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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 | ||
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آمار تعداد مشاهده مقاله: 63 تعداد دریافت فایل اصل مقاله: 88 |
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