Because the separation of efficient and inefficient units allows the decision maker to make logical decisions. In classical data envelopment analysis models for calculating the total weight set, there are problems such as non-zero weights and fractional programming structure for related models. In this paper, a model for calculating the total weight set based on the ratio analysis method is proposed. Hence the proposed model is in addition to a linear programming problem for calculating the total weight set, there is no discussion of zero weight so there is no need for weight. Due to the relationship between ratio analysis models and DEA-R, the equivalence of the relevant models has also been studied. Finally, the rankings obtained from several methods of calculating the total weight set in data envelopment analysis and the proposed model based on ratio analysis are compared.Design of a multi-objective optimization model for selecting the optimal stock portfolio with market conditions
https://jnrm.srbiau.ac.ir/article_19736.html
Investors are always looking for ways to study the movement of the capital market in order to achieve greater profitability, and this demand requires that researchers consider the factors influencing risk and return and find appropriate indicators to analyze the market and create a suitable platform for Find the best investment portfolio. In this study, first using financial statement information; Efficiency, ranking and the rate of progress or regression of companies were calculated. And with the performance output calculated as one of the factors of stock portfolio optimization and also considering the random variables of currency shock and liquidity, return, half variance and the ratio of company share price to exchange rate variance created a multi-objective mixed linear programming problem. Was designed and the optimal stock portfolio was proposed through ideal planning. Financial statement information and changes in capital market variables of 48 companies from the top 50 companies of the stock exchange in the second quarter of 1398 were tested with the obtained model and to measure the dynamics of the model, the outputs of the first stage matched the information of the first quarter of 1398 by the same companies. The optimal portfolio with the research assumptions was proposed to investor. The final result of the processing according to the strategies and ideals and different weights of the selected indicators is the formation of a stock portfolio with 5 or 6 companies for investment. Finally, the proposed portfolio indicators were calculated and the selected weights were analyzed sensitively.Routing optimization in goods distribution network by an intelligent transportation system
https://jnrm.srbiau.ac.ir/article_19742.html
Considering that finding a suitable route in daylight hours and busy city with traffic restrictions is a big problem that not only causes non-optimal performance in distribution networks, in this regard, after modeling the problem in the form of vehicle routing development VRP) and considering the traffic and time window constraints and its NP-hard, using genetic metaheuristic algorithms (GA) and particle swarm optimization (PSO) to solve the problem and the optimal route and the number of vehicles required to send The product is specified. Customers&#039; locations are first created using the clustering algorithm, location-based clusters, and sub-clusters according to the delivery time window, then a user interface receives the origin and destination provided by the user as input, this interface with Google Map Connection Receives directions between source and destination. Proposed routes are created using the proposed algorithms and using VANET network routing protocols, route events such as traffic are announced and, if necessary, the vehicle travels from the alternative route. The proposed method has better results than the optimal answers in terms of minimizing distance and number of vehicles.A scaled descent modification of the Hestense-Stiefel conjugate gradient method with application to compressed sensing
https://jnrm.srbiau.ac.ir/article_19834.html
To improve the classic Hestense-Stiefel conjugate gradient method, Shengwei et al. proposed an efficient conjugate gradient method which possesses the sufficient descent property when the line search fulfills the strong Wolfe conditions (by restricting the line search parameters). Inspired by the scaled extension of the Hestense-Stiefel method which is recently presented by Dong et al., a scaled modification of the conjugate gradient method of Shengwei et al. is proposed which satisfies the sufficient descent condition independent of the line search technique as well as the convexity assumption of the objective function. Furthermore, the global convergence of the suggested method is discussed based on standard suppositions. In addition, a smooth approximation for the compressed sensing optimization problem is put forward. Numerical experiments are done on a set of classical problems of the CUTEr library as well as in solving compressed sensing problem. Results of the comparisons illustrate the superiority of the proposed approach.Coincidence and fixed point theorems of generalized weakly contractive mappings in modular-like spaces
https://jnrm.srbiau.ac.ir/article_19853.html
Abstract
Although fixed point theorems in modular spaces have remarkably applied to a wide variety of mathematical problems, these theorems strongly depend on some assumptions which often do not hold in practice or can lead to their reformulations as particular problems in normed vector spaces. A recent trend of research has been dedicated to studying the fundamentals of fixed point theorems and relaxing their assumptions with the ambition of pushing the boundaries of fixed point theory in modular spaces further. The convexity is an assumption which lead to converting of modular space to the normed space so relaxing this assumption lead to stronger theorems. But as we know much theorems are proved on convex modular spaces.
In this paper, we introduce the modular-like definition which is a generalization of modular space. And common fixed point of generalized weakly contraction mappings are proved. We focus on convexity and boundedness of modular-like in fixed point results taken from the literature for generalized weakly contractive mappings. So our results, generalized fixed point theorems in many acpects. Afterwards we present examples and an application to a particular form of integral inclusions to support our main results.Non-smooth Optimality for Robust Multi-objective Optimization Problems
https://jnrm.srbiau.ac.ir/article_19866.html
This article is concerned with non-smooth/nonconvex robust multi-objective optimization problems involving uncertain inequality and equality constraints. Employing some advanced tools of variational analysis such as the approximate extremal principle and the weak fuzzy sum rule for the Frechet subdifferential, we first drive a fuzzy necessary optimality condition of a non-smooth/nonconvex multi-objective optimization problem without any constrained qualification in the sense of the Frechet subdifferential. Then by exploiting the obtained fuzzy optimality condition, the non-smooth version of Fermat&rsquo;s rule and formulae for the limiting subdifferential of an infinite family of non-smooth functions, we establish a necessary optimality condition in terms of the limiting subdifferential for weakly robust efficient solutions of the reference problem. Further,we present an example to illustrate this condition for an uncertain multi-objective optimization problem involving equality and inequality constraints.Finally sufficient conditions for weakly robust efficient solutions and robust efficient solutions of the problems are provided by presenting new concepts of generalized convexity.NORMAL WEIGHTED COMPOSITION-DIFFERENTIATION OPERATORS.
https://jnrm.srbiau.ac.ir/article_19989.html
In this paper, we investigate the normal weighted composition-differentiation operators. For &phi;(0)=0, we completely characterize normal weighted composition-differentiation operators 〖 D〗_(&psi;,&phi;,n). Then we find another class of normal weighted composition-differentiation operators.In this paper, we investigate the normal weighted composition-differentiation operators. For &phi;(0)=0, we completely characterize normal weighted composition-differentiation operators 〖 D〗_(&psi;,&phi;,n). Then we find another class of normal weighted composition-differentiation operators.In this paper, we investigate the normal weighted composition-differentiation operators. For &phi;(0)=0, we completely characterize normal weighted composition-differentiation operators 〖 D〗_(&psi;,&phi;,n). Then we find another class of normal weighted composition-differentiation operators.In this paper, we investigate the normal weighted composition-differentiation operators. For &phi;(0)=0, we completely characterize normal weighted composition-differentiation operators 〖 D〗_(&psi;,&phi;,n). Then we find another class of normal weighted composition-differentiation operators.In this paper, we investigate the normal weighted composition-differentiation operators. For &phi;(0)=0, we completely characterize normal weighted composition-differentiation operators 〖 D〗_(&psi;,&phi;,n). Then we find another class of normal weighted composition-differentiation operatorsImproving production possibility set in data envelopment analysis using confidence interval values
https://jnrm.srbiau.ac.ir/article_20021.html
Considering the production possibility set ( P P S ) a n d using it to rank decision making units ( D M U s ) is a common method in data envelopment analysis ( D E A ) . But due to this fact that the P P S is an estimation of the actual technology set, it often takes a long distance from it, causing ranking problems. In this paper, it is tried to improve the frontier of revenue p o s s i b i l i t y s e t by adding v i r t u a l D M U s using the confidence interval i n o r d e r to provide a better ranking than the c o n v e ntional ranking . F i n a l l y, an example with real data is provided to clarify the content.A numerical method for pricing American option on Mercantile exchange (case study of wheat and soybean)
https://jnrm.srbiau.ac.ir/article_20069.html
American trading options are a way to manage risk in the commodity exchange. This method can be applied before maturity. The valuation of the American trading option in the finite difference method is less complicated than other methods and its calculation time is relatively short, and also with increasing the sample and increasing the volatility, the parameters are not disturbed. In this research, using the mentioned method, the American option for two products of wheat and rapeseed meal has been done and specified according to the data of Iran Commodity Exchange: A) The value of the American option for wheat and rapeseed meal is very small and negligible from the binomial tree method and the finite difference method calculated using the algorithm presented in the research and coding in MATLAB software. B) The American option value for wheat is higher than soybean meal for both options. The main reason for this is the high volatility (&sigma;) of the base price of wheat stocks compared to rapeseed meal. C) The result of the effect of volatility change and price change on the value of the option, is in favor of volatility change. This indicates the importance of the volatility parameter in the valuation of options. Finally, it is suggested that considering that the American option is capable of applying before maturity ,in the iranian stock exchange for agricultural commodities is presented as one of the tools of risk management .ارائه مدل ریاضی زمان متغیر جهت پیشبینی توزیع بازدهی شاخص کل ایران و انس طلای جهانی
https://jnrm.srbiau.ac.ir/article_20073.html
در دههای اخیر، به صورت ویژه از سال 2000 میلادی روشهای پیشرفته ریاضی جهت مدلسازی مالی کاربرد فراوانی پیدا کرده است به طوری که با استفاده از این روشهای میتوان به بسیاری از چالشهای اساسی علوم مالی فائق آمد. پیشبینی بازدهی با کمترین خطا یکی از مسائل بسیار مهم در بازارهای مالی است که مورد توجه پژوهشگران زیادی در چند دههی اخیر قرار گرفته است. مدلهای خطی و غیر خطی سنتی با توجه به عدم کارایی کافی مدلهای خطی در تلاطمهای قیمتی، عدم استخراج صحیح شکل توزیع شرطی دادهها به علت ضبط نشدن پویایی توزیع شرطی در مدلهای غیرخطی و وجود فرضهای محدود کننده خلاف واقعیت، توانایی مناسبی جهت پیشبینی بازدهی در دنیای امروز ندارد. در جهت رفع نقصان مدلهای سنتی، در پژوهش حاضر با استفاده از روش نوین ریاضی زمان-متغیر به نام امتیاز خود رگرسیونی تعمیم یافته (GAS) مدلسازی در راستای پیشبینی توزیع بازدهی شاخص کل بورس اوراق بهادار طی بازه 1390 الی 1399 و برای طلا طی بازه سال 2010 تا 2020 میلادی انجام شده است. نتایج مدلسازی شده برای دو دارایی توسط مدل نوین GAS با نتایج مدلهای GARCH و AR مقایسه شده و عملکرد آنها برای درون و برون نمونه آزموده شده است. نتایج آزمونهای درون و برون نمونهای نشان دهنده این است که جهت پیشبینی توزیع بازدهی روزانه شاخص کل مدل نوین GAS عملکرد بهتری داشته و برای پیشبینی توزیع بازدهی روزانه طلا مدل همانند شاخص کل مدل GAS ارجحتر بوده است.On (Quasi-)morphic Property of Trivial Extensions of Rings
https://jnrm.srbiau.ac.ir/article_20113.html
Let R be a ring and M be an R-R bimodule. R is called left quasi-morphic if for every a&isin;R, there exist elements b,c&isin;R such that l_R (a)=Rb and l_R (c)=Ra. Besides, R is said to be left morphic whenever in the above definition b and c can be chosen the same. In this paper, we investigate conditions under which the trivial extension R⋉M of R by M is (quasi-)morphic. We present some examples showing that neither R nor M inherits the (quasi-)morphic property from R⋉M, and vice versa. So, we obtain several necessary and sufficient conditions under which R⋉M is (quasi-)morphic. For instance, we show that left quasi-morphic property of R⋉M implies that M_R is divisible. Moreover, we prove that if R⋉M is left quasi-morphic and there exists x&isin;M such that either r_R (x)=0 or l_R (x)=0 then (_R^ )M is cyclic. In particular, if R is commutative, then M≃R and R is also quasi-morphic. In addition, we investigate the (quasi-)morphic property of R⋉M whenever M is free as a left (right) module over R. Consequently, we prove the following theorem which is the main outcome of this paper: if R is an integral domain and (_R^ )M is free, then R⋉M is left (quasi-)morphic if and only if R is a division ring and (_R^ )M≃(_R^ )R . As an application of this theorem, the result which is proved by Lee and Zhou, and also by Van An and et al., in 2007 and 2016, respectively, is deduced.استفاده از روش اپسیلون قید در حل مسائل چند هدفه هندسی با رویکرد اعداد صحیح
https://jnrm.srbiau.ac.ir/article_20123.html
Abstract
Combination of geometric programming (GP) via integer variables is one of the interesting and significant subjects in many optimization areas that has been attracted the attention of many researchers in last few decades. Since practically and in the real problems we can not consider only real variables, therefore integer variables play a very important role in such problems.Our goal in this paper is to consider a multi-objective geometric programming problem (MOGPP) with integer variables. We convert the problem in to a mixed integer non-linear programming problem on using the piecewise linear technique. In this approach each of the objective function in MOGPP is approximated on using the piecewise linear approximation. Then we solve the problem by using the weighted method and find the integer solution to the problem by applying the non-linear branch- and &ndash; bound method.
