A New Approach to Solve Fully Fuzzy Linear Programming with Trapezoidal Numbers Using Conversion Functions

Document Type: research paper


Corresponding author.Department of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.


Recently, fuzzy linear programming problems have been considered by many. In the literature of fuzzy linear programming several models are offered and therefore some various methods have been suggested to solve these problems. One of the most important of these problems that recently has been considered; are Fully Fuzzy Linear Programming (FFLP), which all coefficients and variables of the problem are the same kind of fuzzy numbers. One of most common of them is the model in which all fuzzy parameters are discussed by triangle numbers. In this paper, we first define a fully fuzzy linear programming with trapezoidal numbers and then suggest a new method based on reducing the original problem to the problem with triangle number. Specially, a conversion function for converting two trapezoidal and triangular numbers to each other is offered. Finally, the mentioned method is illustrated by a numerical example.


Article Title [Persian]

یک رویکرد جدید به حل برنامه‌ریزی خطی تماماً فازی با اعداد ذوزنقه‌ای با استفاده از توابع تبدیل

Author [Persian]

  • سید هادی ناصری
دانشکده علوم ریاضی، دانشگاه مازندران، بابلسر، ایران
Abstract [Persian]

در این مقاله ما یک مدل شبکه عصبی برای تشخیص واحدهای تصمیم­گیرنده کارا در تحلیل پوششی داده­ها معرفی می­کنیم.
مدل شبکه عصبی پیشنهادی از یک مسئله بهینه­سازی نامقید حاصل می­شود. از دیدگاه تئوری نشان داده می­شود شبکه عصبی پیشنهادی دارای پایداری لیاپانف و همگرای سراسری می­باشد. مدل پیشنهادی تک لایه می­باشد. شبیه سازی نشان می­دهد مدل پیشنهادی قادر به تشخیص واحدهای کارا در تحلیل پوششی داده­ها می­باشد.

Keywords [Persian]

  • تابع تبدیل
  • برنامه‌ریزی خطی تماماً فازی
  • برنامه‌ریزی خطی چند هدفه
  • اعداد فازی مثلثی و ذوزنقه ای

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