Solving LP Models for Multi-objective Matrix Games with I-Fuzzy Goals

The principal objective of this work is to obtain the optimal strategies for a multi-objective two-person zero-sum matrix game with intuitionistic fuzzy goals (MOMGIFG). In this problem, the fuzziness in aspiration levels of both players are characterized by intuitionistic fuzzy sets. The developed linear models are solved in maxmin–minmax way using linear membership function (mf) and non-membership function (nmf). A numerical example is incorporated to demonstrate the proposed solution procedure.

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