| 拟阵上模糊合作对策的Banzhaf函数 |
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| 引用本文： | 孟凡永,张强.拟阵上模糊合作对策的Banzhaf函数[J].模糊系统与数学,2011,25(5). |
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| 作者姓名： | 孟凡永 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： | 国家自然科学基金资助项目(707710107080106471071018) |
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| 摘 要： | 首先通过对清晰拟阵定义的拓展,给出了模糊拟阵的概念。通过定义具有多线性扩展形式的模糊合作对策在静态结构和动态结构拟阵上B anzhaf函数的公理体系,分别探讨了此类模糊合作对策在这两种拟阵上关于B anzhaf函数的存在性和唯一性。同时,通过定义具有Choquet积分形式模糊合作对策在静态结构和动态结构拟阵上B anzhaf函数的公理体系,分别探讨了此类模糊合作对策在这两种拟阵上关于B anzhaf函数的存在性和唯一性。
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| 关 键 词： | 拟阵 模糊合作对策 Banzhaf函数 |
The Banzhaf Function for Fuzzy Cooperative Games on Matroids |
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| MENG Fan-yong,ZHANG Qiang.The Banzhaf Function for Fuzzy Cooperative Games on Matroids[J].Fuzzy Systems and Mathematics,2011,25(5). |
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| Authors: | MENG Fan-yong ZHANG Qiang |
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| Institution: | MENG Fan-yong,ZHANG Qiang(School of Management and Economics,Beijing Institute of Technology,Beijing 100081,China) |
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| Abstract: | In this paper,the definition of the fuzzy matroids is obtained by extending the crisp case.The existence and uniqueness of the Banzhaf function on matroids with static and dynamic structure are discussed for fuzzy cooperative games with multilinear extension form by corresponding axiomatic systems.At the same time,the axiomatic systems for the Banzhaf function on matroids with static and dynamic structure are proposed for fuzzy cooperative games with Choquet integral form,the existence and uniqueness of the... |
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| Keywords: | Matroids Fuzzy Cooperative Games Banzhaf Function |
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