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.
Fan-Yong Meng 1 Qiang Zhang 2 1 School of Management,Qingdao Technological University,Qingdao 266520,China 2 School of Management and Economics,Beijing Institute of Technology,Beijing 100081,China