关于区间数决策矩阵的专家群体判断共识性研究  

Study on Consistency of Expert Group's Judgments Based on Interval Numbers Desision Matrices

作　　者：陈侠[1] 樊治平[2] 

机构地区：[1]沈阳航空工业学院,沈阳110034 [2]东北大学工商管理学院,沈阳110004

出　　处：《运筹与管理》2008年第1期1-6,共6页Operations Research and Management Science

基　　金：国家杰出青年科学基金资助项目(70525002);教育部高等学校博士学科点基金资助项目(20040145018);辽宁教育基金资助项目(2004F108;20060647)

摘　　要：针对群决策中基于区间数决策矩阵形式偏好信息的专家群体判断共识性问题,提出了一种分析方法。首先,给出了有关区间数的定义及其运算法则;然后,通过定义有关区间数决策矩阵的区间数向量,给出了各个专家与专家群体判断的共识性分析方法,同时,也给出了基于区间数决策矩阵的专家群体判断共识性的判别方法。最后,通过一个算例说明了本文提出的分析方法。With respect to the consistence problem of expert group＇s judgments based on the preference information about interval numbers decision matrices, an analytic method is proposed. First, a concept on the interval number and its calculation rules are introduced. Then, an analytic method for the consistency between each expert＇ s judgment and experts group＇ s judgment is given based on definitions of vectors of interval numbers decision matrices. Meanwhile, a judgment approach to the consistency of expert group＇s judgment is proposed based on the preference information about interval numbers decision matrices. Finally, a numerical example is given to illustrate the use of the analysis method proposed in this paper.

关 键 词：决策分析 共识性 夹角余弦 区间数决策矩阵 

分 类 号：N945.25[自然科学总论—系统科学]