Abstract

In this paper, the egalitarian solution for convex cooperative fuzzy games is introduced. The classical Dutta–Ray algorithm for finding the constrained egalitarian solution for convex crisp games is adjusted to provide the egalitarian solution of a convex fuzzy game. For arbitrary fuzzy games, the equal division core is introduced. It turns out that both the equal division core and the egalitarian solution of a convex fuzzy game coincide with the corresponding equal division core and the constrained egalitarian solution, respectively, of the related crisp game.

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