For cooperative games with limited communication structure, in view of that players' participation rates and alliances profit are both fuzzy, an average tree(A-T) solution with fuzzy coalitions and fuzzy payoffs is proposed. Considering the degree of risk preference, we give the characteristic function by combining with the Choquet integral form, and then propose a solution formula that satisfies an axiom system. This solution model not only can depict the restrictiveness and fuzziness of the real alliance, but also benefit for solving the distribution function. Finally, the allocation method is applied to the revenue allocation of PPP project, which manifests that the method is more reasonable than the Shapley value.