Solutions for fuzzy matrix games

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Abstract

In this paper, we deal with two-person zero-sum games with fuzzy payoffs and fuzzy goals. We have presented two models for studying two-person zero-sum matrix games with fuzzy payoffs and fuzzy goals. We assume that each player has a fuzzy goal for each of the payoffs. We obtained that the fuzzy relation approach and the max–min solution are equivalent.

Keywords

Fuzzy goal
Fuzzy payoff matrix
Fuzzy relation
Fuzzy quantity
Nonlinear programming problem
Max–min solution
Relaxation procedure
Two-person zero-sum games

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