Solving multi-objective matrix games with fuzzy payoffs through the lower limit of the possibility degree. (English) Zbl 1425.91070
Summary: In this article, we put forward the multi-objective matrix game model based on fuzzy payoffs. In order to solve the game model, we first discuss the relationship of two fuzzy numbers via the lower limit \(-\frac{1}{2}\) of the possibility degree. Then, utilizing this relationship, we conclude that the equilibrium solution of this game model and the optimal solution of multicriteria linear optimization problems are of equal value. Finally, to illustrate the effectiveness and correctness of the obtained model, an example is provided.
MSC:
| 91A40 | Other game-theoretic models |
| 90C70 | Fuzzy and other nonstochastic uncertainty mathematical programming |
Keywords:
multi-objective game; possibility degree; equilibrium solution; multicriteria linear optimizationReferences:
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