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Ghodousian, Amin, Zal, Sara. (1400). A fast algorithm for the linear programming problem constrained with the Weighted power mean -- Fuzzy Relational Equalities (WPM-FRE). , 53(1), 135-148. doi: 10.22059/jac.2021.81633
Amin Ghodousian; Sara Zal. "A fast algorithm for the linear programming problem constrained with the Weighted power mean -- Fuzzy Relational Equalities (WPM-FRE)". , 53, 1, 1400, 135-148. doi: 10.22059/jac.2021.81633
Ghodousian, Amin, Zal, Sara. (1400). 'A fast algorithm for the linear programming problem constrained with the Weighted power mean -- Fuzzy Relational Equalities (WPM-FRE)', , 53(1), pp. 135-148. doi: 10.22059/jac.2021.81633
Ghodousian, Amin, Zal, Sara. A fast algorithm for the linear programming problem constrained with the Weighted power mean -- Fuzzy Relational Equalities (WPM-FRE). , 1400; 53(1): 135-148. doi: 10.22059/jac.2021.81633

A fast algorithm for the linear programming problem constrained with the Weighted power mean -- Fuzzy Relational Equalities (WPM-FRE)

Journal of Algorithms and Computation
دوره 53، شماره 1، شهریور 2021، صفحه 135-148    اصل مقاله (175.3 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22059/jac.2021.81633
نویسندگان
Amin Ghodousian* 1؛ Sara Zal2
1Faculty of Engineering Science, College of Engineering, University of Tehran, P.O.Box 11365-4563, Tehran, Iran.
2University of Tehran, Department of Algorithms and Computation
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 weighted power mean operator (WPM). 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. Moreover, two procedures are proposed for simplifying 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؛ weighted power mean؛ fuzzy compositions؛ linear programming
آمار
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