| 具有模糊联盟值n人对策的模糊Shapley值 |
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| 引用本文： | 谭春桥.具有模糊联盟值n人对策的模糊Shapley值[J].系统管理学报,2012,21(1):42-47. |
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| 作者姓名： | 谭春桥 |
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| 作者单位： | 中南大学商学院,长沙,410083 |
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| 基金项目： | 国家自然科学基金资助项目(70801064) |
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| 摘 要： | 研究了一类联盟收益值是模糊数的n人对策的模糊Shapley值。利用模糊数运算有关理论,通过建立公理化体系,对具有模糊联盟收益值n人对策的模糊Shapley值进行深入研究,证明了这类n人对策模糊Shapley值存在性与唯一性,并给出了此Shapley值的具体表达式。最后,将此模糊Shapley值作为收益分配方案应用到企业协作收益分配的实例中。
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| 关 键 词： | n人对策 模糊数联盟值 Shapley值 |
Fuzzy Shapley Value for n-Person Games with Fuzzy Coalition Value |
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| TAN Chun-qiao.Fuzzy Shapley Value for n-Person Games with Fuzzy Coalition Value[J].Systems Engineering Theory·Methodology·Applications,2012,21(1):42-47. |
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| Authors: | TAN Chun-qiao |
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| Institution: | TAN Chun-qiao(School of Business,Central South University,Changsha 410083,China) |
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| Abstract: | The Shapley value of n-person cooperative games with fuzzy coalition value is studied.By means of fuzzy set theory,the axiomatic system is construced,in which the existence and uniqueness of a solution concept for n-person games with fuzzy coalition value are proved and the value is called fuzzy Shapley value.An explicit formula of the fuzzy Shapley value is derived as well.An illustrative example is provided to show the feasibility and practicality of the study and the method is applied to profit allocation scheme among enterprises coordination. |
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| Keywords: | n-persons games fuzzy number coalition worth fuzzy Shapley value |
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