拟阵约束下TU模糊合作博弈的Banzhaf-Coleman值  

The Modified Banzhaf Value Based on TU Fuzzy Cooperative Games with Restriction of Matroids

作　　者：黄武军[1] 刘天虎[2] 许维胜[2] 吴启迪[1,2] 

机构地区：[1]同济大学经济与管理学院 [2]同济大学电子与信息工程学院,上海200092

出　　处：《运筹与管理》2010年第6期79-85,共7页Operations Research and Management Science

基　　金：国家973规划项目(2002CB312200)

摘　　要：本文利用公理化的方法对TU模糊合作博弈的Banzhaf-Coleman值进行了研究,引入拟阵约束分析了其有效性、可加性、单调性、非实质性、公平性和中立性,并论证了拟阵约束下Banzhaf-Coleman值的唯一性。该方法可用于联盟成员的势力大小的衡量,特别是对房地产开发商Cartel联盟的合作势力大小的评估,也可实现有效的收益分配方案。最后利用实例对该方法的有效性和可行性进行了说明。This study researches the modified Banzhaf-Coleman value based on TU fuzzy cooperative games by using axiomatic method.By adopting restriction of matroids,we analyze its character of efficiency,additivity,monotonicity,inessential,fairness and neutrality.And it proves its uniqueness of modified Banzhaf-Coleman value under restriction of matroids.This method can be used for power evaluation of alliance member,especially for the power evaluation of Cartel alliance of developer of real estate,as well as realize effective payoff programme.Eventually,a practical example is provided to illustrate the validity and feasibility of this method.

关 键 词：拟阵约束 可转移效用 模糊合作博弈 Banzhaf-Coleman值 

分 类 号：O225[理学—运筹学与控制论]