Keywords: geometric programming, multi-objective programming, mixed integer non- linear programming, branch-and-bound algorithmنظریۀ بازیها از فون نویمان و مورگنشترن تا برتالنفی و پریگوژین
https://jnrm.srbiau.ac.ir/article_20140.html
Game theory, according to von Neumann-Morgenstern, is based on the maximin equilibrium, and due to the static method used in compiling the book, dynamic studies are difficult, despite the use of tricks in out of equilibrium discussions (Such as coalitions, bluffs, conspiracies, etc.) have not been considered by economists as they should have been, and the path of game theory has deviated from the framework set by von Neumann-Morgenstern. Efforts to revive the book over the past few decades have also been unsuccessful. In this article, in order to find the cause of this issue, we have proposed new methods based on chaos theory and complexity theory, as well as Prigogine theories in the field of irreversible systems and non-equilibrium, and have taken a separate path in game analysis that can examine and help to capabilities and limitations of human perception in gaining knowledge of the outside world. We have shown that what matters in game theory is not equilibrium, but out of equilibrium and the ability to create work and change in result of the game.Efficiency of stochastic logistics model in predicting the population infected with HIV in Iran
https://jnrm.srbiau.ac.ir/article_20145.html
The study of population growth and population forecasting is a major problem in biology. Since
the growth rate is not completely known over time and depends on environmental factors that
are completely random, then all biological populations (virus, humans, bacteria, etc.) have
some kind of random behavior or noise. It is generally referred to as a random process.
The purpose of this article is to predict the number of people living with HIV in Iran based on
a random logistics model and compare it with a non-random (definitive) model. For a case
study to predict the number of AIDS patients in Iran, we considered the population of patients
during the years 1384 to 1394 and with the help of MATLAB program we simulated the
number of patients for the coming years. Comparison of the obtained results with real values
and the results of other models, shows the high accuracy and efficiency of the model.Examining the adaptation of ICT curricula in mathematics education courses of farhangian to the contents of high school math textbooks from the perspective of student-teachers educators
https://jnrm.srbiau.ac.ir/article_20155.html
Abstract: ICT Developing process will change learning type. Therefore, the curricula of using ICT in mathematics education at Farhangian University should be adapted to the content of high school math textbooks. Sample was selected by quota sampling method. Data were collected by semi-structured interviews, whose validity of questions and their reliability were confirmed by the peer member and external observer reviews. Text of interviews was coded and analyzed by Maxqda2020 software. According to instructors, teaching math ICT lessons to the student-teachers does not cover the ability of teaching content of high school math textbooks by technology and headings do not match the same content. These headings have a lot of exaggeration and emphasize theoretical dimension than practical one. To be highly flexible in each training course, instructors have selective use of software. Hardware training of systems, Information security, technological thinking, using math-computer experts, math specialized software, Headings should be updated.Efficiency analysis in two-stage production systems with the presence of undesirable and reversible factors
https://jnrm.srbiau.ac.ir/article_20161.html
To evaluate the efficiency in the two-stage production systems, some outputs of the second stage may be undesirable. Because the production of final undesirable outputs is far from the goals of decision-making units, the policy should be to reduce undesirable products. On the other hand, some of these undesirable outputs can be used as desirable input for the first stage. In this study, a model for calculating efficiency in the presence of undesirable and reversible factors for a two-stage network is presented. A case study in the field of performance evaluation of fourteen pharmaceutical companies listed on the Iranian Stock Exchange is used to describe the proposed model. In the financial statements of these companies, some financial ratios are considered undesirable reversible factors.
To evaluate the efficiency in the two-stage production systems, some outputs of the second stage may be undesirable. Because the production of final undesirable outputs is far from the goals of decision-making units, the policy should be to reduce undesirable products. On the other hand, some of these undesirable outputs can be used as desirable input for the first stage. In this study, a model for calculating efficiency in the presence of undesirable and reversible factors for a two-stage network is presented. A case study in the field of performance evaluation of fourteen pharmaceutical companies listed on the Iranian Stock Exchange is used to describe the proposed model. In the financial statements of these companies, some financial ratios are considered undesirable reversible factors.مقایسه بین تسلط مغزی و عملکرد ریاضی دانش آموزان پایه هشتم و نهم دوره متوسطه
https://jnrm.srbiau.ac.ir/article_20162.html
The present study was conducted with the aim of determining the relationship between Ned Herrmann brain quadrants and students&rsquo; mathematical performance. The sample size included 200 eighth and ninth grade female students, based on Morgan&rsquo;s table. Data collection tools included the brain dominance assessment questionnaire and the mathematical performance test. In order to analyze the hypotheses testing, structural equation modeling with Amos software was used. The findings showed that there is a positive and direct relationship between Ned Herrmann brain quadrants and mathematical performance of eighth and ninth grade students. As a result, brain quadrants can affect students&#039; mathematical performance. Moreover, it was found that the relationship between brain dominance and mathematical performance was stronger in the ninth grade high school students than eighth grade high school students. this was abstract of article with Comparison between brain proficiency and math performance of eighth and ninth grade high school students title.Investigating the Effectiveness of Brain-compatible Teaching model with Mathematics Reading Comprehension Strategy (SQRQCQ) on Correcting Students’ Computational Errors in Solving Verbal Problems
https://jnrm.srbiau.ac.ir/article_20163.html
This study aimed at investigating the effectiveness of brain-compatible teaching model with mathematics reading comprehension strategy on correcting third grade students&rsquo; computational errors in solving verbal problems. In this study, quasi-experimental research method was used. A verbal question test was used as the research instrument in the study. The sample included 65 third grade female students from non-public schools that were assigned into two groups of control and experimental. The results obtained from Wilcoxon test indicated that the brain-compatible teaching model with mathematics reading comprehension strategy was effective on the third grade students&rsquo; correction of computational errors in solving verbal problems. Therefore, it can be concluded that considering and using the brain-compatible learning activities can enhance students&rsquo; educational success and motivate them to learn Mathematics. This was abstrac of this article whit Investigating the Effectiveness of Brain-compatible Teaching model with Mathematics Reading Comprehension Strategy (SQRQCQ) on Correcting Students&rsquo; Computational Errors in Solving Verbal Problems title.نقش نظریة ونهیلی برای ارتقاء مهارتهای هندسی دانش آموزان و بدفهمی های هندسه
https://jnrm.srbiau.ac.ir/article_20164.html
هدف این پژوهش شناسایی بدفهمی های دانش آموزان در مهارت های هندسی درس هندسه و استفاده از نظریة ون هیلی برای ارتقا و بهبود سطح مهارت های هندسی دانش آموزان بوده است. جامعة آماری آن دانش آموزان دوره متوسطه در استان گیلان بودندکه در سال تحصیلی 1399-1398 تحصیل می کردند. نمونه مورد نظر به صورت تصادفی خوشه ای به تعداد 384 نفر درنظر گرفته شد. این مطالعه ازنظر هدف کاربردی، ازنظر اجرا توصیفی، و از نوع زمینه یابی است. ابزار اندازه گیری این پژوهش آزمون کتبی بوده است. ضریب آلفا کرونباخ 896 /0 به دست آمد. نتایج به دست آمده از این پژوهش نشان داد که اغلب دانش آموزان خطاهای متعددی در مباحث هندسه و مهارت های هندسی داشتند. میانگین نمرات دانش آموزان گروه آزمایش در بدفهمی ها پایین تر از میانگین نمرات دانش آموزان گروه گواه بود. بین عملکرد دانش آموزان گروه کنترل و آزمایش در سطوح تفکر ون هیلی تفاوت معناداری در سطح 05 /0 وجود داشت. این تفاوت به سود دانش آموزان گروه آزمایش بود. همچنین، بین عملکرد دانش آموزان دو گروه در مهارت های هندسی تفاوت معناداری در سطح 05/0 به سود دانش آموزان گروه آزمایش وجود داشت. بنابراین اگر معلمان اگر از مدل ون هیلی در جهت آموزش مفاهیم و مهارت های هندسی استفاده کنند تا حدی بدفهمی های دانش آموزان کاهش می یابد.Strongly δcl-continuous functions in topological spaces
https://jnrm.srbiau.ac.ir/article_20172.html
A new continuity between topological spaces, namely strongly &delta;cl-continuity, is introduced and studied. Basic properties of strongly &delta;cl -continuous functions are investigated. It is proved that for a weakly locally connected space X the strong &delta;cl-continuity of a function f from X into Y is equivalent to the &delta;cl-supercontinuity of f . Using this fact and studying the behavior of strongly &delta;cl-continuous functions on the quasi-components of their domains it is observed that for every weakly locally connected space X there exists a discrete space Y such that the ring of all real-valued strongly &delta;cl-continuous functions is isomorphic to C(Y) . Introducing and using s-regular open sets in a space new separation axioms such as &delta;cl T1, &delta;cl T2, &delta;cl-regular and &delta;cl-complete regularity of the space are created and the relations of these axioms with strongly &delta;cl-continuous functions are investigated. Among them, it is proved that if X is a &delta;cl-completely regular space and f is a &delta;cl-homeomorphism, then X and Y are homeomorphic completely regular spaces. New topological properties; &delta;cl -compactness and s- nearly paracompactness, their properties and relations with strongly &delta;cl-continuous functions are studied. It is observed that if Y is open in X and A is &delta;cl-compact in Y , then A is &delta;cl-compact in X . Furthermore, the image of a &delta;cl-compact space under a strongly &delta;cl-continuous function is compact. Finally the properties of graphs of strongly &delta;cl -continuous functions and &delta;cl-quotient spaces are studied.Distinguished pairs of algebraic elements
https://jnrm.srbiau.ac.ir/article_20173.html
Let v be a henselian valuation on a field K, and v ̃ be its unique extension to the algebraic closure K ̃ of K. An element &alpha;&isin;K ̃K has a distinguished pair if the corresponding set M(&alpha;,K) (defined as the following) has a maximum element
M(&alpha;,K)={v ̃(&alpha;-&beta;)┤&beta; in K ̃,[K(&beta;) ∶K]&lt;[K(&alpha;) ∶K]}.
