In this study, fuzzy games with fuzzy payoffs that consider the player risk preferences are studied. Based on the possibility and necessity expectations, the Shapley function for this kind of fuzzy games is researched. An axiomatic system of the given Shapley function is defined. Meantime, some properties are also discussed which coincide with the classical case. Finally, a numerical example is given to explain the player Shapley values for fuzzy games under possibility and necessity expectations.
展开▼