In this paper, we make a study of the Shapley values with the fuzzy characteristic functions from the viewpoint that the payoff of each coalition are often only imprecisely or ambiguously known to the players. Axioms of the fuzzy Shapley value are extended on the basis of the deterministic one. From the viewpoint that the allocation for each player should be a crisp value rather than a fuzzy membership function at the end of cooperation, we proposed a crisp allocation scheme based on fuzzy Shapley values. Finally, we apply the method to profit allocation scheme among partners in virtual enterprises