群体判断矩阵及权向量的最优传递矩阵求法  

The Optimal Transitive Matrix Method of Group Comparison Matrices and Weight Vectors

作　　者：王应明[1] 徐南荣[1] 

机构地区：[1]东南大学管理学院

出　　处：《系统工程理论与实践》1991年第4期70-74,48,共6页Systems Engineering-Theory & Practice

摘　　要：层次分析法的关键步骤是构造判断矩阵,判断矩阵一经确定,即可选用各种各样的计算方法得到判断矩阵的排序权值,如可选用行和正规化方法、列和求逆法、和积法、方根法、特征向量法(EM)、对数回归法(LLSM)、最小平方逼近法(LSM)、梯度特征向量法(GEM)等等。然而,判断矩阵的获得,在通常情况下是通过专家咨询而得到的。This paper studies the group decision-making problem in AHP. By solving a optimal transitive matrix of group comparison matrices, a synthetic consistency comparison matrix is obtained. Based on it , the optimal weight vectors of Group-AHP is optimal. The consistency problem of Group-AHP is also discussed, and a weighted optimal transitive matrix method is presented accordingly. Finally, the approaches prove to be feasible and effective through an example.

关 键 词：群体判断矩阵 权向量 最优传递矩阵 最优化排序 

分 类 号：O223[理学—运筹学与控制论]