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.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.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.Optimizing 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.Ranking Supply Chain Disruptions Using Mix Method, Fuzzy Dematel & Meta Heuristic Algorithms
https://jnrm.srbiau.ac.ir/article_21827.html
Among the types of supply chain risks disruptions are risks that resulting from natural disasters, sanctions, transportation problems and equipment failure.
These risks can seriously disrupt the flow of materials, information and cash flow. This study proposes a hybrid model for managing, evaluating and rating disorders. In this research, by presenting a mathematical model with disruption parameter, supply chain disruption risk assessment is investigated. Initially, the relationships between the disturbances are formulated by fuzzy DEMATEL technique, and the DEMATEL output as a weighted parameter, and then the model is solved using meta-heuristic algorithms, genetic and local search methods. Finally, the disruptions are evaluated and ranked based on the costs incurred in the chain, and then the number of appropriate suppliers for each disruption is determined.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.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 efficientEfficiency 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.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.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.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.بررسی 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.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.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.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.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.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.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.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.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 .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. Some 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.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.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.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.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.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.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.
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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, 2014:18The 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.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.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.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.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.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.Evaluating Decision Making Units with Multi-Periodic Data Using DEA-R Models
https://jnrm.srbiau.ac.ir/article_21612.html
In measuring the efficiency of a set of units over a period of time covering multiple periods, models based on the standard DEA technique ignore the status of each unit in each period that causes misleading results. This paper develops DEA-R models in the presence of multi-periodic data in such a way that the proposed method can evaluate the overall efficiency with respect to the overall and periodic efficiencies of all units. By providing a lower bound on the weights derived from periods, the proposed method prioritizes the units for yielding valuable insights that aid decision makers to better understand the findings from a performance evaluation process. The contribution of this paper is fourfold: (1) the overall efficiency calculated from the proposed method depends on the unit performance of all units in all periods, (2) the proposed method determines the overall efficiency by imposing a lower bound obtained from all periods on the weights, (3) this method endowed with a high discriminatory power in differentiating the units which are evaluated as efficient in the existing multi-period models, (4) To elucidate the details of the proposed method, a comparison is made between the existing models in the literature and the proposed multi-period DEA-R method to measure the efficiency of 22 Taiwanese commercial banks for the period of 2009&ndash;2011.Double and Strong Double of Graphs and Their Topological Indices
https://jnrm.srbiau.ac.ir/article_21613.html
Let G be a simple connected graph with the vertex set V(G)={v_1,v_2,&hellip;,v_n }. The double graph of G is made from two distinct copies X={x_1,x_2,&hellip;,x_n } and Y={y_1,y_2,&hellip;,y_n } of G by adding the edges x_i y_j and x_j y_i for every edge v_i v_j of G and the strong double graph of G is obtained from the copies X and Y by joining (with an edge) the vertex x_i with the vertex y_i and the vertices adjacent with y_i for all 1&le;i&le;n. A topological index of G is a real number TI(G) with the property that for every graph H isomorphic to G, TI(H)=TI(G). Topological indices are considered as useful tools in predicting physico-chemical, biological, and pharmaceutical properties of chemical compounds and used in the development of quantitative structure-activity and quantitative structure-property relationships. In this paper, we study some distance-based topological indices such as the first and second status connectivity coindices, eccentric version of geometric-arithmetic index, eccentric version of atom-bond connectivity index, Szeged index, revised Szeged index, and weighted Szeged index of double graphs and strong double graphs.Designing a Model for Evaluating Performace Flexible Manufaturing Systems in Production Lines of Car Cylinder Block
