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Abstract
ABSTRACT The intuitionistic fuzzy set (I-fuzzy set) plays an effective role in game theory when players face ‘neither this nor that’ situation to set their goals. This study presents a maxmin–minmax solution to multi-objective two person zero-sum matrix games with I-fuzzy goals. In this article, a class of piecewise linear membership and non-membership functions for I-fuzzy goals is constructed. These functions are more effective in real games because marginal rate of increase (decrease) of such membership functions (non-membership functions) is different in different intervals of tolerance errors. Finally, one numerical example is given to examine the effectiveness and advantages of the proposed results.
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