Linear optimization constrained by fuzzy inequalities defined by Max-Min averaging operator

	Linear optimization constrained by fuzzy inequalities defined by Max-Min averaging operator
Journal of Algorithms and Computation
دوره 52، شماره 2، اسفند 2020، صفحه 13-28 اصل مقاله (271.32 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22059/jac.2020.79080
نویسندگان
A. Ghodousian^* ؛ Sara Falahatkar
University of Tehran, College of Engineering, Faculty of Engineering Science
چکیده
In this paper, optimization of a linear objective function with fuzzy relational inequality constraints is investigated whereby the feasible region is formed as the intersection of two inequality fuzzy systems and \textquotedblleft Fuzzy Max-Min\textquotedblright \ averaging operator is considered as fuzzy composition. It is shown that a lower bound is always attainable for the optimal objective value. Also, it is proved that the optimal solution of the problem is always resulted from the unique maximum solution and a minimal solution of the feasible region. An algorithm is presented to solve the problem and an example is described to illustrate the algorithm.
کلیدواژه‌ها
Fuzzy relation؛ fuzzy relational inequality؛ linear programming؛ fuzzy compositions and fuzzy averaging operator graph

آمار تعداد مشاهده مقاله: 244 تعداد دریافت فایل اصل مقاله: 261

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