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A satisfactory strategy of multiobjective two person matrix games with fuzzy payoffs | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 3، دوره 13، شماره 4، پاییز 2016، صفحه 17-33 اصل مقاله (434 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2016.2593 | ||
نویسندگان | ||
Hamid Bigdeli* ؛ Hassan Hassanpour | ||
Department of Mathematics, University of Birjand, Birjand, I.R. Iran | ||
چکیده | ||
The multiobjective two person matrix game problem with fuzzy payoffs is considered in this paper. It is assumed that fuzzy payoffs are triangular fuzzy numbers. The problem is converted to several multiobjective matrix game problems with interval payoffs by using the $alpha$-cuts of fuzzy payoffs. By solving these problems some $alpha$-Pareto optimal strategies with some interval outcomes are obtained. An interactive algorithm is presented to obtain a satisfactory strategy of players. Validity and applicability of the method is illustrated by a practical example. | ||
کلیدواژهها | ||
Fuzzy multiobjective game؛ Interval multiobjective programming؛ Satisfactory strategy؛ Security level | ||
مراجع | ||
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