https://jnrm.srbiau.ac.ir/article_21828.html
With the advent of technology in informatic era and due to environmental intricacy, many organizations, companies, institutions and industries encounter many challenges to improve their status-quo and enhance their performance. In order to maintain competition, many manufacturing units, particularly auto parts manufacturers, deal with the conflicts of reducing costs, evading waste of time, being aptly accountable towards customers and improving quality. To resolve these shortcomings, many manufacturers apply a system called Flexible Manufacturing System. This production system is mainly designed by a group of machines with flexible workshops to produce various parts with the objectives of diminishing the time from order to delivery of goods, increasing the number of the final product, rising the efficiency of machines, developing the ability to deliver goods, reducing the level of inventory, lessening the work in process and increasing quality. In the current research, through surveying the scientific and industrial foundations, comprehensive indicators that affect the performance of the flexible manufacturing system collected and thanks to the frequency of indicators and the direction of screening via the Delphi Method, effective indicators are identified and subsequently in order to evaluate the performance of generating units in Tiba car cylinder block, the mathematical method of Developed Data Envelopment Analysis is utilized and the Best-Worst Method is applied for prioritizing the efficient units .The findings illustrate appropriate investment, utilization of advanced machinery and equipment and integration between equipment as well would make flexible production systems more efficient.An approach to the calculation of the wavelet function using the Schrödinger equation for the harmonic oscillator
https://jnrm.srbiau.ac.ir/article_21867.html
The concept of probability and uncertainty has always been considered a fundamental principle in quantum physics. One of the most important results of this principle is the particle properties of radiation and the wave properties of matter. In quantum physics, the particle wave function can be explained using the mathematical formalism of the Fourier transform. Based on the qualitative observations that occur in the wave discussion, the inversion pattern of the widths is always established in the two spaces of position and momentum. Such a property is a property of all functions that are Fourier transforms of each other. One of the problems is that the Fourier transform determines whether there is a certain frequency in the wave or not and it does not give information about where this frequency is located in the wave. The problems facing the Fourier transform led to the creation of the Short-time Fourier transform, which also faces problems due to the Heisenberg uncertainty principle. In contrast to the short-time Fourier transform, there are other types of transforms known as wavelet transforms. Using the wavelet transform has the advantage over the Fourier transform that it reduces the uncertainty in the measurements to a smaller amount. In this paper, using the solutions of the Schr&ouml;dinger equation for the quantum oscillator, the translation operator and Hermitian polynomials, a method to obtain a type of wavelet is presented.REGULAR RIGHT SUBDIRECTLY IRREDUCIBLE SEMIGROUPS
https://jnrm.srbiau.ac.ir/article_21916.html
The main objective of this paper is characterizing regular right subdirectly irreducible semigroups. Our approach to deal with this issue is considering a semigroup $S$ as a right $S$-act over itself and unifying our previous results on the notion of right uniform semigroups to reach the main target of this work. As a result, regular commutative subdirectly irreducible semigroups are characterized. Meanwhile, we investigate conditions under which semigroups $S$ and $S^1$($S$ and $S^0$) are simultaneously right subdirectly irreducible or right irreducible or right uniform.
Considering Birkhoff&rsquo;s theorem, stating that any algebra A is isomorphic to a subdirect product of subdirectly irreducible algebras (which are homomorphic images of A), equivalently, any variety is determined by its subdirectly irreducible members [1, Theorem 9.6], structure of subdirectly irreducible semigroups (semi-
groups with least nondiagonal congruences) was a matter of interest in semigroup theory. The first investigation on such semigroups was pioneered by the efforts of Thierrin [15] and Schein [14]. Accordingly, investigating semigroups possessing least nondiagonal right congruences, termed right subdirectly irreducible semigroups, was initiated by Rankin et al. [12], who presented a general account on
such semigroups. This class of semigroups is indeed a subclass of subdirectly irreducible semigroups. Regarding that regular semigroups play an undeniable role in semigroup theory, in this paper we characterize regular right subdirectly irreducible semigroups.Line intersection graphs of ideals of a poset
https://jnrm.srbiau.ac.ir/article_21942.html
Let (P,&le;) be an atomic poset with the least element 0. The intersection graph of ideals of P denoted by G(P), is defined to be a graph whose vertices are all non-trivial ideals of P and two distinct vertices I and J are adjacent if and only if I&cap;J&ne;{0}. The complement of G(P) is denoted by &Gamma;(P) Also, the .line graph of a graph G is denoted by L(G), is a graph whose vertex set is equal to the edge set of G, and two distinct vertices of L(G) are adjacent if and only if their corresponding edges are incident in G In this paper, we .determine all posets P for which G(P) or &Gamma;(P) is a line graph. We prove that &Gamma;(P) is a line graph if and only if |Atom(P)|=1 or Atom(P)={a_1,a_2 } such that |{a_1 }^u\〖\{a_2}〗^u |, |{a_2 }^u\\{a_1 }^u |&le;2 or |Atom(P)|=3 with P=Atom(P)&cup;{0} or |Atom(P)|=3 and there exists natural number say n such that P= Atom(P)&cup;{0}&cup;{b_1,&hellip;,b_n }, and for every a&isin;Atom(P),{b_1,&hellip;,b_n }&sube;{a}^u.Determination of the Closest Step Targets for Inefficient Units by Considering Data Buoyancy (Case Study: Automotive Industrial Units)
