基于模糊博弈的合作联盟最优利益分配模型

发布时间：2018-07-23 07:38

【摘要】：为解决合作联盟在经典博弈下不存在最优利益分配方案的缺陷,借助参与度隶属函数,构建了模糊平均单调博弈模型,通过博弈模型的求解来解决合作联盟最优利益分配问题,用定理证明了模糊平均单调博弈下模糊核心及模糊谈判集分配模型的等价性,表明合作联盟最优利益分配方案的存在性,进而借助任意计算模型求解合作联盟最优利益分配方案。同时构建了模糊简化博弈模型,通过计算模糊简化博弈特征函数的最大差值确定最好的联盟合作伙伴,并论证了模糊简化博弈和模糊平均单调博弈之间的转换关系。通过算例验证了分配模型的可行性。该结果丰富了模糊合作博弈解的研究与应用,也为联盟成员的合作行为提供了新的理论依据。
[Abstract]:In order to solve the problem that the cooperative alliance does not have the optimal benefit distribution scheme under the classical game, the fuzzy average monotone game model is constructed with the help of the membership function of participation degree, and the optimal benefit distribution problem of the cooperative alliance is solved by the solution of the game model. The equivalence of fuzzy kernel and fuzzy negotiation set allocation model under fuzzy mean monotone game is proved by theorem, and the existence of optimal benefit allocation scheme of cooperative alliance is proved. Then the optimal benefit allocation scheme of cooperative alliance is solved by means of arbitrary calculation model. At the same time, the fuzzy simplified game model is constructed, and the best alliance partner is determined by calculating the maximum difference of the characteristic function of the fuzzy simplified game, and the conversion relationship between the fuzzy simplified game and the fuzzy mean monotone game is demonstrated. The feasibility of the allocation model is verified by an example. This result not only enriches the research and application of fuzzy cooperative game solutions, but also provides a new theoretical basis for cooperative behavior of alliance members.
【作者单位】：西北工业大学生命学院;西安财经学院信息学院;西安理工大学经济与管理学院;
【基金】：国防基础科研计划基金资助项目(A0420131501) 全国经济管理院校工业技术学研究会资助项目(16GYJS016) 陕西省教育厅科学研究计划资助项目(16JK1286) 中国(西安)丝绸之路研究院科学研究资助项目(2016SY11,2016SDZ07)~~
【分类号】：F273.7;O159

【相似文献】