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一类模糊合作对策的核心与谈判集
Core and Bargaining Set for Some Fuzzy Cooperative Games
【摘要】 本文考虑了具有Choquet积分形式的模糊凸合作对策的模糊核心和谈判集。介绍了具有Choquet积分形式的模糊凸合作对策的谈判集的概念,并证明了当其是凸模糊合作对策时,它的谈判集和模糊核心是相等的。将Maschler等关于经典清晰凸合作对策下核心与谈判集的结果推广到了模糊合作对策上。
【Abstract】 In this paper,we deal with core and bargaining set in convex cooperative fuzzy games with Choquet integral forms. We introduce the concept of bargaining sets for cooperative fuzzy games with Choquet integral forms and prove that for a convex cooperative fuzzy game with Choquet integral forms,its bargaining set coincides with its core,which extends a well-known result by Maschler et al. for classical cooperative games to cooperative fuzzy games.
【关键词】 模糊核心;
谈判集;
Choquet积分;
凸模糊合作对策;
【Key words】 fuzzy core; bargaining set; choquet integral; convex fuzzy game;
【Key words】 fuzzy core; bargaining set; choquet integral; convex fuzzy game;
【基金】 国家自然科学基金资助项目(71561022,71371030,71462028);宁夏大学自然科研基金资助课题(ZR1402)
- 【文献出处】 运筹与管理 ,Operations Research and Management Science , 编辑部邮箱 ,2016年05期
- 【分类号】O225;O159
- 【被引频次】3
- 【下载频次】119