https://jnrm.srbiau.ac.ir/article_22107.html
تعیین نزدیکترین اهداف یکی از موضوعات مهم در DEA میباشد که به عنوان ابزاری برای الگوبرداری از بهترین عملکرد واحدهای تصمیمگیری (DMU) بکار می رود. از آنجا که این اهداف مسیر هایی برای بهبود با تلاش کمتر به DMUها نشان میدهند تا به عملکرد مطلوب دست یابند، مورد توجه بسیاری از محققان قرار دارند. اما تعیین اهداف برای برخی واحد هایی که عملکرد ضعیفی دارند در عمل و دنیای واقعی اغلب در یک مرحله امکان پذیر نمیباشد از این رو برای حل این مساله روشهای مختلف الگویابی گام به گام پیشنهاد شده است اما بیشتر این روشها به دلیل نادیده گرفتن جنبههای عملی مختلف در تعیین اهداف واقع گرایانهتر، دارای کاستیهایی هستند. در مقاله حاضر، یک روش الگوبرداری چند مرحلهای وابسته به مدلهای DEA پیشنهاد شده است اولا با در نظر گرفتن شناوری داده ها در طول زمان ثانیا با تنظیم تعداد جهش در لایه ها، به مدیر این امکان را میدهد تا تنظیمات حداکثری در جهت واقع گرایانهتر کردن اهداف، اِعمال نماید و برنامه ریزیهای مختلف کوتاه مدت ، میان مدت و بلند مدت برای DMUهای ناکارا با توجه به شرایط، برای بهبود عملکرد آنها اتخاذ کند. روش پیشنهادی بر روی داده های حاصل از 20واحد صنعتی خودرو سازی در ایران پیاده سازی شده و نتایج گزارش شده اند.ترکیب الگوریتم ژنتیک و جستجوی محلی با استفاده از مقادیر فازی برای حل مسئله مکانیابی
https://jnrm.srbiau.ac.ir/article_22148.html
In this paper, fuzzy values in meta-heuristic method are used to locate the facility. This paper is written based on a combination of nature-inspired methods called genetic algorithm and local search method and has been tested with practical, applied optimization problems and modeling problems. In this paper and our proposed hybrid algorithms, by increasing the number of iterations of the genetic pattern algorithm, the possibility of using the neighborhood search method on the best people is gradually considered. To evaluate the performance of our proposed hybrid method, fuzzy coefficients have been applied to solve the location allocation problem, so that the problem hypotheses, fuzzy random variables, and the capacity of each center are considered infinite. We also do a comparative study of our algorithms for location and quadratic allocation testing problems. The results of numerical optimization show that the proposed method has a better and more desirable performance than similar methods.شناسایی سیاستهای مهم و مورد انتظار برای کاهش هزینه های موجودی زنجیره تامین حلقه بسته در شرکت شیشه و بلور اصفهان
https://jnrm.srbiau.ac.ir/article_22334.html
هدف از انجام این مطالعه شناسایی سیاستهای مهم و مورد انتظار برای کاهش هزینههای موجودی زنجیره تامین حلقه بسته است.. به منظور استخراج مدل مفهومی پژوهش متغیرهای مورد استفاد در مصاحبه با خبرگان مورد بررسی قرار گرفت. مدل مفهومی تحقیق برای یک مطالعه موردی از بخش شرکت شیشه و بلور اصفهان پیادهسازی شده است. مدل ارائه شده در این تحقیق و بررسی اعتبار آن وجود پویاییهای مفروض در مدل پیشنهادی را تائید نمود، این پویاییها در قالب حلقههای علت و معلولی چگونگی تأثیرگذاری متغیرهای مدل را بر یکدیگر در طول زمان نشان میدهد. مدل از سه حلقه تشکیل شده است که در حلقه اول متغیرهای موجودی کالا، کنترل تولید، سطح پایین خدمات برای حذف محصول، از بین بردن از سطح تا قبل، فرکانس دوبار پرکردن، سطح تولید، سطح پایین خدمات برای تولید و تقاضا قرار گرفته اند. در حلقه دوم مدل متغیرهای تولید، کنترل تولید، موجودی سرویسپذیر؛ کنترل تولید مجدد، کنترل موجودی قابل بازافت، موجودی قابل بازیابی، کنترل تولید و کنترل موجودی، قزاز گرفتهاند. در حلقه سوم مدل متغیرهایی چون رفتار مشتری، شاخص بازده، قرارداد خدمات با مشتری، بازده جریان، بازگشت انباشت، زمان برگشت، تاخیر، کسری نرخ بازده، بازده، مجموعه، کنترل بازگشت، تاخیر، زمان نگهداری، جریان تقاضا، جستجوی تقاضا، و موجودی سرویس قرار گرفته اندDouble skew cyclic codes over F_q + uF_q
https://jnrm.srbiau.ac.ir/article_22344.html
In this paper, we study the algebraic structure of double skew cyclic codes over F_q + uF_q and determine a set of generator polynomials for this family of codes. Also, we show that these codes will be classified into sixteen distinct types of submodules. Then, we introduce the separable double skew cyclic codes over F_q +uF_q and determine the minimal spanning set and dual of them. Finally, we present some examples
of separable double skew cyclic codes.
In this paper, we study the algebraic structure of double skew cyclic codes over F_q + uF_q and determine a set of generator polynomials for this family of codes. Also, we show that these codes will be classified into sixteen distinct types of submodules. Then, we introduce the separable double skew cyclic codes over F_q +uF_q and determine the minimal spanning set and dual of them. Finally, we present some examples
of separable double skew cyclic codes.Some note on the approximate Semi-Amenability of Banach Algebras
https://jnrm.srbiau.ac.ir/article_22345.html
Let A be a Banach algebra, and X a Banach A -bimodule. A bounded linear mapping D:A&rarr;X^*
is called approximately semi-amenable if for every 〖(&mu;〗_&alpha;) and (&zeta;_&alpha; ) in X^*, we have
D(a)=lim┬&alpha;〖(a.&zeta;_&alpha;-&mu;_&alpha;.a).〗
In this paper we investigate the approximate semi-amenability of Banach algebras which is not approximate amenable formerly. Also we show that all proper Segal algebras on a locally compact group G are approximate semi-amenable in general case. Whereas they are not approximate amenable, when G is a SIN group .
