Abstract:

A class of fuzzy cooperative games with fuzzy payoffsfuzzy cooperative games with Choquet integral form is proposed, which combines the fuzzy numbers limited operations. Its monotonicity and continuity are studied. This paper discusses this kind of fuzzy cooperative games’ fuzzy core and fuzzy Shapley value when the fuzzy cooperative games with fuzzy payoffs are fuzzy convex. At the same time, this paper studies the relation between fuzzy core and fuzzy Shapley value of the fuzzy cooperative games with Choquet integral form, which is coincide with the classical case. It need to be pointed that all the definitions about fuzzy cooperative games are the extension for the classical case. Finally, a numerical example is given to illustrate its application.