In this case, a pair (&alpha;,&beta;) of elements of K ̃ is a distinguished pair for &alpha; whenever &beta; is an element of smallest degree over K such that deg&alpha;&gt;deg&beta; and v ̃(&alpha;-&beta;)=supM(&alpha;,K). In this paper, we first present some results about distinguished pairs of algebraic elements of arbitrary degree over henselian valued fields. Then considering the importance of algebraic elements of prime degree in the extensions of valued fields, we concentrate on such elements. In particular, for &alpha;&isin;K ̃ of prime degree over K, we give a necessary and sufficient condition for the existence of the maximum of the corresponding set M(&alpha;,K) by using the minimal polynomial of &alpha; over K.Providing a Model for Preprocessing the Organizational Data in Order to Predict Insurance Business Processes
https://jnrm.srbiau.ac.ir/article_20174.html
In this paper , a new data preprocessing method for predicting business processes is presented , using recursive neural networks , Markov chains and recursive deep learning . The aim of this study is to obtain high quality data and extract the information of the most important variables involved in the disability process of the Social Security Organization (S S O ) . For this purpose, the proposed method includes reducing the number of features and normalizing the data compared to the initial features . The method is implemented for real data of the Social Security Organization and is applied in the form of predictive method . T he results show that the proposed method increases the amount of memory usage , but the amount of CPU usage time becomes significantly lower than the methods compared . In addition, the presented method signifi cantly increases the accuracy and efficiency .Graph Layout: Converting 1-Stack Layout to 2-Queue Layout
https://jnrm.srbiau.ac.ir/article_20175.html
The layout of a graph is finding a linear order for the vertices of the graph such that each of its edges is assigned to exactly one of the stacks (resp. queues) based on the properties of the stack (resp. queue). In this paper, we find a relationship between the stack layout and the queue layout of a graph. In particular, we provide an algorithm for converting a 1-stack layout of any graph into a 2-queue layout of the same graph, and we prove the correction of our algorithm. This method obtains the queue layout from a given stack layout without considering the graph itself and its properties. We hope by generalizing and developing this method one would achieve a queue number (i.e., the smallest number of the queues required by the queue layout of the graph) for some graph categories with almost the same upper and lower bound on their stack number.Pseudo-amenability of some weighted semigroup algebras
https://jnrm.srbiau.ac.ir/article_20176.html
We shall find some equivalence conditions for amenability/ pseudo-amenability of 〖l^1 (S,&omega;)〗^(**) whereas S is an inverse semigroup and &omega; is a weight on S. We will see that amenability, pseudo-amenability and approximate amenability of l^1 (S,&omega;) are the some notions for inverse semigroup S.
Amenability/ pseudo-amenability of l^1 (S,&omega;) is characterized for some types of semigroups such as Archimedean semigroups, rectangular band semigroups and left (right) zero semigroups.
We will find the relation between amenability of l^1 (S,&omega;) and that of 〖l^1 (S,&omega;)〗^(**)
whenever S is an abelian weakly cancellative semigroup.
Some results regording biflatness of l^1 (S,&omega;) for some semigroups are also included.
If S be an inverse semigroup and finite and l^1 〖(S,&omega;)〗^(**) is pseudo-amenable, then we show that l^1 (S,&omega;) is biflat. Also, we will see that for a left (right) zero semigroup, l^1 (S,&omega;) is biflat. If 〖 S= M〗^0 (G,I) be a Brandet semigroup and l^1 (S,&omega;) has a bounded approximate identity, then the biflatness of 〖l^1 (S,&omega;)〗^(**) and the finiteness of G are equivalent.Algebraic solving of interval non-square matrix equations in the form 𝑨 [𝑿]=[𝑩]
https://jnrm.srbiau.ac.ir/article_20177.html
One of the most widely used equations in some scientific branches is matrix equations. In this paper, a special class of these equations namely the interval matrix equations in the form A [X]=[B] and in its general form (square and non-square) are investigated. Two simple methods for algebraic solving of these equations are presented. In the first proposed method by using the interval arithmetic, an interval matrix equation is transformed into a crisp matrix equation with a much larger dimension. Also, based on the second proposed method and by using some presented concepts, an interval matrix equation is transformed into two crisp matrix equations with the same initial dimension. A necessary and sufficient condition for the existence of a unique algebraic solution is presented in a special case. In addition, to show the ability and efficiency of these two methods, numerical examples are provided in cases where the equation has unique algebraic solution or infinite algebraic solution.The Boolean Differential Calculus and Differential Equations
https://jnrm.srbiau.ac.ir/article_20178.html
The Boolean Differential Calculus is a powerful theory that based on definitions of differentials of Boolean variables, differentials of Boolean functions and their derivatives, and extended the Boolean algebra significantly. Definitions and theorems that the Boolean differential calculus based on them, allow us to model the changes of function values together with the changes of the values of variables and many other properties of Boolean functions. In this paper, first we describe the theory of the Boolean differential calculus and present several examples. Then, we introduce the Boolean differential equations. These equations contain the Boolean derivatives of an unknown Boolean function. We show that different from a Boolean equation, the solution of a Boolean differential equation is a set of Boolean functions, and therefore, Boolean differential equations allow us to describe and handle the sets of Boolean functions.
In this paper, first we describe the theory of the Boolean differential calculus and present several examples. Then, we introduce the Boolean differential equations. These equations contain the Boolean derivatives of an unknown Boolean function. We show that different from a Boolean equation, the solution of a Boolean differential equation is a set of Boolean functions, and therefore, Boolean differential equations allow us to describe and handle the sets of Boolean functions.Determining the Optimal Ratio of Employing educational technologies in Traditional Education of Mathematics using Data Envelopment Analysis
https://jnrm.srbiau.ac.ir/article_20179.html
In this paper, after having examined the concept of learning, we analyzed mathematics education using educational applications. First, the stages of learning introduced. Next, learning stages are considered for the two modes of traditional method of mathematics education and using technology in the traditional education. These two methods were employed for different educational classes in some high schools of Karaj city. The data acquired were analyzed using data envelopment analysis. The inputs are traditional mathematics education and education through employing technology. The output is the four learning stages, which is also the second phase input. Learning is the output of the second phase. Finally, we achieved an optimal ratio of using both methods in an educational class.
Z z z z z z z z z z z z z z z z z z z z z z z z z z z z z z z z zSome properties of commuting graphs of finite n-centralizer groups
https://jnrm.srbiau.ac.ir/article_20230.html
Let G be a finite non-abelian group and Z(G) the center of G . The commuting graph of G , denoted by &Gamma;_G , is a simple undirected graph whose vertex set is G-Z(G) and two distinct vertices x and y are adjacent if and only if xy=yx . We say that a group G is n - centralizer if the number of distinct centralizers of its elements is n. Also, a finite non-abelian group G is called an AC-group if C_G(x) is abelian for any x ϵG-Z(G) . The spectrum of a graph is the set of distinct eigenvalues with their multiplicities of the adjacency matrix of the graph. Similarly, the Laplacian spectrum of a graph is the set of distinct eigenvalues with their multiplicities of the Laplacian matrix of the graph. Also, the set of distinct eigenvalues with their multiplicities of the signless Laplacian matrix of the graph is called the signless Laplacian spectrum of the graph. In this paper, we show that the finite 6-centralizers and 7-centralizers groups are AC-group. Moreover, the spectrum, Laplacian spectrum and signless Laplacian spectrum of commuting graphs of these groups are computed.The Most Efficient Estimator of CDF and PDF under Progressive type- II Censored Data
https://jnrm.srbiau.ac.ir/article_20232.html
The main purpose of the present study is to obtain the most efficient estimator of probability density function (PDF) cumulative distribution function (CDF) and exponential distribution based on censored data in which the censored data is the result of the second type of progressive censor sampling design. The classical estimators that we examine in this study are the unequal estimator with the least uniform variance (UMVUE) the maximum likelihood estimator (MLE) the least squares estimator (LSE) and the weighted least squares estimator (WLSE) The efficiency criterion employed in this article is the integral of the mean power of the second error. Due to the complexity of the formulas calculated for MISE, the proposed estimators use numerical methods to compare the performance of these estimators. In this case The results are simulated through the Monte Carlo (MC MC) method with 1000 iterations. Finally, using real data, we examine the proposed estimators.یافتن کارآمدترین واحد تصمیم گیرنده در تحلیل پوششی داده ها با استفاده از الگوریتم رقابت استعماری
https://jnrm.srbiau.ac.ir/article_20270.html
یافتن بهترین و کارآمد ترین واحد تصمیم گیرنده یکی از مهمترین مباحث در تحلیل پوششی داده ها می باشد. دراین مقاله روشی برای برای پیدا کردن کارآمدترین واحد های تصمیم گیرنده کارا با استفاده از تکنیک تحلیل پوششی داده ها و یک الگوریتم تکاملی نوظهور بنام الگوریتم رقابت استعماری، که از پدیده های اجتماعی، سیاسی و فرهنگی انسان سرچشمه می گیرد، پیشنهاد شده است. این الگوریتم از الگوی تاریخی رقابت درمیان کشورهای استعمارگر الهام گرفته درواقع دریچه ای گشوده شده از دنیای ریاضیات و با چشم انداز کاملا انسانی است. در این روش، واحدهای تصمیم گیرنده کارا به عنوان استعمارگر و واحدهای مجازی که در ناحیه مغلوبی آنها قرار دارد را به عنوان مستعمره در نظر گرفته می شود و با استفاده از رقابتی که بین استعمارگرها برای جذب مستعمره های یکدیگر، انجام می شود بهترین واحد مشخص می شود. از جمله حسن این روش این است که بدون حل مدل و تنها با مقایسات زوجی، واحد کارآمد مشخص میشود.طیف رده ای از گراف های به دست آمده از گراف های گرسمن
https://jnrm.srbiau.ac.ir/article_20275.html
Let n , k be positive integers such that n &ge; 3, k &lt; n/2. Let q be a power of a prime p and F _ q be a finite field of order q. Let V(q,n) be a vector space of dimension n over F_q. We define the graph S( q , n , k )as a graph with the vertex set V = V _ k ⋃ V _ (k+1), where V _ k and V _ (k+1) are subspaces in V( q , n )of dimension k and k+1 respectively, in which two vertices v and ware adjacent whenever v is a subspace of w or w is a subspace of v. It is clear that the graph S(q , n , k )is a bipartite graph. In this paper, we study some properties of this graph. In particular, we determine the spectrum of the graph S(q,n,k).برآورد بیزی پارامترهای توزیع لوماکس معکوس اصلاحشدۀ تبدیل لگاریتمی
https://jnrm.srbiau.ac.ir/article_20326.html
In modeling life data, the use of different statistical distributions for the goodness fit of data plays an important role that has recently been considered by many researchers. The inverse Lomax distribution is one of these distributions that is used for goodness fit of lifetime data and power conversions can be used to increase its flexibility. In this paper, using modified logarithmic transformed inverse Lomax distribution of three-parameter is introduced and then, while examining its properties, the parameters are estimated by Bayesian method using the appropriate prior distributions and compared with other estimators. Finally with using simulation, the Bayesian estimator is compared with the maximum likelihood, percentile estimation, maximum distance estimation, and Anderson-Darling estimation compared with using mean square of error.
Real data were used to evaluate the good fit of the logarithmic modified inverse Lomax distribution.
