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. (1400). On the resolution of LP-FRE defined by the convex combination operator. , (), 1-12. doi: 10.22059/jac.2022.85500
. "On the resolution of LP-FRE defined by the convex combination operator". , , , 1400, 1-12. doi: 10.22059/jac.2022.85500
. (1400). 'On the resolution of LP-FRE defined by the convex combination operator', , (), pp. 1-12. doi: 10.22059/jac.2022.85500
. On the resolution of LP-FRE defined by the convex combination operator. , 1400; (): 1-12. doi: 10.22059/jac.2022.85500

On the resolution of LP-FRE defined by the convex combination operator

Journal of Algorithms and Computation
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 25 دی 1400    اصل مقاله (273.11 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22059/jac.2022.85500
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
آمار
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