مراجع
[1] M. Alaghmandan, Approximate amenability of Segal algebras II, Canadian Math. Bull. 58 (2015), 3-6.
[2] R. Arens, The adjoint of bilinear operation, Proc. Amer. Math. Soc. 2 (1951), 839-848.
[3] H. G. Dales, Banach algebra and automatic continuity, Oxford (2000).
[4] H. G. Dales, R. J. Loy, and Y. Zhang, Approximate amenability for Banach sequence algebras, Studia Math. 177, (2006) 81-96.
[5] H. G. Dales, R. J. Loy, Approximate amenability of semigroup algebras and Segal algebras, Dissertaiones Mathematicae 474 (2010) 1-58.
[6] R. S. Doran, J. Wichman, Approximate Identities and Factorization in Banach Modules, Springer-Verlag (1979).
[7] F. Ghahramani, R. J. Loy, Generalized notions of amenability, J. Funct. Anal. 208 (2004).Solving the multi-criteria ranking problem of the branches of Sepah bank of Fars province with interval data by EDAS approach
https://jnrm.srbiau.ac.ir/article_22374.html
The aim of this paper is to evaluate and rank the branches of a financial institute (bank) in existence of multiple criteria. For this aim, the branches of Sepah bank in Fars province of Iran are considered. A multi-criteria decision making framework is used to perform the aimed ranking. In this framework, the suitable criteria are selected. Then the performance of each branch in each criterion in last years as an interval value is considered. The criteria are weighted by a mixed approach where the experts opinions and also interval Shannon entropy approach is used. Finally an interval EDAS multi-criteria approach is proposed to perform the aimed ranking. According to the proposed approach the weights of the criteria and also the ranking of the branches have been obtained. Furthermore, according the performed sensitivity analysis by changing the coefficients of the mixed approach, different values for the weights of the criteria are obtained where also these different weight values affect the obtained ranking and different rankings are obtained.Steps towards proving the Frobenius theorem without using character theory
https://jnrm.srbiau.ac.ir/article_22376.html
A celebrated application of the character theory of finite groups is the theorem of Frobenius on the groups that bear his name. The elegant proof of this theorem was obtained at the beginning of this century. It was then a challenge to find character-free proof of this result. There is no known character-free proof of Frobenius Theorem. Recently Corradi and Horvath have obtained some partial results in this direction. A group G is said to be a Frobenius group if there is a subgroup 1 &lt; H &lt; G such that H &cap; H^g = 1 for all g ∊ G - H. K is defined by ( G &ndash; U g ∊ G H^g ) U { 1 }. The theorem of Frobenius say K is a subgroup. The purpose of this article is to prove some stronger results. We hope that this article will stimulate more interest in this problem.Investigate the Structural Relationship between metacognitive beliefs, attitudes toward mathematics and mathematics progress in high school students, during the Covid 19 outbreak period
https://jnrm.srbiau.ac.ir/article_22377.html
The purpose of this research was to determine the metacognitive beliefs and academic progress of mathematics in online environments in the era of covid-19 through the mediating role of mathematical attitude in first secondary students of Manojan city in Kerman province.
The statistical population of the study consisted of all male high school students in manujan in the academic year 99-400 in manujan. From this population, 265 students were selected using multistage random sampling method. Instrument to collect research data in this study were metacognitive beliefs questionnaire, attitudes toward mathematics questionnaire and mathematics progress test. Fitness of The proposed model was examined through modeling of structural equation using AMOS software version 22 and SPSS software version 22 packages. The indirect effect were tested using the sobel test. Finding indicated that the paths were significant. Therefore, the hypotheses corresponding to these paths were confirmed. Finding also indicated the proposed model fit the data property.Examining the approximation of the second-order functional equations developed by using fuzzy p-normed space