A good comparison of the fit of this distribution with other distributions using real data shows the superiority of this distribution.Presenting a new combined mathematical-data mining model to identify suspected money laundering behaviors in the banking system
https://jnrm.srbiau.ac.ir/article_20534.html
با گذشت زمان و شکلگیری نیازهای اجتماعی و اقتصادی، بانکها و مؤسسات مالی به تدریج شکل گرفته است. بهطوریکه امروزه نبض اقتصاد هر کشور وابسته به این نهادهاست. به دلیل زمینه اقتصادی برخی از جرایم مالی ارتکابی توسط کارکنان بانکها، حقوق کیفری و قانونگذار اقدام به جرمانگاری برخی از رفتارهای خلاف قانون نمودهاند تا زمینه اعتماد مردم به نظام بانکی و اقتصادی را به نوعی تضمین نمایند. پیشرفت فناوری علاوه بر مزایا و محاسن که برای بشر داشته، در برخی مواقع میدانی برای تاختوتاز برخی مجرمین باهوش فراهم کرده است تا با استفاده از این فناوریها در محیط مجازی و الکترونیکی به ارتکاب جرایم بپردازند که با گذشت زمان میتوان افزایش آمار جرایم بانکی در مقایسه با جرایم سنتی را نظاره کرد. نبود قوانین متناسب با ساختار ارائه خدمات نوین بانکی و همچنین عدم تحول نظام بانکی با پیشرفتهای جدید در ارتباط با خدمات نوین بانکی و ضعف سیستمهای کنترلی از جمله مشکلات پیشروی نظام بانکی میباشد. با عنایت به مطالب فوقالذکر به نظر میرسد تدوین قوانین متناسب با فعالیتهای بانکی جدید و همچنین تناسب ساختار نظام بانکی با پیشرفتهای حاصله و تبیین و تدوین سیستمهای نظارتی و بازرسی جدید میتواند تا حد زیادی به حل مشکلات سیستم بانکی در سالهای اخیر کمک شایانی نماید. در این مقاله تلاش گردیده بوسیله تدوین و تبیین رویکردی مبتنی بر آنالیز و پردازش دادهها راهکارهایی جهت پیشگیری از این جرایم پیشنهاد گردد.A multi-objective optimization model for scheduling nurses and routing them in home health care services
https://jnrm.srbiau.ac.ir/article_20537.html
Recently with the growing population and the consequences of factors such as the increase in the number of elderly and patients with chronic diseases, the demand for receiving Home Health Care (HHC) is increasing. HHC services providers are looking for the optimal solutions in planning and scheduling HHC service delivery to maximize the satisfaction of patients and nurses in addition to minimizing the costs to patients. Accordingly on the one hand, the patients prefer to be visited at some specific periods based on their nursing skills. On the other hand, nurses are willing to provide services during their desired time windows. Following the rules corresponding to the working times in the contract, observing the soft and hard time windows, and taking required breaks are some of the restrictions that must be considered.The main objectives of this paper are to minimize the total traveling times and overtime of all nurses and to maximize the satisfaction level of patients as well as nurses, which are achieved through a multi-objective mathematical programming model.The proposed model considers the preferences of the nurses, as well as their patience. Moreover it establishes mandatory breaks for nurses after a certain period of work to assign qualified nurses to patients, optimize schedules, and determine the route of nurses, and provides high-quality services. Finally by applying the proposed model to a set of different random test problems, and by considering the stopping criterion on the problem solving time, we analyze the numerical results corresponding to optimal scheduling and allocation.Improving the performance of the minimum rotational image difference function method using the CMA-ES algorithm in optimal orientation
https://jnrm.srbiau.ac.ir/article_20539.html
Orientation is a vital ability for humans and animals. Noticing the way insects orient in nature can be used to improve the orientation skills of robots. The main question of this research can be stated as follows. What kind of information do insects perceive of natural scenes, using their visual ability, that enables them to orient and to find the direction of movement? For orientation, the minimum of rotational image difference function (MrIDF) method can be applied using panoramic image processing [1]. In MrIDF method, even with full shift, if the distance between the location of the current view image and the reference image increases, the return path cannot be correctly identified due to the increase in the difference between the two images. In this paper, we present a solution that can be used to identify the path and return angle in places far from the reference location. We also improve the efficiency the rotIDF minimum method by using the covariance matrix adaptation evolutionary strategy (CMA-ES) optimization algorithm. We show the efficiency of this method via a navigation example. The results show that finding the direction of movement through the proposed algorithm is done with sufficient accuracy and in much less time.A semiparametric first-order nonlinear autoregressive model with dependent and skew normal errors
https://jnrm.srbiau.ac.ir/article_20558.html
روش های متداول برای تحلیل مدل های اتورگرسیو غیرخطی بر فرض نرمال بودن خطاها بنا نهاده شده است، این در حالی است که در بسیاری از کاربردها، مانده ها ساختاری غیرنرمال را نشان می دهند و استفاده از این روش ها به پیش یینی های گمراه کننده و غیرقابل اعتماد منجر می شود. همچنین در این شرایط روش های پارامتری و ناپارامتری در برآورد تابع رگرسیون غیرخطی از کارایی لازم برخوردار نیستند. در این مقاله ، مدل اتورگرسیو غیرخطی مرتبه ی اول با خطاهای وابسته و چوله نرمال معرفی و یک روش نیمه پارامتری برای برآورد قسمت غیرخطی مدل پیشنهاد شده است. پارامترهای مدل با استفاده از روش ماکسیمم درستنمایی و با به کارگیری الگوریتم EM برآورد شده اند.کارایی مدل پیشنهادی با استفاده از یک مطالعه شبیه سازی و تحلیل یک مجموعه داده واقعی مربوط به داده های روزانه نرخ برابری یورو به دلار ، مورد بررسی قرار گرفته است.Application of copula functions in the banking and economic system
https://jnrm.srbiau.ac.ir/article_20559.html
درکشورهای صنعتی و پیشرفته نیز اهداف اقتصادی اغلب دربرگیرنده موضوعاتی نظیر تامین اشتغال، مبارزه با تورم و غیره است، تا همواره ثبات قیمتها وحفظ اعتبار پول ملی و موارد مشابه را ایجاد نمایند. در این راستا، یکی از روشهای نیل به ثبات اقتصادی، مدیریت صحیح نظام پولی کشور بر پایه ابزار، نهاد و روش مناسب است. بهطوریکه در نظام بانکداری کشور کاربرد ابزارهای اسلامی مختلفی نظیر قرض الحسنه میتواند موجب دستیابی به اهداف فوق باشد. اما، مدیریت و استفاده ناکاراء از این ابزار نیز به نوبه خود موجب اثرات نامطلوب در نظام اقتصادی میگردد. زیرا، به نظر میرسد که درسالهای اخیر نظام پولی کشور درخصوص ابزار قرض الحسنه با وضعیت رکود مواجه بوده، لذا، بررسی علمی آن و اتخاذ تدابیر مناسب بر پایه نتایج پژوهشی میتواند باعث کاهش رکود قرض الحسنه و رسیدن به اهداف اقتصادی کشور باشد. لذا، در این مقاله رابطه بین این سیاستها در مفاهیم اقتصادی و میزان رکود قرض الحسنه را با استفاده از توابع مفصل مورد بررسی قرار گرفته است. از اینرو، با توجه به این که توابع مفصل ساختار وابستگی بین متغیرها را به صورت یک مدل نشان میدهند وبه کمک آنها میتوان اندازه همبستگی بین متغیرها را تعیین و رابطه بین آنها را مدلبندی کرد در این مقاله هم دوره های رکود قرض الحسنه در سیستم اقتصاد بررسی شده است. مورد مطالعاتی این تحقیق استان کرمانشاه است. نتایجی بدست آمده در این تحقیق بیانگر آن است که توابع مفصل ابزار مفیدی برای تعیین توزیع توام وساختار وابستگی متغیر های همبسته رکود هستند.Legendre pseudo-spectral method for solving multi-pantograph delay differential equations
https://jnrm.srbiau.ac.ir/article_20568.html
Delay differential equations have a wide range of applications in science and engineering. When these equations are nonlinear and complex the exact solution can usually not be calculated. So finding a numerical solution with high precision for these equations is essential. In this paper we present a numerical method based on the transferred Legendre polynomials to solve multiple pantograph delay differential equations. In this method we use the Legendre-Gauss-Lobato collocation points to discretize the problem and turn the problem into a nonlinear programming problem. From solving this nonlinear programming problem we get an approximate solution for the the main multiple pantograph delay differential equation. We analyse the feasibility of the nonlinear programming problem and the convergence of the obtained approximate solution to the exact solution. In addition by solving several numerical examples and comparing the method with other methods
We show the efficiency and the capability of the proposed method.Numerical solution of two-dimensional fractional integral differential equations with weak single kernels using Lagrange polynomials
https://jnrm.srbiau.ac.ir/article_20573.html
.The main goal of this article is to provide an approximate solution for two-dimensional fractional integral differential equations using orthogonal Lagrange polynomials, which is widely used in engineering problems. The obtained results show the efficiency and effectiveness of the method and also show the ability of the method to numerically solve some nonlinear models such as nonlinear partial differential equations that have special applications in engineering and nonlinear science problems. First, the shifted orthogonal Lagrange polynomials are defined and the properties of these polynomials are presented. Integration operation matrix and product operation matrix are introduced. Then, these properties are used together with two-dimensional nodes with weak single kernels using Lagrange polynomials to convert the given integral equation to solving nonlinear algebraic equations. Numerical examples are included to demonstrate the validity and applicability of the new method. The obtained results show the efficiency and effectiveness of the method and also show the ability of the method to numerically solve some nonlinear models such as nonlinear partial differential equations that have special applications in engineering and nonlinear science problems.Value efficiency based on semi-additive production technology in DEA
https://jnrm.srbiau.ac.ir/article_20575.html
Value efficiency obtain the efficiency of decision-making units in data envelopment analysis (DEA) by incorporating a Decision Maker&#039;s (DM) a priori knowledge into the analysis. In this regard, we can consider different production technologies in DEA. One of these technologies is semi-additive production technology. The semi-additive production technology based on the observation decision making units and the set of aggregations units corresponding with these units. In this paper, we first introduce the concepts of value efficiency and semi-additive production technology and then calculate the value efficiency of decision-making units in the semi-additive production technology. We show that the value efficiency scores that calculate based on the semi-additive production technology is different from the value efficiency scores of other technologies and we can calculate the correct score of value efficiency. In the following, we compare the proposed approach in this paper with previous approach for measuring value efficiency to a case study related to data sets from banks in Finland, and finally we bring the results of the research.نتایجی در مجموعههای احاطهگر دو به دوبیرونی تام در گرافها
https://jnrm.srbiau.ac.ir/article_20576.html
فرض کنید G=(V,E) گرافی ساده با مجموعه رئوسV و مجموعه یالهای Eباشد. مجموعه احاطهگر دو به دو- بیرونی D از G یک مجموعه احاطهگری از G است به طوری که زیرگراف القایی روی V-D دارای تطابق کامل باشد. مینیمم کاردینال مجموعههای احاطهگر دو به دو-بیرونی را عدد احاطهای دو به دو-بیرونیG گویند و با نماد \widetilde{\gamma}_{pr}(G) نمایش میدهند. همچنین، فرض کنید D یک مجموعه احاطهگر تام از Gباشد بهطوری که زیرگراف القایی روی V-Dدارای تطابق کامل باشد، در این صورت، D را مجموعه احاطهگر دو به دو-بیرونی تام G گویند. مینیمم کاردینال مجموعههای احاطهگر دو به دو-بیرونی تام را عدد احاطهای دو به دو-بیرونی تام G گویند و با نماد\widetilde{\gamma}_{tpr}(G) نمایش میدهند. در این مقاله ضمن معرفی این مفهوم، به مطالعه روی برخی خواص اساسی این پارامتر از گراف پرداخته و کرانهایی بر حسب مرتبه، اندازه، کمرگراف و ... برای آن ارائه میشود. همچنین، نامساوی معروف نورس- گادم برای گرافهای منظم ارائه میگردد.عدد اول فرد p، 2p^5گراف های نیم متقارن از مرتبه
https://jnrm.srbiau.ac.ir/article_20625.html
A simple graph is called semi-symmetric if it is regular and edge transitive but not vertex transitive. In this paper we prove that there is no connected cubic semi-symmetric graph of order 2p^5 in special case and where p is a prime number and p&gt; 3 and p&ne;7. In this paper all graphs are finite and undirected and simple. The class of semi-symmetric graphs was first studied by Folkman who found several infinite families of such graphs and posed eight open problems. Folkman proved that there are no semi-symmetric graphs of order 2p or 2p^2 for any prime p.Then the authors prove that there is no connected cubic semi-symmetric graph of order 2p^3 for any prime p&gt;3 and that for p=3 the Gray graph is the only connected cubic semi-symmetric graph of order 2p^3. Also it is proved that a connected cubic semi-symmetric graph of order 2p^3. Also it is proved that a connected cubic semi-symmetric graph of order 6p^3 exists if and only if p-1 is divisible by 3.Commutativity Peroperty on Strongly Periodic Rings
https://jnrm.srbiau.ac.ir/article_20647.html
Let R be an associative ring but not neccessarily unital, denoting the center of the ring R by Z, the radical Jacobsen denoting it by J, and the set of all nilpotent elements of the ring R by N. Ring R is said to be periodic if for every element x&isin;R there exist distinct m ,n &isin;Z^+ such that x^(n )=x^m .The main origin of the definition of the periodic ring, goes back to Jacobsen&#039;s theorem.In this theorem he proved that each ring with the condition x=x^(n(x)) ,n(x)&gt;1 ,is commutative.Also,great contemporary mathematicians such as Adilyagqub , Howard.E.Bell, M.Chacron,etc.have worked in this field at some point in their scientific life. For the first time in this article, we have described strongly periodic rings and examined their properties and structure. Ring R is said to be strongly periodic if for every element x&isin;R \ (J &cup; N) there are positive integers m ,n of opposite parity such that x^(n )-x^m&isin;N. In this paper, we provide examples of strongly periodic and non-commutative unital rings, and in Theorem 3-6, we also show that the strongly periodic unital ring is commutative or (R, +) a 2-group and R is periodic.An Algorithm for Aggregating the Opinions of Experts in the Group Analysis Hierarchical Process using a Voting Model
https://jnrm.srbiau.ac.ir/article_20653.html
How to obtain a priority vector from a pairwise comparison matrix has been an important issue in the analysis hierarchical process. Group decision making is an important part of multi-criteria decision making in the sis analysis hierarchical process. In group decision-making in which all the experts work as a unit, analysis hierarchical process usually follows one of the traditional approaches of aggregating individual judgments and aggregating individual priorities. In this paper, an algorithm for aggregating the opinions of experts using the voting model is presented. In the voting model, using the votes of individuals regarding the position of the criteria, they rank the criteria without using a pairwise comparison matrix. The voting model is proposed in cases where the number of experts is very large. In cases where the number of experts is limited, the local weights can be determined using the SBM model based on the pairwise comparison matrix of each expert, using which the rank of each criterion is determined .The rank obtained from the SBM model can be considered as the vote of experts, which prevents the mental bias of experts in voting. Therefore, it is possible to aggregate the opinions of experts using the voting model. The following is a numerical example to illustrate the potential of this algorithm. The results show that the ratings obtained from this algorithm in the mode of benevolent cross-evaluation correspond to the ranking using the eigenvector method.Improvment Upper Bound of the Independence Nnmber of Maximum Independent Set in Unit Disk Graph
https://jnrm.srbiau.ac.ir/article_20654.html
In a unit disk graph two vertices are adjacent if the distance between them is less than or equal to one with a two-dimensional Euclidean meter. The size of the maximal independent set in a graph G is called the independent number denoted by &alpha;(G). The size of the minimal connected dominating set in a graph G is called the connected domination number denoted by &gamma;_c^((G)). A subset S of vertices in a graph is called a dominating set if every vertex is either in the subset or adjacent to a vertex in the S. A dominating set is connected if it induces a connected subgraph. A connected dominating set is often used as a virtual backbone in wireless sensor networks to improve communication and storage performance. Clearly the smaller virtual backbone gives the better performance.
