| 一种基于语言判断矩阵的群决策方案排序新方法 |
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| 引用本文： | 陈侠,樊治平.一种基于语言判断矩阵的群决策方案排序新方法[J].系统工程,2009(12). |
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| 作者姓名： | 陈侠 樊治平 |
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| 作者单位： | 沈阳航空工业学院;东北大学工商管理学院; |
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| 基金项目： | 国家创新研究群体科学基金资助项目(70721001); 航空基金资助项目(2008ZG54023); 辽宁省自然科学基金资助项目(20092053); 中国博士后科学基金资助项目(20070421057) |
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| 摘 要： | 针对群决策中基于语言判断矩阵形式偏好信息的方案排序问题,提出一种新的排序方法。给出有关语言判断矩阵的完全一致性、满意一致性、LOW A算子及图论的连通图和树等若干定义,得出构造具有完全一致性或满意一致性的语言判断矩阵满足的条件。根据图论的无向连通图理论,给出基于语言判断矩阵的群决策的方案排序方法。通过一个算例说明本文提出的分析方法。
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| 关 键 词： | 群决策 语言判断矩阵 LOWA算子 图论 |
A New Method for Ranking Based on Linguistic Judgment Matrices in Group Decision Making |
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| CHEN Xia,FAN Zhi-ping.A New Method for Ranking Based on Linguistic Judgment Matrices in Group Decision Making[J].Systems Engineering,2009(12). |
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| Authors: | CHEN Xia FAN Zhi-ping |
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| Institution: | CHEN Xia1,2,FAN Zhi-ping2(1.Shenyang Institute of Aeronantical Engineering,Shenyang 110136,China,2.School of Business Administration,Northeastern University,Shenyang 110004,China) |
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| Abstract: | With respect to the problem of linguistic preference information,this paper proposes a new ranking method.First,the several concepts of linguistic judgment matrices,complete consistency;satisfied consistency;operator of LOWA;connected graph and tree of graph theory are introduced,the condition is obtained that the linguistic judgment matrices have complete consistency or weak consistency.Then,a ranking approach to linguistic judgment matrix is also given based on the defining of undirected connected graph i... |
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| Keywords: | Group Decision-making Linguistic Judgment Matrices Operator of LOWA Graph Theory |
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