The bargaining sets for fuzzy cooperative game with non-transferable utility

In this paper, we extended the concepts of the bargaining sets, which were proposed by Davis-Machler^[1] (1964) and Mas-Colell^[2] (1989) in classical cooperative game theory, to non-transferable utility fuzzy game. We proved that there exists the inclusion relation between them under the condition of not only in superadditive non-transferable games but also in non-transferable fuzzy games. Therefore, we claim that the new concept of bargaining set have practical significance and theoretical value.