Abstract: Dynamic coalition focuses on cooperation between the Leaguers, and the profit allocation is the result of cooperation rational participation. Taking into account the fuzziness of the profit allocation, this paper applies fuzzy cooperative games to solving the dynamics coalition. The key problem is to solve the Shapley value of fuzzy cooperative game. The fuzzy structured element theory is applied to analyzing fuzzy cooperative games. Then membership function of the fuzzy Shapley value can get analytic expression. The method can embody different dynamic profit distribution under different behavior preference, and the results of application verify the effectiveness of the improved algorithm.

Key words: fuzzy mathematics, structured element, cooperative games, dynamics coalition

摘要： 动态联盟注重盟员间的合作，在参与人合作过程中，收益分配是其理性选择的结果。实际生活中收益又具有模糊性，所以应用模糊合作博弈来研究该问题非常必要。这里的关键问题是模糊合作博弈Shapley值的求解问题。将模糊合作博弈中的模糊支付用模糊结构元表示，给出基于结构元理论的各局中人Shapley值求解方法，使其得到解析表达。求解该方法可以体现出决策者不同行为偏好下动态收益的不同分配，应用结果验证了改进算法的有效性。

关键词: 模糊数学, 结构元, 合作博弈, 动态联盟