For n-person games,any coalition can equivalently be represented by its characteristic vectors.In this paper,by means of Choquet integral,n-person games are extended from {0,1}n ton.According to axioms system,we investigate and prove the existence and uniqueness of a solution concept for n-person games with fuzzy coalition,which is called the Shapley value.An explicit formula of the Shapley value is given.Finally,we apply the method to profit allocation scheme among enterprises in supply chain c...