https://jnrm.srbiau.ac.ir/article_22379.html
در ﭘﺎﺋﻴﺰ ﺳﺎل ٠۴٩١، اوﻻمدر سخنرانی معروف خود در باﺷﮕﺎه رﻳﺎضیات داﻧﺸﮕﺎه وﻳﺴﻨﺴﻴﻦ
ﺗﻌﺪادی از ﻣﺴﺎﺋﻞ ﺣﻞ ﻧﺸﺪه را اراﺋﻪ ﻧﻤﻮد. اﻳﻦ ﺳﺨﻨﺮاﻧﯽ ﻧﻘﻄﻪ آﻏﺎزی ﺑﺮ ﻧﻈﺮﻳﻪ ی ﭘﺎﻳﺪاری
ﻣﻌﺎدﻻت ﺗﺎﺑﻌﯽ ﮔﺮدﻳﺪ. اوﻻم ﻣﺴﺄﻟﻪ ی ﭘﺎﻳﺪاری را در ﺣﺎﻟﺘﯽ ﻛﻠﯽ ﺑیان ﻧﻤﻮد و در ﺣﺎﻟﺘﯽ ﺧﺎص، ﻣﺴﺄﻟﻪ ی
ﭘﺎﻳﺪاری ﻣﻌﺎدﻻت ﺗﺎﺑﻌﯽ را اﻳﻦ ﮔﻮﻧﻪﺑیانﻛﺮد: &ldquo;... ﻣﻔﻬﻮم ﭘﺎﻳﺪاری ﻗﻀﺎﻳﺎی رﻳﺎﺿﯽ از ﻧﻈﺮﮔﺎﻫﯽ ﻛﻠﯽ
اﻳﻦ ﮔﻮﻧﻪ ﻣﻄﺮح ﻣﯽ ﺷﻮد: اﮔﺮ ﻓﺮض ﻳﻚ ﻗﻀﻴﻪ ﺗﻘﺮﻳﺒﺎ ﺑﺮﻗﺮار ﺑﺎﺷﺪ، آﻳﺎ ﻣﯽ ﺗﻮان ادﻋﺎ ﻧﻤﻮد ﻛﻪ ﺣﮑﻢ
ﻗﻀﻴﻪ ﻧﻴﺰ ﺗﻘﺮﻳﺒﺎ ﺑﺮﻗﺮار ﺧﻮاﻫﺪ ﻣﺎﻧدبرای ﻳﻚ ﻣﻌﺎدﻟﻪ ی ﺗﺎﺑﻌﯽ ﻣﺴﺄﻟﻪ ی ﭘﺎﻳﺪاری اﻳﻨﮕﻮﻧﻪ ﻣﻄﺮح ﻣﯽ ﮔﺮدد: اﮔﺮ ﻣﻌﺎدﻟﻪ ی ﺗﺎﺑﻌﯽ ﻣﻔﺮوض
دارای ﺟﻮاب ﺗﻘﺮﻳﺒﯽ دﻟﺨﻮاﻫﯽ ﺑﺎﺷﺪ، آﻳﺎ اﻳﻦ ﺟﻮاب ﺗﻘﺮﻳﺒﯽ ﺑﻪ اﻧﺪازه ﻛﺎﻓﯽ ﺑﻪ ﻳﻚ ﺟﻮاب دﻗﻴﻖ از
ﻣﻌﺎدﻟﻪ ی ﺗﺎﺑﻌﯽ ﻣﻔﺮوض ﻧﺰدﻳﻚ ﺧﻮاﻫﺪ ﺑﻮد؟ ... اﮔﺮ ﺟﻮاب اﻳﻦ ﺳﺆال ﻣﺜﺒﺖ ﺑﺎﺷﺪ، ﻣﻌﺎدﻟﻪ ی ﺗﺎﺑعی ﻣﻔﺮوض را ﭘﺎﻳﺪار ﮔﻮﻳﻴﻢ.
٢
E ﺗﻘﺮﯾﺒﺎ ﺟﻤﻌﯽ ٢ E و ١ E : f ﺑﺮ روی ﻓﻀﺎﻫﺎی ﺑﺎﻧﺎخ ١ &rarr; E ٢ ٠ &gt; ϵ دﻟﺨﻮاه، اﮔﺮ ﻧﮕﺎﺷﺖ
ﺑﺎﺷﺪ، ﯾﻌﻨﯽ راﺑﻄﻪ
∥f(x + y) &minus; f(x) &minus; f(y)∥ &le; ϵ
E : A ﭼﻨﺎن ﻣﻮﺟﻮد اﺳﺖ ﮐﻪ راﺑﻄﻪ ی ١ &rarr; E ٢ ﺑﺮﻗﺮار ﺑﺎﺷﺪ، آﻧﮕﺎه ٠ &gt; k و ﻧﮕﺎﺷﺖ ﺟﻤﻌﯽ ﯾﮑﺘﺎی
∥A(x) &minus; f(x)∥ &le; ϵ
ﺑﺮﻗﺮار ﺧﻮاﻫﺪ ﺑﻮد. روﺷﯽ ﮐﻪ ﻫﺎﯾﺮز در اﺛﺒﺎت ﭘﺎﯾﺪاری ﻣﻌﺎدﻟﻪ ی ﺗﺎﺑﻌﯽ ﺟﻤﻌﯽ اﺳﺘﻔﺎده ﻧﻤﻮد را روش
ﻣﺴﺘﻘﯿﻢ ﻧﺎﻣﯿﺪه اﻧﺪ. اﮔﺮ ﭘﺎﯾﺪاری ﯾﮏ ﻣﻌﺎدﻟﻪ ی ﺗﺎﺑﻌﯽ ﻣﺸﺎﺑﻪ ﺑﺎ ﻗﻀﯿﻪ ﻫﺎﯾﺮز و ﺑﺎ اﺳﺘﻔﺎده از ϵ ﺛﺎﺑ.ﺖ
.ﮔﺮدد، آن را ﭘﺎﯾﺪاری ﻫﺎﯾﺮز- اوﻻم ﻣﯽ ﻧﺎﻣﻨﺪمدلسازی تصفیه پساب های صنعتی بر پایه شبکه عصبی مصنوعی و مدل آماری رگرسیون لجستیک
https://jnrm.srbiau.ac.ir/article_22422.html
One of the most important and fundamental factors in the life of living things is water. Therefore, water pollution is a major environmental problem and prevent water pollution and providing smart methods for water treatment is so important. Equipping engineering sciences with intelligent tools and artificial intelligence in the diagnose quality of wastewater treatments can reduce the errors of the methods. This paper presents a simple and hybrid neural network with statistical logistic regression method for modelling of the output quality of wastewater treatment. The proposed intelligent method plays an important role in the quality of wastewater treatment and can be used by artificial intelligence researchers and environmental engineers. Comparison of the predicted results by simple neural network and hybrid one showed that the efficiency of the hybrid model and it is suitable for our purpose. results of research proved that the new method has the highest efficiency with minimum errors.Some Results on the Charachteristic Polynomial of N-bounded Graphs
https://jnrm.srbiau.ac.ir/article_22557.html
A simple graph G is called N-bounded if it contains no isolated vertices and for any two nonadjacent vertices x, y there exists a vertex z such that the neighborhoods of x and y are contained in the closed neighborhood of z. In this paper, we study the adjacency spectrum of N-bounded graphs. First, the necessary and sufficient conditions, under which the join of N-bounded graphs is an N-bounded graph, are determined. Then it is proved that any regular N-bounded graph is a complete multipartite graph whose parts have the same size. The structure and the characteristic polynomials of the triangle-free N-bounded graphs and the square-free N-bounded graphs are determined, too. In other results, we prove that if a vertex out of an N-bounded graph be attached to a vertex with maximum degree, then the obtained graph is N-bounded. Moreover, if G is an N-bounded graph and v is a vertex with minimum degree of G, then the graph obtained from G by deleting v is an N-bounded graph, again. Finally, some suitable upper and lower bounds for the multiplicity of the eigenvalue zero in the adjacency matrix of N-bounded graphs are presented.A class of covering maps and semicovering maps based on the homotopy lifting property
