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基于G1法的判断矩阵的一致性分析
引用本文:王学军,郭亚军. 基于G1法的判断矩阵的一致性分析[J]. 中国管理科学, 2006, 14(3): 65-70
作者姓名:王学军  郭亚军
作者单位:1. 东北大学工商管理学院, 辽宁, 沈阳, 110004;2. 沈阳航空工业学院管理系, 辽宁, 沈阳, 110034
基金项目:科技部科技兴贸行动计划
摘    要:应用层次分析法(AHP)法的难点在于构造判断矩阵,构造判断矩阵的难点在于其一致性问题,本文用G1法分析造成AHP判断矩阵不一致的原因,指出了G1法与构造判断矩阵的本质区别,解决了层次分析法的应用难题.同时对一些文献基于构造判断矩阵得出的值得商榷的结论进行了讨论.

关 键 词:层次分析法  G1法  一致性  标度  序关系  
文章编号:1003-207(2006)03-0065-06
收稿时间:2005-04-29;
修稿时间:2005-04-29

Analyzing the Consistency of Comparison Matrix Based on G1 Method
WANG Xue-jun,GUO Ya-jun. Analyzing the Consistency of Comparison Matrix Based on G1 Method[J]. Chinese Journal of Management Science, 2006, 14(3): 65-70
Authors:WANG Xue-jun  GUO Ya-jun
Affiliation:1. School of Business Adminstration, Northeastern University, Shenyang 110004, China;2. Department of Administration, Shenyang Institute of Aeronautical Engineering, Shenyang 110034, China
Abstract:The difficulty of applying the AHP method is the construction of the comparison matrix,and the difficulty of constructing the comparison matrix lies in the consistency problem of the matrix.This paper analyzes the reasons which result in the inconsistency of the comparison matrix from AHP through the G1 method,points out the essential difference between the G1 method and the construction of the comparison matrix and solves the problem of applying the AHP method.Also,the wrong conclusions based on the construction of the comparison matrix in some literatures are analyzed.
Keywords:AHP  G1 method  consistency  scale  order relation  
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