However computing a minimal connected dominating set is NP-hard. In other hand relation between the size of the minimal connected dominating set in a graph G is very important. The aim of this paper is to determine two better upper bounds of the independence number dependent on the connected domination number for a unit disk graph. Further we improve the upper bound to obtain the best bound with respect to the upper bounds obtained thus far.Designing a Scatter Search Algorithm for Solving the Lock Scheduling Problem with Non-Identical Parallel Chambers
https://jnrm.srbiau.ac.ir/article_20666.html
In this paper, the scheduling problem of a set of parallel chambers of a lock in maritime transportation is considered. We develop two mixed integer linear programming models to minimize the total waiting time of ships and solve them using the ILOG CPLEX 12.6. Although the lock-based model indicates better performance rather than the time-index model, both are unable to solve large-size instances within one-hour time limit. Due to this, we develop a metaheuristic based on scatter search algorithm which includes a specific solution representation, initial population generation procedure, cross-over operator, repairing operator and local search operator. Computational performances of all developed solution approaches are compared using a set of randomly generated test set. Not only does the scatter search solve all instances in less than one minute, but it also finds the best-found solutions for more than 97% of all instances.
Keywords: Lock Scheduling, Parallel Chambers, Scatter Search Algorithm.مدل معکوس تحلیل پوششی داده ها با ساختار شبکه
https://jnrm.srbiau.ac.ir/article_20667.html
تحلیل پوششی داده ها روشی بر مبنای برنامه ریزی ریاضی است که امروزه برای ارزیابی عملکرد سیستم هایی که ساختار شبکه ای دارند بسیار استفاده می شود. در این میان مدل های پیشرفته ای در تحلیل پوششی داده ها با ساختار شبکه معرفی و در مثال های کاربردی متنوعی استفاده شده اند. از جمله مدل هایی که به مدیران و تصمیم گیران اطلاعات بیشتری در مورد تحلیل عملکرد سیستم تحت هدایتشان می دهد، مدل های معکوس در تحلیل پوششی داده ها است. با توجه به اهمیت سیستم های شبکه ای و اهمیت تحلیل حاصل از اجرای مدل های معکوس در تحلیل پوششی داده ها در این مطالعه هدف مدل سازی سیستم ها با ساختار شبکه ای در تحلیل پوششی داده های معکوس است. از آن جا که مدل های شبکه ای مختلفی با تولیدات میانی، تولیدات برگشت داده شده و ... در ادبیات موضوع و مثال های کاربردی وجود دارد، لذا بررسی این موضوع بسیار ضروری به نظر می رسد. در این مقاله با توجه به تغییرات ورودی های اصلی شبکه که توسط مدیر مشخص می شود، بدنبال تخمین خروجی های شبکه می باشیم و در این میان توجه ویژه ای به تولیدات میانی داشته ایم. همین طور در این روند، از ساختار شبکه در تخمین خروجی های سیستم استفاده کرده ایم. همچنین کارایی واحدهای تصمیم گیرنده بدون تغییر باقی می ماند. در یک مثال عددی نیز به تحلیل نتایج و بررسی بیشتر مدل ارایه شده پرداخته ایم.Numerical solution of Partial Integral-Differential Equations with Weakly Singular Kernel
https://jnrm.srbiau.ac.ir/article_20869.html
In this paper, a numerical method is introduced for solving partial integral-differential equations with weakly singular kernel. The idea of this method is based on the integral operational matrix and the derivative operational matrix of two-dimensional Vita-Lucas polynomials. In the proposed method, first the unknown function and the derivatives in the integral-partial differential equation with weakly singular kernel are approximated using the mentioned polynomials. Then, the studied equation is transformed into a system of algebraic equations using the introduced operational matrices. The approximate solution of the partial integral-differential equations with weakly singular kernel is obtained by solving the obtained system. This method is caused the simplifying of calculations for solving this type of integral equations. Finally, some examples are reported to demonstrate the accuracy and validity of the proposed method that the numerical results show the accuracy of the obtained approximate solution. The advantages of this method is the speed of calculations and accuracy of the results.Using the Differential Quadrature Method to Analyze Post Buckling Of FGM Nanocomposite Symmetric Shell Reinforced By Graphene Plates
https://jnrm.srbiau.ac.ir/article_20877.html
The differential quadratic difference method or DQM for short is one of the numerical methods in which the governing differential equations are converted into groups of first-order algebraic equations using the weight coefficients. Thus, at each point, the derivative will be expressed as a linear sum of weight coefficients and function values at that point and other points of the domain and in the direction of the coordinate axes. In this research, the differential quadratic numerical method is used as a high-order numerical method with a small number of computational nodes, whose numerical results have good accuracy. In recent years, graphene sheets have been used as a reinforcing phase to improve the mechanical, thermal, and electrical properties of nanocomposites. The present study investigates the dynamic instability and postbuckling of the functionally graded porous incomplete cone reinforced with graphene sheets. The desired incomplete cone is surrounded by piezoelectric layers. Using Hamilton&#039;s principle and the assumption of the first-order displacement field and higher-order shear, the equations of motion were derived.
In order to investigate the instabilities and postbuckling, analysis of the governing partial equations of the problem was done using the differential quadratic method, and the Mathew matrix time equations were obtained, which were calculated using the dynamic unstable region bulletin method. All equations were written as calculation codes in MATLAB software. Influential parameters static and dynamic axial load range, boundary conditions, and size of graphene sheets (length, thickness, and width) reinforcing the dynamic unstable region And its aftermath has been checked.Nearest and farthest points in nonlinear semi inner product spaces
https://jnrm.srbiau.ac.ir/article_20904.html
In this paper, we first introduce the nearest and the farthest points in normed spaces, then introduce nonlinear semi inner product spaces, negative dual sets and sun sets. We make statements about these concepts. Define the concept of orthogonality of the nonlinear semi inner product and describe its properties. Finally, we bring the nearest and the farthest points in linear spaces. we introduce the nearest and the farthest points in normed spaces, then introduce nonlinear semi inner product spaces, negative dual sets and sun sets. We make statements about these concepts. Define the concept of orthogonality of the nonlinear semi inner product and describe its properties. Finally, we bring the nearest and the farthest points in linear spaces. we bring the nearest and the farthest points in linear spaces. we introduce the nearest and the farthest points in normed spaces, then introduce nonlinear semi inner product spaces, negative dual sets and sun sets. We make statements about these concepts. Define the concept of orthogonality of the nonlinear semi inner product and describe its properties. Finally, we bring the nearest and the farthest points in linear spaces.An alternative proof for a characterization of inner product spaces
https://jnrm.srbiau.ac.ir/article_20905.html
The most geometric properties of inner product spaces like strict convexity and smoothness my fail to hold in a general normed linear spaces. Also, some main properties of the orthogonality in inner product spaces do not always carry over to generalized orthogonalities. Taking these into account different
types of orthogonality relations provide a good frame for studying the geometric properties of normed linear spaces.
