Linear fractional programming problem with fuzzy relation inequality constraints
Publish place: 14th Iranian Conference on Fuzzy Systems
Publish Year: 1394
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
ICFUZZYS14_052
تاریخ نمایه سازی: 21 اردیبهشت 1397
Abstract:
In this paper, an optimization problem with a linear fractional objective function subject to a system of Fuzzy Relation Inequality (FRI) constraints is studied. We firstly determine the structure of its feasible domain and show its non-convexity. To do this, it is shown that feasible domain of the problem is completely determined by the maximum and quasi-minimal solutions of the feasible domain. We use FRI paths to find the quasi-minimal solutions. Then, the problem is equivalently converted to some traditional linear programming problems and they are solved by linear programming methods. With regard to their solutions, we can determine optimal solution of the original problem.
Keywords:
Linear fractional programming , Fuzzy relation inequality , Max-product composition , Fuzzy relation inequality path , Non-convex programming
Authors
Ali Abbasi Molai
Academic member, School of Mathematics and Computer Sciences, Damghan University, P.O.Box ۳۶۷۱۵-۳۶۴, Damghan, Iran,