| 模糊联盟图合作对策tau值 |
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| 引用本文： | 杨靛青,李登峰,俞裕兰.模糊联盟图合作对策tau值[J].控制与决策,2017,32(9):1653-1658. |
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| 作者姓名： | 杨靛青 李登峰 俞裕兰 |
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| 作者单位： | 福州大学经济与管理学院,福州350108,福州大学经济与管理学院,福州350108,福建对外经济贸易职业技术学院,福州350002 |
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| 基金项目： | 国家自然科学基金项目(71231003,71171055)；福建省中青年教师教育科研项目(JA13392S)；福建省社会科学规划项目(2012C022,FJ2015C141,FJ2015B185)；福州大学社科科研扶持基金项目(15SKF13, XRC201620). |
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| 摘 要： | 针对模糊环境下有限制的联盟合作情况,利用Choquet积分定义了模糊联盟图合作对策tau值,证明了其存在性和其他重要性质,讨论了其与模糊核心的关系,并给出凸模糊联盟图合作对策tau值的计算公式.最后通过一个算例表明了该tau值的有效性和合理性.研究发现,该tau值是传统tau值的拓展.
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| 关 键 词： | 模糊联盟图 合作对策 tau值 Choquet积分 |
tau-values for fuzzy graph cooperative games |
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| YANG Dian-qing,LI Deng-feng and YU Yu-lan.tau-values for fuzzy graph cooperative games[J].Control and Decision,2017,32(9):1653-1658. |
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| Authors: | YANG Dian-qing LI Deng-feng and YU Yu-lan |
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| Affiliation: | School of Economics and Management,Fuzhou University,Fuzhou 350108,China,School of Economics and Management,Fuzhou University,Fuzhou 350108,China and Fujian International Business and Economic College,Fuzhou350002,China |
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| Abstract: | Considering fuzzy restricted coalitions appearing in the practical cooperation, the tau-value for the fuzzy graph cooperative games with the Choquet integral is defined, and its existence and some important properties are proved. The relation between the tau-value and the fuzzy core is discussed. The computational formula of tau-value for the convex fuzzy graph cooperative games is given. Finally,the effectiveness and rationality of the tau-value is illustrated by a numerical example. The research result shows that the tau-value is an extension of that for crisp cooperative game. |
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