https://jnrm.srbiau.ac.ir/article_22564.html
Assume that 𝑋 and X ̃ are topological spaces and p∶(X̃,x̃0)&rarr;(X,x) is a covering map. The map p has path lifting property if for every path 𝛼 in X, there exists a lifting (&alpha; ) ̃ ∶ (I,0) &rarr; (X̃,x̃0) of 𝛼 such that p∘ &alpha; ̃= &alpha;. Also, the map p has unique path lifting property if for every path 𝛼 in X, there is at most one lifting (&alpha; ) ̃ ∶ (I,0) &rarr; (X̃,x̃0) of 𝛼.
Recently, Brazas extend the concept of covering map to semicovering map. Kowkabi, Mashayekhy and torabi proved that, a semicovering map is a local homeomorphism with unique path lifting and path lifting properties.
Since every covering or semicovering map 𝑝∶ X ̃&rarr;𝑋 has homotopy lifting property, every path 𝛼 in 𝑋̃ such that [p∘&alpha;] = 1 i.e. p∘&alpha; is null, 𝛼 is a null homotopic loop. This fact motivated us to explore the (G,H)-covering map and (G,H)-semicovering map. In this paper, we introduce the (G,H)-covering map and (G,H)-semicovering map. We note that a (G,H)-covering map is a covering map, so it has the path lifting property, the unique path lifting, the homotopy lifting property and etc.. Also we investigate the properties of (G,H)-covering map and (G,H)-semicovering map. For example, if p∶(X̃,x̃0)&rarr;(X,x0) is a (G,H)-covering map or (G,H)-semicovering map and 𝛼 is a path in 𝑋̃ with &alpha;(0)=x̃0 and &alpha; (1)=x̃, then p∶(X̃,x̃0)&rarr;(X,x0) is a (&alpha;^(-1) G&alpha;,(p∘&alpha;)^(-1) H(p∘&alpha;))-covering map or (&alpha;^(-1) G&alpha;,(p∘&alpha;)^(-1) H(p∘&alpha;))-semicovering map.A Terminal Fuzzy Sliding Mode Control for Nonlinear leader-follower Multi-agent Systems
https://jnrm.srbiau.ac.ir/article_22565.html
In this article, we present a terminal fuzzy sliding mode controller (TFSMC) for second order nonlinear uncertain leader follower multi agent systems. First, we propose a terminal sliding mode controller that is not only fast and non-singular, but also has a finite time condition in the reaching and sliding phases. Then, in order to eliminate chattering phenomena, a fuzzy sliding mode method is proposed and the stability of the closed-loop system in the lyapunove sense has been guaranteed. According to the communication graph topology and the Lyapunov stability condition, the proposed fuzzy terminal sliding mode controller satisfies the consensus condition in second-order nonlinear multiagent leader-follower systems. One of the main advantages of the controller presented in this article is that even if the initial error value is large, the system will reach equilibrium in a short period of time on the sliding surface. Finally, the advantages of the proposed theoretical approach are illustrated by the simulation results.Comparison of the combined methods PCA-DEA (principal component analysis - data envelopment analysis) and FA-DEA (factor analysis - data envelopment analysis) in the presence of negative data
https://jnrm.srbiau.ac.ir/article_22772.html
