基于灰色关联分析的专家群体判断一致性分析

Analysis of consistency of group experts judgment based on grey relational analysis

基于灰色关联分析方法,检验由群决策构造的互反判断矩阵一致性.采用专家的平均判断矩阵作为群体互反判断矩阵.通过计算各个专家构造的互反判断矩阵与群互反判断矩阵之间的关联度大小来判别是否满足预设的专家群体互反判断一致性指标(QR)的要求.并且针对群决策不一致性提出了调整方法.最后,将灰色关联分析方法与指标相容性不一致性判别方法进行对比分析.结果证明灰色关联分析方法对偏离较大的判断矩阵具有更敏感的识别,而且调整后的判断矩阵能够满足一致性的要求.

Firstly,the consistency of reciprocal comparison matrix made by experts was tested based on grey relational analysis（GRA）.Secondly,all the reciprocal comparison matrixes were gathered through average calculating as group reciprocal comparison matrix.Thirdly,group reciprocal comparison consistency index（QR） was proposed to indicate the consistency of group decision-making by calculating the grey relational grade（GRG） between each expert matrix and group matrix.And,aiming at the nonconsistency adjustment method was also proposed.Finally,GRA method was compared with index compatibility test method,and it is proved that GRA method was more sensitive to deviation matrix than index compatibility test method.What is more,adjusted matrix can meet the given consistency requirement.