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On the resolution of LP-FRE defined by the convex combination operator | ||
| Journal of Algorithms and Computation | ||
| دوره 54، شماره 1، شهریور 2022، صفحه 175-186 اصل مقاله (298.2 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22059/jac.2022.88806 | ||
| نویسندگان | ||
| Amin Ghodousian* 1؛ parsa hadadian2 | ||
| 1Faculty of Engineering Science, College of Engineering, University of Tehran, P.O.Box 11365-4563, Tehran, Iran. | ||
| 2Department of Engineering Science, College of Engineering, University of Tehran | ||
| چکیده | ||
| In this paper, a linear programming problem is investigated in which the feasible region is formed as a special type of fuzzy relational equalities (FRE). In this type of FRE, fuzzy composition is considered as the convex combination operator. It is proved that the feasible region of the problem can be written by one maximum solution and a finite number of minimal solutions. Some theoretical properties of the feasible region are derived and some necessary and sufficient conditions are also presented to determine the feasibility of the problem. Based on some structural properties of the problem, an algorithm is presented to find the optimal solutions and finally, an example is described to illustrate the algorithm. | ||
| کلیدواژه‌ها | ||
| Fuzzy relational equalities؛ mean operators؛ fuzzy compositions؛ linear programming | ||
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آمار تعداد مشاهده مقاله: 162 تعداد دریافت فایل اصل مقاله: 152 |
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