基于属性关联的灰色变权方法  

The Gray Variable Weights Method in the Presence of Relationship

作　　者：黄宗盛[1] 胡培[1] 林仁[1,2] 

机构地区：[1]西南交通大学经济管理学院,四川成都610031 [2]湖南城市学院数学与计算科学学院,湖南益阳413000

出　　处：《数学的实践与认识》2013年第19期19-25,共7页Mathematics in Practice and Theory

基　　金：四川省循环经济研究中心2011年度课题(XHJJ-1104)

摘　　要：针对属性间关联的多属性决策问题,提出了一种基于灰色关联变权的多属性决策方法.采用灰色关联度模型对决策属性间的相互关联度进行分析,得到属性间的灰色关联矩阵,采用阈值原则对矩阵标准化,得到有效关联矩阵,然后对属性的权重进行调整,得到更加合理的属性权重分配,使多属性决策理论更加合理.通过算例分析,验证了方法的有效性.Considering the multiple attribute decision making problem with relationship between attributes, a kind of gray variable weights method is proposed. The grey correlation model is used to analysis the relationship between the attributes. The grey relationship matrix is obtained and by the standardization of grey relationship matrix, the effective rela- tionship matrix could be obtained. Finally, the weights are adjusted to be more reasonable. A numerical example is given to verify the effectiveness of the method proposed.

关 键 词：灰色关联 多属性决策 变权 

分 类 号：O225[理学—运筹学与控制论]