In this article, we introduce a model of bi-matrix games based on crisp parametric payoffs\nvia utilizing the method of interval value function. Then, we get that equilibrium solutions of\nbi-matrix games on the basis of fuzzy payoffs and equilibrium solutions of the game model are of\nequal value. Furthermore, it is concluded that equilibrium solutions of the game can be converted to\noptimal solutions of discrete nonlinear optimization problems with parameters. Lastly, the proposed\nmethodology is illustrated by an example.
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