In this paper, we give a characterization of inner product spaces using the notion of Hermite&ndash;Hadamard type of Carlsson&rsquo;s orthogonality in normed linear spaces. First, we provide some more results about the existence property of this orthogonality. Next, we prove that Hermite-Hadamard type of Carlsson&rsquo;s orthogonality is additive in a normed linear space X if and only if X is an inner product space. Our approach to prove this fact is using the relationship between Birkhoff-James orthogonality and the Gateaux differentiability of the norm of normed linear spaces.A novel approach in applying homotopy analysis method
https://jnrm.srbiau.ac.ir/article_20906.html
One of the most important methods for solving linear and nonlinear problems is the homotopic analysis method, which was proposed by Liao in 1992. The main purpose of this paper is to present a modification of homotopy analysis method (HAM), which is called successive homotopy analysis method (SHAM). Several numerical examples are presented to present a comparison between the results obtained by homotopy analysis method and its successive type. The results show that the calculation volume in the successive homotopy analysis method is less that the homotopy analysis method. Also, unlike the homotopy analysis method, the numerical solutions obtained by the successive homotopy analysis method are satisfactory over a relatively wide range. So, by using the successive homotopy analysis method, various types of linear and nonlinear mathematical equations and also some nonlinear equations which are obtained in other scientific branches, for instance physics, mechanics and etc, can be solved numerically.Strong convergence algorithm for solving an equilibrium problem and a fixed point problem using the Bergman distance in Banach spaces
https://jnrm.srbiau.ac.ir/article_20907.html
In this paper, using the Bergman distance, we introduce a new projection-type algorithm for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points. Then, the strong convergence of the sequence generated by the algorithm under suitable conditions is proved. In fact, we prove that the sequence generated by the algorithm converges to the projection of an element in the intersection of the fixed points set and the solutions set of an equilibrium problem. For this purpose, we introduce a Bergman Lipschitz-type condition for a pseudomonotone bifunction. Then, we see an application for a variational inequality problem and we apply our result for finding a common element of the solution set of a variational inequality problem and the set of fixed points of a nonexpansive mapping. Finally, using MATLAB software, we provide a numerical example to illustrate the convergence performance of the main algorithm.A new method based on evolutionary and numerical algorithms for solving different forms of the nonlinear Lane-Emden equations
https://jnrm.srbiau.ac.ir/article_20908.html
Evolutionary algorithms such as neural networks, genetic algorithms, and genetic programming are used in various engineering fields with the advancement of computers and the development of the processor manufacturing industry. But in mathematics, fewer than such methods have been used to solve special problems such as differential equations. This study aims to present a new and innovative method in applied mathematics and astrophysics, according to which mathematical methods can be combined with evolutionary processes, and it can be used to solve Lane-Emden nonlinear second-order differential equations. In this study, a novel GPNLE method based on an evolutionary algorithm (including genetic programming) and combining it with a numerical method (Runge-Kutta) is presented to generate mathematical models with appropriate accuracy from the solution of the second-order nonlinear Lane-Emden differential equations arising from astronomy. The present method&#039;s accuracy, efficiency, and flexibility based on numerical experiments performed on these equations have been analyzed and compared with a powerful method based on Chebyshev polynomials. The obtained result confirms the efficiency and validity of the presented method.Self similar solutions of the Yamabe flow and gradient Einstein-type manifolds in the Finsler geometry
https://jnrm.srbiau.ac.ir/article_20921.html
In the present work, the concepts of Finslerian Yamabe flow equation and Yamabe solitons are investigated. First of all, by using the local one-parameter group of diffeomorphism relevant to Yamabe soliton&rsquo;s vector fields, we find a group of Finslerian metrics as solutions to the Finslerian Yamabe flow. In the other words, a Finslerian Yamabe soliton is a solution of the Finslerian Yamabe flow. These solutions are self-similar solutions of Finslerian Yamabe flow equation and have interesting geometric and physical properties. Furthermore, the notion of extended gradient Einstein-type manifolds is studied on Finsler spaces. Moreover, we show that by considering either the Ricci tensor is bounded from below and injectivity radius is bounded away from zero or the Ricci tensor is bounded from above, then the complete extended gradient Einstein-type Finslerian manifold is of finite topological type structure. Indeed, this manifold is homeomorghic to the interior of a compact manifold with boundary.Determining returns to scales the left and right in a two-stage green supply chain using network data envelopment analysis
https://jnrm.srbiau.ac.ir/article_20932.html
In the present age, evaluating and then improving the performance of production systems and supply chains as a whole is the only possible way to compete in the global business market. Data Envelopment Analysis (DEA) is a non-parametric method for measuring the relative efficiency of production systems and decision-making units with multiple homogeneous inputs and outputs as a mathematical programming method. Determining the type of return to scale (RTS) helps managers make more accurate predictions about the expansion or limitation of the decision-making unit (DMU). Due to the importance of RTS in relation to management decisions, various methods have been proposed by DEA researchers to introduce and determine its type. Research in RTS evaluation has led to a more general classification of RTS types, with the titles Left return to scale (L-RTS) and Right return to scale (R-RTS). This research studies the two-stage production process and introduces an approach to estimating the type of efficiency on the right and left scales of DMUs. In this paper, the application of the DEA network model to calculate the relative efficiency and return to scale of cement companies listed on the stock exchange has been studied. The data used in the model is related to the production process of 42 cement companies in 2020.Resource Allocation in Data Envelopment Analysis on Fuzzy inputs and outputs
https://jnrm.srbiau.ac.ir/article_20933.html
Abstract:
Data envelopment analysis technique is used to evaluate the relative efficiency of a set of decision-making units that have been studied in different fields. One of the important issues in data envelopment analysis is sensitivity analysis. Many articles have been presented in this field by researchers, sometimes managers are concentrating on issues that would be critical to allocate a fixed cost to decision-making units. Since in real problems the primary data are not precise but interval, ordinal, and qualitative therefore this study have been discussed this issue and present a model for assigning a fuzzy fixed cost to decision-making units. Moreover, the inputs and outputs of all units are assumed to be fuzzy and the allocation of new costs should be such that the highest number of inefficient units become efficient. At the end, this model has been utilized in two numerical examples and the results have been presented.Triangular matrix representation of skew Hurwitz series rings
https://jnrm.srbiau.ac.ir/article_20934.html
. A ring R is a Baer ring if the right annihilator of every nonempty subset of R is generated by an idempotent. Moreover, R is called quasi-Baer if the right annihilator of every right ideal of R is generated as a right ideal by an idempotent. The piecewise prime ring (simply, PWP ring) is a quasi-Baer ring with finite triangulating dimension. Birkenmeier and Park raised the open problems to enlarge the class of ring extensions of PWP rings which are also PWP rings and to enlarge the class of ring extensions of rings with finite triangulating dimension which also have finite triangulating dimension. In this paper, we enlarge the class of ring extensions of PWP rings. In particular, we investigate the problem when a skew Hurwitz series ring (HR,&alpha;) has the same triangulating dimension as the ring R, where R is a ring equipped with an endomorphism &alpha;. Furthermore, for a piecewise prime ring we determine a large class of the skew Hurwitz series ring which have a generalized triangular matrix representation for which the diagonal rings are prime.NEW TOPOLOGY ON M-METRIC SPACE
https://jnrm.srbiau.ac.ir/article_20946.html
Main Part:
In this article, we provide a new definition of M-metric space. By presenting the topology of this space, while examining some of its properties, we show that the limit of a sequence is not necessarily unique. In the following, by defining a new topology, we state that it is weaker than the previously defined topology.
-----------------------------------------------------------
Detail:
In1994 in [1] Matthews introduced the notion of a partial metric space and proved the contraction principle of Banach in this new framework. Next, many fixed-point theorems in partial metric spaces have been given by several mathematicians.
In this paper, we extend the p-metric space to an M-metric space, and we shall show that our definition is a real generalization of the p-metric by presenting some examples.
Keywords: M-metric space; Pritial metric space.
Mathematics Subject Classification [2010]: 54H25, 47H10.
References
[1] S. Matthews, Partial metric topology. Ann. N.Y. Acad. Sci. 728, 183-197 (1994)
[2] Mehdi Asadi, Erdal Karapınar and Peyman Salimi, New extension of p-metric spaces with some fixed-point results on M-metric spaces, Journal of Inequalities and Applications 2014, 2014:18Optimizing the Partner Selection Problem and Scheduling the Collaborative Transportation
https://jnrm.srbiau.ac.ir/article_20968.html
In today&rsquo;s competitive business, companies are continuously looking for new ways to reduce their costs and improve their products&rsquo; quality. A company needs various resources to stay in the market and it can be challenging to provide these resources for small and medium-sized companies. Therefore, companies share their capacities with each other to achieve their common goals. This sharing can be done under the title of a virtual enterprise. A virtual enterprise is an economic alliance in which several companies share their capabilities to provide specific products and services. Virtual company&rsquo; advantages over the traditional companies include flexible structure and quick response to the market. VE should provide the situation for manufacturing products and services at a lower cost and higher quality with less risk and shorter lead times. So, partner selection has become a vital task for companies. The success of a virtual company is dependent on the selection of partners.
In this study, a new partner selection model is presented with a VE concept integrated with collaborative transportation. The proposed model is presented in deterministic state.
A numerical example is analyzed to investigate model behavior, and the results are presented and discussed. Finally, the sensitivity of the objective function is analyzed by some parameters and the results show that by increasing two parameters, the maximum number of sub-projects carried out by a partner and the transportation capacity, the total costs either decrease or remain unchanged.The effectiveness of using APOS-ACE theory on students' understanding of the concept of derivative in a discrete learning environment
https://jnrm.srbiau.ac.ir/article_20969.html
The aim of this study was to investigate the effectiveness of APOS-ACE theory on students&#039; understanding of the concept of derivative in the discrete learning environment introduced by Wiegand (2014). In this approach, a step-by-step method to obtain difference sequence of functions defined on z and Q is proposed. For this purpose, a quasi-experimental method of pretest-posttest with control group was used to conduct this research. In the present study, 42 engineering students from one of the universities of Fars province, participated in two groups. Initially, a pre-test of both groups was taken using a researcher-made test. Then the ACE teaching cycle was designed with the help of GeoGebra software and in the experimental group, the concept of discrete derivative was taught using this cycle. Covariance was used to analyze the obtained data. Findings of this study showed that the use of ACE cycle has been effective on students&#039; understanding of the concept of discrete derivative approach and gradually helped to a better understanding of the rate of change and the local rate of change with the help of sequences.Designing a Combinetorial Models in Teaching and Derivative of Real Functions.
https://jnrm.srbiau.ac.ir/article_20982.html
According to the research, students do not have a proper understanding of the concept of derivative in the early years of university, which can be due to the teaching style they have been exposed to and the type of their comprehension after teaching. Therefore, the researcher intends to present and confirm a conceptual model for understanding derivative, and identify the challenges of understanding derivative in terms of the teachers&#039; instructions and the knowledge of teaching, and finally determine the preferred style of teaching the concept of derivative. The present study is descriptive and post-event and the analysis method is of correlational type. The statistical sample consists of 74 male and female mathematics professors as well as 148 students.The Data were collected using two standard questionnaires of Gerasha-Richman teaching method and Jung&rsquo;s derivative comprehension questionnaire, as well as two descriptive tests to assess the teachers&rsquo; knowledge of instruction and the students&#039; relational and instrumental understanding of the concept of derivative.According to the results of structural equations, the effect of teaching style is more than teaching knowledge. According to the results of fuzzy TOPSIS, the preferred style of derivative teaching is interactive. the two factors of relational and instrumental understanding and then the nature of understanding the concept of derivative have the greatest effect on determining students&#039; understanding of the concept of derivative. Moreover, the level of procedural knowledge of the professors in derivative teaching is more than the conceptual knowledge, and the students&#039; instrumental understanding is more than the relational understanding.The generalized variational iteration method to solve the fractal partial differential equations
https://jnrm.srbiau.ac.ir/article_20985.html
Fractional calculus is a branch of classical mathematics, which deals with the generalization of fractional order derivative and integral operator. Recently, a great deal of research has been carried out on the fractional calculus to study the phenomena associated with fractal structures and processes. Fractals have a fractional dimension and occur naturally in non-linear and imbalanced phenomena in various forms and contexts. In recent years, various types of derivatives and fractional and fractal calculus have been proposed by many scientists and have been extensively utilized. Measurements are localized in physical processes, and local fractional calculus is a useful tool for solving some type of physical and engineering problems. Gangal studied the local fractional calculus and got the relation between it and the fractals. Using the local fractional calculus and fractal properties, he defined the fractal-alpha calculus on a subset of the real line, which is a simple calculs, useful, structural and algorithmic. In this study, we first describe the fractal-F alpha calculus. Next, we propose The generalized variational iteration method based on the fractal calculus. To show the efficiency of fractal calculus and the new method, we solve several fractal partial differential equations with this method and show that this method is better, easier and more suitable than the two other methods mention the above.ارائه مدل برنامهریزی ریاضی برای تعیین راهکارهای بهینه مواجهه با ریسک در صنعت بیمه
https://jnrm.srbiau.ac.ir/article_20986.html
امروزه فضای کسب و کار نسبت به دهههای قبل با تغییرات اساسی مواجه شده است. تغییرات فراوان و عدم قطعیت ایجاد شده ناشی از آن در فضای کسب و کار خود را در قالب مؤلفههای گوناگونی متجلی میسازد که یکی از مهمترین آنها، مسئله ریسک میباشد. صنعت بیمه به عنوان یک صنعت رو به رشد و با بازار مالی گسترده یکی از صنایعی است که بیشترین ارتباط را با مباحث مرتبط با ریسک و مدیریت آن دارد. مسئله اساسی تحقیق حاضر، ارائه مدلی به منظور انتخاب بهینه راهکار مواجهه با ریسک در صنعت بیمه میباشد.
در این تحقیق ابتدا ریسکهای موجود در صنعت بیمه و راهکارهای مواجهه با آن شناسایی شده و سپس معیارهای ارزیابی راهکارهای مواجهه با ریسک استخراج گردید. در ادامه بر اساس ریسکها و راهکارهای استخراجشده، مدل برنامهریزی ریاضی چند هدفه جهت انتخاب بهینه راهکار مواجه با ریسک ارائه و با استفاده از الگوریتم فرا ابتکاری NSGA II مدل حل گردید.
