期刊
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
卷 213, 期 1, 页码 246-259出版社
ELSEVIER
DOI: 10.1016/j.ejor.2011.03.014
关键词
Multiple criteria analysis; Inconsistency identification; Analytic network process (ANP); Pair-wise comparison matrix; Order reduction; Matrix multiplication
资金
- National Natural Science Foundation of China [70901011, 70901015, 70921061]
Tests of consistency for the pair-wise comparison matrices have been studied extensively since AHP was introduced by Saaty in 1970s. However, existing methods are either too complicated to be applied in the revising process of the inconsistent comparison matrix or are difficult to preserve most of the original comparison information due to the use of a new pair-wise comparison matrix. Those methods might work for AHP but not for ANP as the comparison matrix of ANP needs to be strictly consistent. To improve the consistency ratio, this paper proposes a simple method, which combines the theorem of matrix multiplication, vectors dot product, and the definition of consistent pair-wise comparison matrix, to identify the inconsistent elements. The correctness of the proposed method is proved mathematically. The experimental studies have also shown that the proposed method is accurate and efficient in decision maker's revising process to satisfy the consistency requirements of AHP/ANP. (C) 2011 Elsevier B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据