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On Consistency in AHP and Fuzzy AHP

查看参考文献62篇

文摘 The analytic hierarchy process (AHP) is used widely for analyzing decisions made in various real-world applications. Its basic idea is to construct a hierarchy of concepts encountered in a given decision problem and to choose the best alternative according to pairwise comparison matrices given by the decision maker. Under the assumption of fully rational economics, a reasonable decision should be consistent. It becomes an important issue on how to analyze and ensure the consistency of comparison matrices together with the judgments of the decision maker. The main objectives of the present paper are threefold. First,we review the basic idea and methods used to define the consistency and the transitivity of multiplicative reciprocal matrices, additive reciprocal matrices and comparison matrices with fuzzy interval and triangular fuzzy numbers. The existing controversy behind the applications of fuzzy set theory to the AHP in the literature is presented. Second,the consistency of the collective comparison matrices in group decision making based on AHP and fuzzy AHP is further analyzed. We point out that the weak consistency of preference relations with fuzzy numbers in fuzzy AHP and group decision making should be investigated comprehensively. Third,under the consideration of the vagueness in the process of evaluating the judgements, a new concept of fuzzy consistency of comparison matrices in the AHP is given.
来源 Journal of Systems Science and Information ,2017,5(2):128-147 【核心库】
DOI 10.21078/JSSI-2017-128-20
关键词 decision analysis ; AHP ; fuzzy set theory ; fuzzy consistency ; group decision-making
地址

1. School of Mathematics and Information Science, Guangxi University, Nanning, 530004  

2. School of Mathematics and Information Science,Guangxi University, Nanning, 530004  

3. School of Business Administration, South China University of Technology, Guangzhou, 510641  

4. Department of Electrical and Computer Engineering,University of Alberta, Canada, Edmonton, T6R 2V4

语种 英文
文献类型 研究性论文
ISSN 1478-9906
基金 国家自然科学基金 ;  中国博士后科学基金 ;  2014 Shaanxi Postdoctoral Science Foundation Funded Project, Guangxi Natural Science Foundation ;  Guangxi Natural Science Foundation for Distinguished Young Scholars ;  Science Foundation of Guangxi University for Young Ph.D
文献收藏号 CSCD:6180004

参考文献 共 62 共4页

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