On consistency of the weighted geometric mean complex judgement matrix in AHP

被引:307
作者
Xu, ZS [1 ]
机构
[1] Inst Commun Engn, Nanjing 210016, Peoples R China
基金
美国国家科学基金会;
关键词
Analytic Hierarchy Process (AHP); judgement matrices; consistency;
D O I
10.1016/S0377-2217(99)00082-X
中图分类号
C93 [管理学];
学科分类号
12 ; 1201 ; 1202 ; 120202 ;
摘要
The weighted geometric mean method (WGMM) is the most common group preference aggregation method in the Analytic Hierarchy Process. This paper reports on research concerning the consistency of WGMM and proves that the weighted geometric mean complex judgement matrix (WGMCJM) is of acceptable consistency. In Saaty's (T.L. Saaty, The Analytic Hierarchy Process, McGraw-Hill, New York, 1980) opinion, a consistency ratio (CR) of 0.1 or less is acceptable under the condition that all judgement matrices given by experts for the same problem of decision-making are of acceptable consistency. Accordingly, a theoretic basis has been developed for the application of the WGMM in group decision making. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:683 / 687
页数:5
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