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
In this study a new hybrid aggregation operator named as the generalized intuitionistic fuzzy hybrid Choquet averaging(GIFHCA) operator is defined.Meantime,some desirable properties are studied, and several important cases are examined.Furthermore,we define the generalized Shapley GIFHCA (GS-GIFHCA) operator,which does not only overall consider the importance of elements and their ordered positions,but also globally reflect the correlations among them and their ordered positions.In order to simplify the complexity of solving a fuzzy measure,we further define the generalizedλ-Shapley GIFHCA(GλS-GIFHCA) operator.
