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LP Problems on the max - “Fuzzy Or” inequalities systems | ||
| Journal of Algorithms and Computation | ||
| دوره 52، شماره 2، اسفند 2020، صفحه 85-98 اصل مقاله (283.37 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22059/jac.2020.79249 | ||
| نویسندگان | ||
| A. Ghodousian* 1؛ Parmida Mirhashemi2 | ||
| 1University of Tehran, College of Engineering, Faculty of Engineering Science | ||
| 2University 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 “Fuzzy Or” 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 optimization؛ fuzzy compositions and fuzzy averaging operator | ||
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آمار تعداد مشاهده مقاله: 213 تعداد دریافت فایل اصل مقاله: 198 |
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