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Fuzzy matrix games via a fuzzy relation approach

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Abstract

A generalized model for a two person zero sum matrix game with fuzzy goals and fuzzy payoffs via fuzzy relation approach is introduced, and it is shown to be equivalent to two semi-infinite optimization problems. Further, in certain special cases, it is observed that the two semi-infinite optimization problems reduce to (finite) linear programming problems which are dual to each other either in the fuzzy sense or in the crisp sense.

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Vijay, V., Mehra, A., Chandra, S. et al. Fuzzy matrix games via a fuzzy relation approach. Fuzzy Optim Decis Making 6, 299–314 (2007). https://doi.org/10.1007/s10700-007-9015-9

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