The Symmetric Banzhaf Value for Fuzzy Games with a Coalition Structure

In this paper, a generalized form of the symmetric Banzhaf value for cooperative fuzzy games with a coalition structure is proposed. Three axiomatic systems of the symmetric Banzhaf value are given by extending crisp case. Furthermore, we study the symmetric Banzhaf values for two special kinds of fuzzy games, which are called fuzzy games with multilinear extension form and a coalition structure, and fuzzy games with Choquet integral form and a coalition structure, respectively.