نتایج تحقیق نشان میدهد آموزش کارکنان میتواند بسیاری از مشکلات شرکت در زمینه مدیریت ریسک را تسهیل نماید. همچنین بسیاری از ریسکهای حادث شده برای شرکت ناشی از عملکرد خود شرکت میباشد. لذا ضرورت طراحی و پیادهسازی یک تیم پایش و ارزیابی مستمر بر عملکرد به خوبی احساس میشود.Fuzzy Hv-rings
https://jnrm.srbiau.ac.ir/article_20996.html
Algebraic hyperstructures are a suitable generalization of classical algebraic structures. In a classical algebraic structure, the composition of two elements is an element, while in an algebraic hyperstructures, the composition of two elements is a set. Given the importance of research in the field of algebraic hyperstructures and fuzzy logic, research on the relationship between them, especially research on the concept of fuzzy Hv-structures is of particular importance. Hv-structures are hyperstructures in which &ldquo;equality&rdquo; is replaced by &ldquo;nonempty intersections&rdquo;. In this note we generalize the notion of a Hv-rings H to a fuzzy Hv-rings by replacing P(H), the set of all subsets of H, by F(H), the set of all fuzzy subset of H. In this regard, first the concept of fuzzy Hv-rings is expressed and examples and basic results of this definition are presented. In the following, the concept of p-cut of fuzzy Hv-rings is expressed and also the relationship between fuzzy Hv-rings and Hv-rings is investigated.A numerical method based on finite difference scheme for solving fractional Cable equation
https://jnrm.srbiau.ac.ir/article_21043.html
In this paper, we proposed a numerical approximation to solve a type of fractional Cable equations based on the finite difference scheme that can be easily generalized to other fractional cable equations. The fractional derivatives are considered in the Caputo-Fabrizio type. By using the forward difference formula, the fractional derivative is approximated and then we can discretize the fractional equation with the mentioned approximation and difference scheme In order to demonstrate the stability and convergence, several Theorems and Lemmas are provided. Finally, two numerical examples of the cable equation with different boundary and initial conditions are used to demonstrate the effective and accuracy of the scheme. The obtained numerical results are compared with the analytical solution. Figures presented in both examples show consistency of numerical and analytical solutions that can be clearly seen. Tables also show a small error between the numerical and analytical solution which show that our proposed method is highly accurate.A multi-objective mathematical model in an educational system with online and face-to-face learning courses during the Coronavirus pandemic
https://jnrm.srbiau.ac.ir/article_21060.html
The correct and optimal planning of the educational system is essential to guarantee the current and future achievements of any country. In recent years, due to the coronavirus pandemic, many organizations and scientific institutions have decided to hold educational, research, and courses for learners in the form of electronic (online) courses. Then, by passing the time and the vaccination of an acceptable population of the communities, the aforementioned organizations and institutions have decided that the courses should be conducted as a combination of electronic and in-person courses. In this article, according to the mentioned problem, a mathematical model is built based on how to plan the educational system with the aim of minimizing the multi-objective costing related to this system. Educational institutions and the Internethave been noted. In the parts of the modeling that are related to in-person courses, elements (e.g., the costs of providing facilities, equipment, and the space for holding courses) have been taken into consideration with regard to the points related to the Covid-19 disease. Due to the complexity of the problem, it is considered one of the NP-hard ones. Therefore, to solve small-sized problems, GAMS software was used. To obtain the set of Pareto solutions in medium- and large-sized problems, two meta-heuristic algorithms, namely genetic algorithm and Krill herd optimization, are used. Finally, the results with selected strategies have shown the achievement of optimal solutions in less and faster time by using meta-heuristic algorithms than the exact method and the optimal efficiency of the aforementioned algorithms.Baire's Theorem and Their Consequences in Modular Spaces
https://jnrm.srbiau.ac.ir/article_21103.html
Many applications to dierential and integral equations with kernels of
non power types were good reasons for the development of the theory of Orlicz
spaces. Recently a new interest in classical Orlicz spaces is emerging in
connection with problems of convexity, the Boyd indices and rearrangement
invariant function spaces (see [8]).
The succesful theory of Orlicz spaces inspired Nakano [11], to develop
the theory of modular spaces in connection with the theory of order spaces.
This was redened and generalized by Orlicz and Musielak. To control the pathological behavior of modular in modular spaces,
some conditions such as 42..condition and the Fatou property are usually
assumed (see, e.g., [1, 3, 5, 6, 10, 12]). For instance, in [1], Banach&#039;s xed
point theorem is given in modular spaces that their modular satisfy both
the 42..condition and the Fatou property.
In this paper, we present and discuss some topological properties of
modular spaces. Namely, we aim to prove the Baire&#039;s theorem and then
open mapping and closed graph theorem in such spaces.Investigating the Relationship between Ordinary and Fuzzy Inner Product Spaces
https://jnrm.srbiau.ac.ir/article_21163.html
In this paper, we study the relationship between ordinary inner product spaces and fuzzy inner product spaces. We introduce fuzzy inner product as &lang;.,.&rang;(.). Also, we write norm by parameter. Here are some types of arbitrary spaces. We show that these spaces are fuzzy inner product spaces. Furthermore, we investigate fuzzy convergence, fuzzy Cauchy, fuzzy complete and fuzzy Hilbert in the space W^m [0,1] by fuzzy inner space which is in the form &lang;.,.&rang;(.). We study relationship between ordinary Hilbert space and fuzzy Hilbert space. Then we give a new definition of the fuzzy reproducing kernel property, where fuzzy inner product is by parameter &lambda;. The properties of the fuzzy reproducing kernel are completely discussed in this paper. We study relationship between ordinary Hilbert space and fuzzy Hilbert space. Then we give a new definition of the fuzzy reproducing kernel property, where fuzzy inner product is by parameter &lambda;. The properties of the fuzzy reproducing kernel are completely discussed in this paper.NEW BOUNDS FOR SOME GENERALIZED EULER-TYPE CONSTANTS AND THEIR ACHIEVEMENTS
https://jnrm.srbiau.ac.ir/article_21177.html
We deal with some generalizations of Euler-Type constants that are motivated by
derivatives of limit summand functions. In order to study the derivative of the summand functions, the second author had faced a functional sequence leading him to a generalization of the Euler-type constants. In this paper, we give some new bounds for such generalized Euler type constants and state some related results and inequalities.
As a result of the topic, we obtain upper and lower bounds for a series of the sequence f&#039;(j)
(obtained from the derivatives of f at positive integer points, if f is differentiable) for all real functions with certain properties. The obtained results can be applied to a wide range of special functions. Finally, we state some of their applications for several special functions, that one of them is an inequality for the inverse function of the tangent function (for all positive integers m) .Evaluation of anomalies due to inadequate disclosure of environmental activities by the hybrid BW-AHP method
https://jnrm.srbiau.ac.ir/article_21365.html
The purpose of this research is to investigate and analyze the strategies that cause the consequences of not properly disclosing environmental activities in financial reporting. For this purpose, after extracting the anomalies caused by the lack of proper disclosure of environmental activities, each of the strategies was evaluated using the opinion of experts and decision makers. In this research, the combined of the Best-Worst method and the Analytical Hierarchy Process method (BW-AHP) was used to evaluate the anomalies caused by the lack of proper disclosure of environmental activities, which is a smart combination of two famous Multi-Attribute Decision-Making (MADM). The results of this research showed that polluting activities, monopoly of products and markets, avoiding disclosure of undesirable information, non-compensation of environmental damages and non-payment of pollution taxes with importance coefficients of 0.26, 0.25, 0.22, 0.2 and 0.9 respectively are the first to the fifth consequences of the lack of proper disclosure.متریک پذیری پلی گروههای توپولوژیکی
https://jnrm.srbiau.ac.ir/article_21366.html
One of the most important parts of topological structures is metrizability, which creates the conditions for a metric such as d to be found so that the topology obtained from this metric is the same as the original topology. Topological algebraic structures that are closely related to ℝ and its resulting spaces. For example, in topological groups, as a topological algebraic structure, there are very close properties with metric and soft spaces, such as being completely regular, being Hausdorff,…. .In terms of metrizability, there is an astonishing case called the Birkhoff - Kakutani case, which states that a topological group is metricable if and only if it is the first-countable. In this manuscript, we make topological polygroup metrizable. We do this by definition of the prenorm on topological polygoups, and finally we prove the fundamental theorem of metrizability on topological polygroups Like topological groups, it is the first-countable of topological polygroup.Transition curves approximation for Mathieu differential equation with two fractional derivatives
https://jnrm.srbiau.ac.ir/article_21367.html
Mathieu differential equation in a linear second kind differential equation, which appears in different areas in
applied mathematics and engineering. Most of the flat oscillators are modeled as Mathieu differential equation.
