用于群体决策的一种统计迭代方法  

A Statistical and Iterative Method for Group Decision Making

作　　者：陆金伟[1] 达庆利[2] 

机构地区：[1]东南大学机械工程系,南京210096 [2]东南大学经济管理学院,南京210096

出　　处：《东南大学学报（自然科学版）》1999年第6期89-93,共5页Journal of Southeast University：Natural Science Edition

摘　　要：基于层次分析法对统计性群体决策问题进行了研究．首先建立了群体决策的概率模型；然后按判断矩阵是方阵和上三角阵的２ 种情况，用极大似然法推导出由各个体判断矩阵求群体权矢量的几种迭代公式；接着对一个数例，用若干种公式进行了计算比较．A statistical and iterative method for group decision making on the base of AHP is developed. A probabilistic model for group decision making is built, then in the two cases that pairwise comparison matrix is of both square and triangular, respectively, some iterative formula for a group weight vector from individual pairwise matrices are derived by the maximum likelihood method, further on an example, the above formula are used to obtain group weight vectors.

关 键 词：层次分析法 群体决策 极大似然估计 统计迭代 

分 类 号：O225[理学—运筹学与控制论]