Solving Fully Intuitionistic Fuzzy Linear Programming Problem with Unrestricted Variables

Publish Year: 1394
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:

ICFUZZYS14_033

تاریخ نمایه سازی: 21 اردیبهشت 1397

Abstract:

A fully intuitionistic fuzzy linear programming problem with trapezoidal intuitionistic fuzzy parameters is considered. Using arithmetic operators and Nehi‘s ranking for intuitionistic fuzzy numbers, the problem is converted to its equivalent multi-objective linear programming problem and then it is solved. By a theorem it is shown that the optimal solution of multi-objective linear programming problem can be considered as an optimal solution of the fully intuitionistic fuzzy linear programming problem.

Keywords:

Intuitionistic fuzzy linear programming problem , Intuitionistic Fuzzy trapezoidal number , Ranking function

Authors

Fateme Kouchakinejad

Ph. D. student, Department of Mathematics, Graduate University of Advanced Technology, Kerman, Iran,

Esmaile Khorram

Academic member, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, Iran,

Mashaalah Mashinchi

Academic member, Department of Statistics, Faculty of Mathematics and Computer Sciences, Shahid Bahonar University, Kerman, Iran,