| 基于联盟结构的模糊合作博弈的收益分配方案 |
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| 引用本文： | 孙红霞,张强.基于联盟结构的模糊合作博弈的收益分配方案[J].运筹与管理,2010,19(5). |
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| 作者姓名： | 孙红霞 张强 |
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| 作者单位： | 北京理工大学管理与经济学院,北京,100081 |
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| 基金项目： | 国家自然科学基金项目资助 |
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| 摘 要： | 研究了具有联盟结构的企业联盟模糊情况下各局中人的收益分配问题.首先拓展了Owen联盟值在经典意义下满足的5个公理,利用Choquet积分给出了基于联盟结构的模糊合作博弈的Owen联盟值,即模糊Owen联盟值的具体形式,并证明该联盟值满足新定义的5个公理.最后用实例验证了模糊Owen联盟值方法,并对计算结果进行分析。
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| 关 键 词： | 博弈论 模糊联盟博弈 Owen联盟值 联盟结构 |
Scheme of Profit Allocation Based on Fuzzy Cooperative Game in Coalition Structure |
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| SUN Hong-xia,ZHANG Qiang.Scheme of Profit Allocation Based on Fuzzy Cooperative Game in Coalition Structure[J].Operations Research and Management Science,2010,19(5). |
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| Authors: | SUN Hong-xia ZHANG Qiang |
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| Institution: | SUN Hong-xia,ZHANG Qiang(School of Management and Economics,Beijing Institute of Technology,Beijing 100081,China) |
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| Abstract: | The problem of profit allocation under fuzzy coalition among enterprises in coalition structure is studied.First,axioms of Owen coalition value are extended to fuzzy game in coalition structure.The concrete form of Fuzzy Owen coalition value is given by using Choquet integral.Fuzzy Owen coalition value satisfies five axioms which has been defined.Then,the method of fuzzy Owen coalition is proved and the results are analyzed. |
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| Keywords: | game theory game with fuzzy coalition Owen coalition value coalition structure |
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