定义了模糊联盟合作对策的$\tau$值, 讨论了其有效性、个体合理性、对称性、哑元性等性质. 利用整体有效性、策略等价下的共变性和限制成比例性证明了模糊联盟合作对策的$\tau$值存在唯一性, 讨论了其和模糊核心的关系. 针对模糊联盟凸合作对策, 推导出这类对策$\tau$值的一般简化公式, 并给出基于Choquet积分的模糊联盟凸合作对策$\tau$值. 研究结果发现, 模糊联盟合作对策$\tau$值具有分配合理性和公平性, 而且是对清晰合作对策$\tau$值的扩展.

In this paper, we define the $\tau$-value for fuzzy cooperative games, and discuss their properties about efficiency, individual rationality, symmetry, dummy etc. Then axiomatic characterizations are found for the $\tau$-value using efficiency, covariant under strategic equivalence and restricted proportionality propety. The relationships between the $\tau$-value and the fuzzy core are discussed. Finally, we deduce the general simplified formula of $\tau$-value for the fuzzy convex cooperative games, and give $\tau$-value for the fuzzy cooperative games with Choquet integral. The result of research shows that $\tau$-value for fuzzy cooperative games is characterized by the distribution principles of rationality and equality, and it is also the extension of $\tau$-value for cooperative games.