Abstract:

In this paper, we research the solving method and properties of  tau-value for fuzzy cooperative games. Using the multilinear extensive method, we define the tau-value for fuzzy cooperative games, prove its existence, uniqueness and other properties, and deduce the computational formulae of the  tau-value for convex fuzzy cooperative games. The research result shows that the  tau-value for the fuzzy cooperative games with multilinear extension form is an extension of the  tau-value for crisp cooperative games. Especially, for the convex fuzzy cooperative games, the computational process of the  tau-value can be simplified.

Key words: fuzzy cooperative game, multilinear extension, tau-value, game theory, fuzzy set