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Ghodousian, Amin, Sepehri Rad, Babak, qodousian, oveys. (1401). An algorithm to Solve the Linear Programming Problem Constrained with the Harmonic–Fuzzy Relational Equalities. , 54(2), 123-135. doi: 10.22059/jac.2022.90817
Amin Ghodousian; Babak Sepehri Rad; oveys qodousian. "An algorithm to Solve the Linear Programming Problem Constrained with the Harmonic–Fuzzy Relational Equalities". , 54, 2, 1401, 123-135. doi: 10.22059/jac.2022.90817
Ghodousian, Amin, Sepehri Rad, Babak, qodousian, oveys. (1401). 'An algorithm to Solve the Linear Programming Problem Constrained with the Harmonic–Fuzzy Relational Equalities', , 54(2), pp. 123-135. doi: 10.22059/jac.2022.90817
Ghodousian, Amin, Sepehri Rad, Babak, qodousian, oveys. An algorithm to Solve the Linear Programming Problem Constrained with the Harmonic–Fuzzy Relational Equalities. , 1401; 54(2): 123-135. doi: 10.22059/jac.2022.90817

An algorithm to Solve the Linear Programming Problem Constrained with the Harmonic–Fuzzy Relational Equalities

Journal of Algorithms and Computation
دوره 54، شماره 2، اسفند 2022، صفحه 123-135    اصل مقاله (424.07 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22059/jac.2022.90817
نویسندگان
Amin Ghodousian* 1؛ Babak Sepehri Rad2؛ oveys qodousian3
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, Tehran, Iran.
3Assistant Professor in Structural Engineering, Department of Engineering, Takestan Branch, Islamic Azad University, Takestan, Iran.
چکیده
In this paper, a linear programming problem is investigated in which the feasible region is formed as the intersection of fuzzy relational equalities and the harmonic mean operator is considered as fuzzy composition. Theoretical properties of the feasible region are derived. It is proved that the feasible solution set is comprised of one maximum solution and a finite number of minimal solutions. Furthermore, some necessary and sufficient conditions are additionally presented to determine the feasibility of the problem. Moreover, an algorithm is presented to find the optimal solutions of the problem and finally, an example is described to illustrate the algorithm.
کلیدواژه‌ها
fuzzy relational equalities؛ mean operators؛ harmonic mean؛ fuzzy compositions؛ linear programming
آمار
تعداد مشاهده مقاله: 106
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