引用本文: 李胜利,魏翠萍,宋燕红.基于信任关系和互补判断矩阵的群决策方法[J].控制与决策,2020,35(5):1240-1246
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 本文已被：浏览次   下载次 码上扫一扫！ 分享到： 微信 更多 字体:加大+|默认|缩小- 基于信任关系和互补判断矩阵的群决策方法 李胜利1,2, 魏翠萍1, 宋燕红3 (1. 扬州大学数学学院，江苏扬州225002;2. 太原师范学院数学系，山西晋中030619;3. 北京电子科技学院计算机科学与技术系，北京100070)

DOI：10.13195/j.kzyjc.2018.1288

Group decision making method for fuzzy complementary judgement matrices based on trust relationships
LI Sheng-li1,2,WEI Cui-ping1,SONG Yan-hong3
(1. Department of Mathematics,Yangzhou University,Yangzhou225002,China;2. Department of Mathematics, Taiyuan Normal University,Jinzhong030619,China;3. Department of Computer Science and Technology, Beijing Electronic Science and Technology Institute, Beijing100070,China)
Abstract:
With the development of information and network technology, group decision making problems based on social network have attracted the attention of more and more researchers. This paper focuses on a consensus adjustment process and an alternative selection approach for the group decision making problems with fuzzy complementary judgement matrices under the social network environment. Firstly, we build a trust relationship among decision makers by fusing the information from three aspects: social relation among decision makers, the decision maker’ status, and his/her knowledge ability. Then a consensus index is proposed to minimize consensus compensation between elements as far as possible, a consensus model based on the trust relationship is established, and the feasibility of the model is proved theoretically. Finally, the eigenvector centrality of the trust matrix is used to calculate the weights of experts, which is incorporated into aggregating the individual preference values and ranking alternatives. The effectiveness of the proposed method is further verified by a numerical example.
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