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A new approach for solving constrained matrix games with fuzzy constraints and fuzzy payoffs | ||
| Journal of Mathematical Modeling | ||
| مقاله 1، دوره 11، شماره 3، دی 2023، صفحه 425-439 اصل مقاله (202.22 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2023.23207.2072 | ||
| نویسندگان | ||
| Sabiha Djebara1؛ Farida Achemine* 2؛ Ouiza Zerdani1 | ||
| 1Laboratoire de Recherche Operationnelle et de Mathematiques de la Decision, Faculte des sciences,Universite Mouloud Mammeri de Tizi Ouzou, 15000 Tizi-Ouzou, Algeria | ||
| 2Laboratoire de Mathematiques Pures et Appliquees, Faculte des sciences, Universite Mouloud Mammeri de Tizi Ouzou, 15000 Tizi-Ouzou, Algeria | ||
| چکیده | ||
| The main purpose of this study is to construct a new approach for solving a constrained matrix game where the payoffs and the constraints are LR-fuzzy numbers. The method that we propose here is based on chance constraints and on the concept of a comparison of fuzzy numbers. First, we formulate the fuzzy constraints of each player as chance constraints with respect to the possibility measure. According to a ranking function $\mathcal{R}$, a crisp constrained matrix game is obtained. Then, we introduce the concept of $\mathcal{R}$-saddle point equilibrium. Using results on ordering fuzzy numbers, sufficient existence conditions of this concept are provided. The problem of computing this solution is reduced to a pair of primal-dual linear programs. To illustrate the proposed method, an example of the market competition game is given. | ||
| کلیدواژه‌ها | ||
| Chance-constraints؛ constrained matrix games؛ fuzzy games؛ linear programming؛ saddle point equilibrium | ||
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آمار تعداد مشاهده مقاله: 766 تعداد دریافت فایل اصل مقاله: 752 |
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