A Novel Approach for Solving Linear Programming Problems with Intuitionistic Fuzzy Numbers
سال انتشار: 1402
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 109
فایل این مقاله در 15 صفحه با فرمت PDF قابل دریافت می باشد
- صدور گواهی نمایه سازی
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_FOMJ-4-3_001
تاریخ نمایه سازی: 7 آبان 1402
چکیده مقاله:
The literature of linear programming problem with trapezoidal intuitionistic parameters is full of solution approaches which are mainly ranking function based. Use of ranking function in the solution approaches could be a weakness as different ranking functions mag give different solutions. This paper, proposes a new solution approach without any ranking function for linear programming problem with trapezoidal intuitionistic parameters. For this aim, the trapezoidal intuitionistic fuzzy objective function is converted to a multi-objective function, and consequently, the problem is converted to a multi-objective crisp problem. As another contribution, in order to solve the obtained multi-objective problem for its efficient solutions, a new multi-objective optimization approach was developed and suited to the obtained multi-objective problem. The computational experiments of the study show the superiority of the proposed multi-objective optimization approach over the multi-objective optimization approaches of the literature.
کلیدواژه ها:
linear programming ، Trapezoidal intuitionistic fuzzy number ، Multi-Objective Optimization ، Fuzzy programming approach
نویسندگان
Ali Mahmoodirad
Department of Mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran