将模糊软集引入合作博弈理论中,定义一种模糊软合作联盟模型.在该模型的基础上提出模糊软合作博弈,讨论其Aubin核心、超可加性和凸性等;证明模糊软合作博弈核心的非空性.利用Choquet积分分析模糊软合作联盟博弈的收益分配对策,保证模糊软合作联盟的稳定性.最后通过算例分析,验证该合作联盟博弈及其收益分配方法是有效的,方便考察联盟的收益情况,可提高分配计算的效率.
A fuzzy soft cooperation alliance model is given using fuzzy soft set,and a fuzzy soft cooperative game is proposed based on the model.Then the Aubin core,the super additivity,the convexity and other properties of the fuzzy soft cooperative game are discussed,and the non-empty property of fuzzy soft cooperative game core is proved.Furthermore,the profit allocation strategies of the fuzzy soft cooperative alliance games are analysed using the Choquet integral in order to ensure the stability of the fuzzy soft cooperation alliance.Finally,the example shows the profit allocation method improves greatly the performance of allocationcal calculation.