One of the significant issues with DEA occurs when there is the extensive number of inputs and outputs compared to the number of DMUs. This situation leads to attribute one to the efficiency score of a large number of units, as a result, the ranking power of the DEA becomes further moderated. By combining dimension reduction methods such as principal component analysis (PCA) and factor analysis (FA) with data envelopment analysis (DEA), the mentioned problem can be solved. In this paper, the effectiveness of two dimension reduction methods, named PCA and FA, combined with DEA has been compared. The superiority criterion of these two methods is based on the reduction in the number of efficient units. By implementing both integrated methods on the data of companies in the Iranian stock market, the effectiveness of these two methods have been compared. Since the data available in the stock market include both positive and negative values, the integrated methods presented in this research are able to determine efficiency for units with both positive/negative data in their input and output indices. The number of efficient units determined by both methods are not different significantly. Both integrated methods are successful in reducing the efficient units, so another index called (MSE) is used to determine the superiority of the methods. This index shows the difference between efficiency scores calculated by integrated methods and efficiency scores calculated by DEA (SBM). This index for FA-DEA is less than for PCA-DEA, which indicates the superiority of FA-DEA.On the movement of elements of finite permutation dihedral groups
https://jnrm.srbiau.ac.ir/article_22773.html
فرض کنید G یک گروه جایگشتی روی یک مجموعه Ω باشد به طوری که هیچ نقطه ثابتی در Ω نداشته باشد و فرض کنید m یک عدد صحیح مثبت باشد. اگر برای هر زیرمجموعه &Gamma; از Ω و هر g از G اندازههای |&Gamma;g &ndash; &Gamma;| کراندار باشند، آنگاه حرکت &Gamma; و حرکت g به ترتیب با نمادهای move(&Gamma;) و move(g) نشان داده شده و به صورت زیر تعریف میشوند:
move(&Gamma;):=max{ |&Gamma;g &ndash; &Gamma;| |g&isin;G} و move(g):=max{ |&Gamma;g &ndash; &Gamma;| | &Gamma;&sube;Ω}. اگر برای هر زیرمجموعه &Gamma; از Ω داشته باشیم move(&Gamma;)&le;m، آنگاه G با حرکت کراندار m نامیده شده و حرکت G به صورت زیر تعریف میشود: move(&Gamma;):=max{ |&Gamma;g &ndash; &Gamma;| |&Gamma;&sube;Ω, g&isin;G}. در این مقاله به بررسی حرکت اعضای گروه دووجهی از مرتبه n که با نماد Dn نشان داده میشود، میپردازیم. برای این کار ابتدا نشان میدهیم که این گروه روی مجموعه {1,...,n} به صورت انتقالی عمل میکند. سپس ساختار دوری اعضای این گروهها و حرکت این اعضا تعیین میشوند. در انتها، حالتی که n یک عدد اول فرد باشد بررسی میشود و نشان میدهیم که حرکت تمامی عناصر گروه دووجهی در این حالت یکسان میباشد.Semi-Total Domination in Graphs
https://jnrm.srbiau.ac.ir/article_22774.html
Abstract: A semi-total Roman dominating function on a graph G = (V,E) is a function f : V &rarr; {0, 1, 2} satisfying the following:
&bull; Every vertex v for which f(v) = 0 is adjacent to at least one vertex w for which f(w) = 2
&bull; If x is an isolated vertex in the subgraph induced by the set of vertices labeled with 1 and 2, then f(x) = 2.
The weight of a semi-total Roman dominating function is the value w(f)=f(V)=&sum;_(u&isin;V)▒〖f(u).〗
The minimum weight of a semi-total Roman dominating function on a graph G = (V,E) is called the semi-total Roman domination number of G. We introduce the semi-total Roman domination number of graphs in this article ,and being the study of its combinatorial and computational properties. We find interest results I the end.
Keywords: Domination, Domination numbers , Roman Domination number , semi-total Roman dominating number, total Roman domination numberمطالعۀ ترکیبیاتی همه گیری کووید-19 با استفاده از ساختارهای درختی
https://jnrm.srbiau.ac.ir/article_22775.html
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هدف این مقاله، مدلبندی ترکیبیاتی نحوۀ شیوع همهگیری کووید-19 است. با استفاده از یک ساختار درختی که مطابق با هندسه
کووید-19 است چندین کمیت مرتبط با شیوع این ویروس بررسی میشوند. برای کمیتهای مطرح شده، میانگین، واریانس، تابع مولد احتمال و توزیع حدی ارائه میشوند. به دلیل وابستگی متغیرهای تصادفی تحت بررسی، نرمال بودنِ مجانبی متغیرهای تصادفی از طریق قضیه شبهتوان هوانگ ثابت میشود
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https://jnrm.srbiau.ac.ir/article_22776.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.