One of the most important studies in this area is the study of transition curves and stability behavior of the
solution. In this paper, the Mathieu differential equation with two fractional derivatives is studied. The
transition curves, which separate the stability and the instability region in the parameters plane of the problem,
are approximated using Harmonic Balance method. The Graph of parameter changes is plotted to achieve
instability. Finding the optimal order of fractional derivatives to reach the maximum amplitude to initiate
instability is discussed. The results show that if we convert the derivatives of the Mathieu differential equation
to the integer order derivative, the results obtained from this method are consistent with the results obtained in
other texts.A method for solving the Z-fractional differential equation With fuzzy confidence
https://jnrm.srbiau.ac.ir/article_21368.html
In this paper, at first, we introduce Z-numbers and some basic concepts such as fuzzy numbers and fractional differential equations with Z-valuation. Then we propose a numerical method to estimate the solution of the fractional differential equation with the initial value based on Z-numbers with fuzzy confidence. This problem has two parts; The first part is the limitation with fuzzy valuation and the second part is the confidence of the first part (limitation) with fuzzy valuation. The proposed method is a hybrid method based on the corrected fractional Euler&rsquo;s method and the probability distribution function. The main feature of this approach is that the probability function is used to represent the reliability of the problem limitation part. The algorithm is presented and the convergence of the algorithm is proved. A numerical example is given as an application of the main results and so the proposed method can arbitrarily approximate the fractional differential equations with Z-valuation.Multi-valued Bregman nonspreading mapping in Banach spaces
https://jnrm.srbiau.ac.ir/article_21369.html
In 2008, Kohsaka and Takahashi introduced a nonlinear mapping called nonspreading mapping
in a smooth, strictly convex, and reflexive Banach space[1]. Since then, some fixed point theorems
of such mapping has been studied by many researchers. We note that the concept of nonspreading
mapping is very important because of useful applications. In this paper, we introduce and
investigate the concept of multi-valued nonspreading mapping in Banach spaces which is called
multi-valued Bregman nonspreading mapping. For this purpose, we introduce the Bregman
Hausdorff distance on closed and bounded subsets of a Banach space X. We prove some properties
of multi-valued Bregman nonspreading mapping. Furthermore, a weak convergence theorem
for approximating a common fixed point of a finite family of multi-valued Bregman nonspreading
mappings is established in Banach spaces. Also, we prove a theorem of the existence of a fixed
point for the single-valued Bregman nonspreading mappings. The theorems proved improve and
complete a host of important recent results.Identification and ranking of the influential criteria in flexible jobshop in an automative company
https://jnrm.srbiau.ac.ir/article_21370.html
In the last decade, the issue of flexible workshop work has attracted the attention of most researchers and its use in the world of industry. It can be said that flexible workshop scheduling is a developed form of workshop scheduling in which the operation process can be performed on different machines of a set of machines. The recent study has been done with descriptive-analytical methodology and using Delphi methods, best-worst and best priority, with the aim of identifying and ranking the effective criteria in the flexible workshop problem. The criteria were ranked based on library studies, interviews and industry experts&#039; opinions so that those who are more important than others enter the Delphi method and the final criteria are evaluated with less time and fewer round trips . The results of the two methods of best-worst and best priority were compared using computational methods, and since the ranking of the criteria was not the same in both methods, the Spearman correlation coefficient was used to choose which method produced the best results. Was taken. The novelty and uniqueness of this research is the comprehensive evaluation of the criteria compared to previous studies. In this regard, the most appropriate and stable decision-making and ranking methods have been used to identify and identify important evaluation criteria, and after screening and removing the criteria in the focal group and based on the Delphi method, to design a suitable questionnaire for Distribution has taken place among experts.تحلیل و محاسبه ی کارایی و توان مدیریتی در شرکت های گاز استانی
https://jnrm.srbiau.ac.ir/article_21371.html
Managerial ability is one of the important indicators in evaluating performance. On the other hand, such capabilities and efforts by the management are not directly visible in the efficiency analysis of the decision-making units. Also, since natural gas as a clean fuel and low carbon source is one of the best energy sources in the world, so the gas company is one of the important institutions in the production of clean energy. So, in this article, an attempt has been made to measure the efficiency of 29 provincial gas companies and also to calculate their managerial capacity during three consecutive years 96, 97, and 98 and by identifying the contextual variables, the effect of each on the performance of these companies has been calculated. And then a ranking in terms of managerial ability is obtained for each of these units. For this purpose, during a three-step process, the efficiency of gas companies with the presence of contextual variables was calculated. In the first stage, the data envelopment analysis technique was used to obtain the technical efficiency of the units. Then, the technical efficiency logarithm obtained from the first stage was regressed on a set of contextual variables that affect the performance of companies. In the last stage, the managerial ability was extracted from the regression residue obtained from the second stage. Finally, knowing the managerial ability of each unit, a ranking was presented in this way. Finally, the results were analyzed.نگاشت تکانی و عمل گروه خارج قسمتی روی فضای کاهش یافته - K
https://jnrm.srbiau.ac.ir/article_21372.html
&lrm;In Hamiltonian systems&lrm;, &lrm;symmetries on the phase space are important&lrm;. &lrm;The symmetry of the Hamiltonian system is describable by the action of a Lie group on the phase space which leads to conservation laws on the system&lrm;. &lrm;The conserved quantities have been used by the founders of classical mechanics to eliminate degrees of freedom in the particular systems under investigation&lrm;. &lrm;These procedures are called reduction theory&lrm;. &lrm;The moment map is a mathematical expression of the concept of the conservation associated with the symmetries of a Hamiltonian system and is a fundamental tool for the study of symplectic reduction&lrm;. &lrm;In this theory&lrm;, &lrm;given the Hamiltonian action&lrm;, &lrm;the quotient of a level set of the moment map by the freely and properly action of an isotropy subgroup to form a new symplectic manifold&lrm;. &lrm;By considering the topological properties of the moment map and generalization of the codomain of these maps we are led to the definition of the $k$-moment maps&lrm;. &lrm;These maps originated in the study of invariant $k$-covariant tensor on a $G$-manifold $M$&lrm;. &lrm;In this paper; we prove that if $G$ has a closed normal subgroup $N$&lrm;, &lrm;and $M_{\nu}$ is reduced space by $k$-moment map $\mu$ in regular value $\nu$&lrm;, &lrm;then $M_{\nu}$ with quotient group action $G_{\nu}/N_{\nu}$ has a $k$-moment map&lrm;.Graded strongly prime submodules over graded commutative rings
https://jnrm.srbiau.ac.ir/article_21395.html
Let G be a group with identity e, R a graded ring and M a graded R-module. &lrm;A&lrm; proper graded submodule &lrm; N of &lrm; M &lrm;is said &lrm;&lrm;to &lrm;be&lrm; graded strongly &lrm;&lrm;prime,&lrm; if we have ((N+Rx_g):_RM)y_h&sube;N, then x_g&isin; N or y_h&isin;N &lrm;&lrm;for all x_g,y_h&isin;h(M)&lrm;&lrm;&lrm;&lrm;&lrm;. In this paper, we introduce the concept of graded strongly prime submodules as a generalization of graded prime submodules and we investigate some examples and basic properties of graded strongly prime submodules and state new results in this regard. In fact, in this article we show that the concept of graded strongly prime submodules is different from the concept of graded prime submodules. In continuing, we study the behavior of this structure module homomorphis, localization, quotient modules, Cartesian product. Finally, we state two kind of graded submodules of the amalgamation module along a graded ideal and investigate conditions under which they are graded strongly prime.A method for ranking Z-numbers
https://jnrm.srbiau.ac.ir/article_21397.html
Ranking generalized Z-numbers plays an important role in many applied models and, in particular, decision-making procedures. On the other hand, it can be seen that the definitive process of comparing a real number and a Z-number has not been done so far.
In this paper, we propose for the first time a method for comparing a real number with a Z-number with a degree of accuracy between zero and one. In fact, an index is proposed to rank a real number and a Z-number. Then, we extend this index to rank two Z-numbers based on the concept of comparison accuracy and center of gravity. We also provide the features of the proposed method. The advantage of our method is that it can accurately compare a real number and a Z-number as well as two Z-numbers. Also, a definition for definitive comparison is provided. Finally, in a few examples, the results obtained from our proposed method are compared with the results obtained from some existing ranking methods.Mathematical modeling of fluid flow and heat transfer over a stretching surface in a porous medium
https://jnrm.srbiau.ac.ir/article_21401.html
In the current research, fluid flow and heat transfer over a stretching surface in a porous medium were studied; And a mathematical model for the boundary layer equations of its stretching surface based on the Navier-Stokes equations was presented in the form of partial differential equations and boundary conditions; that these equations were changed in the form of ordinary differential equations with boundary conditions by changing certain variables; And with the shooting numerical method, the boundary conditions of the model were changed to the initial conditions. Finally, an analytical solution for the fluid flow velocity was obtained and to find the heat transfer, the energy equation was solved by using the numerical method of Ronge-Kutta.
Repeat (In the current research, fluid flow and heat transfer over a stretching surface in a porous medium were studied; And a mathematical model for the boundary layer equations of its stretching surface based on the Navier-Stokes equations was presented in the form of partial differential equations and boundary conditions; that these equations were changed in the form of ordinary differential equations with boundary conditions by changing certain variables; And with the shooting numerical method, the boundary conditions of the model were changed to the initial conditions. Finally, an analytical solution for the fluid flow velocity was obtained and to find the heat transfer, the energy equation was solved by using the numerical method of Ronge-Kutta.)Presenting a hybrid model based on the Internet of Things with an edge computing approach and drones with civilian applications for intelligent monitoring of industrial equipment performance (case study: oil pipelines)
https://jnrm.srbiau.ac.ir/article_21408.html
Today, in various industries, especially large industries, the monitoring of equipment performance is done by experts, and simultaneous and coordinated communication between different parts of an industrial environment is difficult due to the complexity of the operating environments and the multiplicity of equipment, and it causes large losses. Therefore, according to the extensive and innovative possibilities that today's technologies have provided to the industries, the control and monitoring of industrial equipment is done much more accurately and quickly by using smart devices in the context of the Internet of Things. In the topic of Internet of Things, cloud computing is mainly used to perform calculations on the internet platform, but with the emergence of "edge computing" computing technology to optimize cloud computing systems, researchers have become more inclined towards edge computing in recent years. Therefore, in this research, a hybrid model based on the Internet of Things with an edge computing approach and drones with civilian application was presented for intelligent monitoring of industrial equipment performance, which was investigated as a case study of oil pipelines. In this model, the performance of UAV for intelligent monitoring of oil pipelines was investigated in three stages. 1) Measuring the health of oil pipelines 2) UAV computing evacuation process 3) UAV local computing process. Since the final research model had two objectives, it was solved using two genetic methods with sparse sorting and the enhanced epsilon limit method using random numbers, and the genetic method with sparse sorting performed better; Because in problems with large dimensions, due to the complexity of the problem, the enhanced epsilon constraint method was not able to respond in a timely manner.On the skewness of graphs resulting from various graph operations
https://jnrm.srbiau.ac.ir/article_21429.html
We say a graph G=(V,E) is planar when we can draw it on the plane in such a way that its edges only intersect with each other at their ends. Also, the skewness of a graph G, denoted by sk(G), is equal to the minimum number of edges that by deleting them from G, the resulted graph is planar. In graph theory, this number is used as a parameter that measures how close a graph is to planarity. In this paper, the skewness of the join of graphs with paths and cycles is studied. At first, we calculate the skewness of the generalized fans and the n-fold wheels. Then, we prove some results concerning the skewness for the join of graphs with paths and use these results to determine completely the skewness of the join of complete graphs, star graphs and complete bipartite graphs with paths. At the end, some useful formulas are presented for calculating the skewness of vertex corona product and edge corona product of two graphs.Numerical investigation of a difference scheme for the multi-term time-space Caputo-Riesz fractional diffusion equations
https://jnrm.srbiau.ac.ir/article_21439.html
.Abstract: In this paper, we provide a difference scheme for solving multi-term the time-space fractional diffusion equations. In fractional diffusion equations, the time derivative is of the Caputo type and the space derivative is of the Riesz type. The aformentional equations are considered for one and two dimensional. In one dimentional the Riesz space derivative is of the order and in two dimentional the Riesz space derivative is of the orders and . Also, the multi-term Caputo derivative is of orders . We provided the stability and convergence analysis of the proposed difference scheme and investigate the stability conditions of the proposed difference scheme. We prove that the proposed difference scheme is stable conditionally. Furthermore, we show that difference scheme is convergent with order in time and order 2 in space. Finally, we give two numerical examples for one and two dimensional to illustrate the efficiency and applicability of the proposed difference scheme in the sense of accuracy and convergence ratio.Selection of ground motion prediction equations in the central of Iran using data envelopment analysis
https://jnrm.srbiau.ac.ir/article_21440.html
Data envelopment analysis technique is a very powerful tool to evaluate performance, taking into account various input and output indicators. In data envelopment analysis models, performance is obtained using different models. But one of the problems we face in practical matters is that many decision-making units are evaluated as efficient, and for all of them the same efficiency score is obtained. Therefore, theoretically, no distinction can be made between their performances. In this research, in order to solve this problem, the slack-based measure super-efficiency model has been used. One of the advantages of the DEA procedure is that it is able to determine the efficiency or inefficiency of each prediction equations. In this study, different ground-motion prediction equations of horizontal response spectra in the Central Iran seismotectonic province are evaluated using the DEA procedure. The appropriate prediction equations are selected based on the DEA efficiency scores. Moreover, the efficiency scores are used to rank and weight the appropriate equations.Inverse optimization for linear fractional programming problem with bounded decision variables
https://jnrm.srbiau.ac.ir/article_21441.html
Inverse optimization is a modern study in operation research topics that is taken into consideration of researchers in recent three decades. In fact, the purpose of inverse optimization is adjustment in the parameter values of a mathematical programming problem until a given feasible point of those problem arrives to optimality. If this is possible, then those parameter values be must found that require minimum adjustments. In this paper, a branch of the inverse optimization for linear fractional programming problem with bounded decision variables is investigated that have wide applications in industrial area in order to optimize production. To this end, the duality relations and complementary slackness conditions of linear programming problems are used. Next, the conditions for a feasible solution, in order to be optimized by adjusting parameter values of the objective function, are stated and discussed. Finally, a numerical example of the proposed method with complete analysis is presented.Improving the Efficiency of Automobile production lines by Using Network Data Envelopment Analysis and Modeling
https://jnrm.srbiau.ac.ir/article_21442.html
Improving the efficiency of production lines is of particular importance due to market demand and economic constraints. In this research, Network Data Envelopment Analysis with undesirable factors has been used as the main method to analyze automobile industry and evaluate the efficiency in 5 production lines. At first, the efficiency of the production lines is calculated.Then, the reference set as the most efficient DMUs making the models will be obtained and so,as the model, cleared which factors of inefficient unit is modeled based on the efficient unit to increase their efficiency. Finally, the necessary matters to change the amount of components are presented in the reference set. The results obtained represens that the unit of efficiency in production line E is more efficient than the other lines. The main reasons of the inefficiency in production lines are poor access rate of the defects reported to after-sales service network at the first quarter after car delivery, the access rate of customer protection, quality defects, repairs and rework, operator skill, inventory under repair and the average V1 + V2 for the supplier.