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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 | ||
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آمار تعداد مشاهده مقاله: 206 تعداد دریافت فایل اصل مقاله: 183 |
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