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https://jnrm.srbiau.ac.ir/article_22830.html
We can express the displacement and movement of the earth dams during the earthquake by Sturm-Liouville equations. Analytical and numerical methods are useful tools for solving such problems. In the present study the equation of motion and displacement of the earth dam is considered when it is applied the pressure as &tau;_yz=G(&part;u/&part;z+&part;u/&part;t) and it is given the solution for the equation derived from this displacement that is in the pencil form by the numerical method (variational iteration method). We can express the displacement and movement of the earth dams during the earthquake by Sturm-Liouville equations. Analytical and numerical methods are useful tools for solving such problems. In the present study the equation of motion and displacement of the earth dam is considered when it is applied the pressure as &tau;_yz=G(&part;u/&part;z+&part;u/&part;t) and it is given the solution for the equation derived from this displacement that is in the pencil form by the numerical method (variational iteration method).On extension of an inequality including Arithmetic and Logarithmic means via generalized Hermite-Hadamard inequality
https://jnrm.srbiau.ac.ir/article_22831.html
We present an extension version of the well-known Hermite-Hadamard inequality by using the definition of the mapping L(t) and by using the convexity of considered function. This inequality has several applications in mathematical inequalities which in special case gives a generalization for a mean type inequality including Arithmetic mean and generalized Logarithmic mean, which is known in the field of mathematical means with many applications. In fact we extended an Arithmetic-generalized Logarithmic mean type inequality with a natural number as the power to a generalized real number type inequality, by the use of results obtained in this work. Also some new properties related to the mapping L(t) are investigated. Furthermore, at last, some estimation type inequalities for the case that considered function is M-Lipschitz and the case that is bounded are given. In fact by using the definition of the mapping L(t) we obtain an estimation type results for the difference of Arithmetic mean and generalized Logarithmic mean.Aggregating ranking into one ranking under uncertainty: a robust model in data envelopment analysis
https://jnrm.srbiau.ac.ir/article_22832.html
The importance of evaluating the efficiency of organizations and determining the position of the units covered by the organization and its impact on the decisions and management of the organization is quite clear. One of the most important performance appraisal methods for organizations is data envelopment analysis.
Data envelopment analysis is a non-parametric method that evaluates and ranks decision-making units in the organization based on input and output values. Due to the uncertainty of the decision space, the input and output values in real-world problems are uncertain. So far, many studies have been conducted in this field to control the uncertainty in the data. Robust optimization is a way to control uncertain parameters in problems. This paper presents a robust data envelopment analysis model to aggregate all rankings into one uncertain ranking. The proposed model in this paper is compared with the optimistic-pessimistic model. The results show that the robust model is more flexible than the optimistic-pessimistic model. The robust model also covers all the optimistic-pessimistic model responses.expanding the two-stage network series model with independent input and output in each stage and solving it by minimizing the loss in the network and using it in improving the supply chain and presenting the modified model
https://jnrm.srbiau.ac.ir/article_22833.html
Calculating efficiency in network models is one of the most important developments that happened in the concept of DEA.
Data envelopment analysis was originally developed to calculate the performance of DMUs as a unit, regardless of what happens in the internal structure of those units. In other words, the system acts as a black box. The effect of the output and what correlation exists between them and what happens in the path between the input and the final output were not mentioned.
This issue was challenged and network DEA models were formed. Solving these models is one of the main issues in the field of efficiency calculation. In this study, the network models in the literature of this subject are examined and the solutions that have been presented for it are examined.
We investigated the fully expanded model of a network with 2 stages and independent input and output in each stage by minimizing the loss in each stage and presented a new solution method for this problem. This model provides a comprehensive solution for networks that contain There are many different steps and inputs and outputs. This model allows the monitoring of network steps along with the entire network.
At the end, we examine the presented model in a real supply chain and improve the final model by focusing on the inputs and outputs and their role on the supply chain process and compare the results with the original modelارائه مدل بهینه ریاضی مبتنی بر نمایش تُنُک در جهت بهبود بازسازی تصاویر
https://jnrm.srbiau.ac.ir/article_22843.html
In recent years, signal and image processing with the help of sparse reconstruction models has been highly regarded by researchers and has been successful in a wide range of industrial, medical, military, security systems, etc. applications. Providing a simple and compact description of the signal in terms of a linear combination of a small number of elements of a set called a dictionary consisting of basic signals is the basic idea of sparse reconstruction models. One of the basic issues in these models is the reconstruction of the sparse signal from its noisy version, which is very challenging. The aim of this article is to present an optimal mathematical model based on sparse representation in order to improve image reconstruction, which uses smoothed L0 norm instead of L0 norm and transforms the quadratic subproblem into an optimization problem with equality constraints and transfers the inequality constraint to the objective function. As a result, it creates a new approach to solve sub-problems in less time based on estimating a more accurate solution and with a higher convergence speed. Examining the experiments shows that the proposed method has a very favorable performance compared to sparse image reconstruction algorithms and has a high success rate in image reconstruction.