模糊网络博弈的合作联盟优化对策研究
Research on optimization strategy of cooperative alliance based on fuzzy network game

模糊网络博弈主要关注如何将联盟收益分配给合作联盟的每个参与者，其广义模糊博弈解同时引入参与度和调整系数，不仅实现了参与者以部分资源参与合作联盟的愿望，而且满足了保留部分收益值用于联盟再发展的需求。本文作为引文[20]的后续深入研究，对模糊网络博弈的解进行拓展，提出广义模糊核心解、广义模糊谈判集解的概念，并证明当满足超可加性的前提下，模糊网络博弈的广义模糊核心解与其广义模糊谈判集解具有等价关系，并刻画了模糊网络博弈广义核心解的非空性，算例分析结果表明合作联盟广义分配方案的存在性，为合作联盟优化对策提供服务。
The fuzzy network cooperative game mainly studies how to distribute the cooperative coalition profit to each participant of the network coalition, the generalized fuzzy game theory with participation and adjustment coefficients is introduced，which not only achieves the desire of participants to participate in cooperative alliances with some resources, but also meets the needs of preserving part of the value of income for the redevelopment of alliances. Further study of this article as citation [20], the solutions of fuzzy network game are extended, the definition of generalized fuzzy imputation, generalized fuzzy core and generalized fuzzy bargaining set are proposed, and it is proved that the generalized fuzzy core of the fuzzy network cooperative game is equivalent to the generalized fuzzy bargaining set when the super additive is satisfied. The nonempty of the solution of generalized fuzzy core in network cooperative game is described. Example analysis results show the existence and rationality of the generalized distribution scheme, it provides service for cooperative alliance optimization strategy