关键词: 模糊数学, 结构元, 合作博弈, 动态联盟

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