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author:

Wang, Ying-Ming (Wang, Ying-Ming.) [1] | Luo, Ying (Luo, Ying.) [2] | Hua, Zhongsheng (Hua, Zhongsheng.) [3]

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EI

Abstract:

In a paper by Chang [D.Y. Chang, Applications of the extent analysis method on fuzzy AHP, European Journal of Operational Research 95 (1996) 649-655], an extent analysis method on fuzzy AHP was proposed to obtain a crisp priority vector from a triangular fuzzy comparison matrix. It is found that the extent analysis method cannot estimate the true weights from a fuzzy comparison matrix and has led to quite a number of misapplications in the literature. In this paper, we show by examples that the priority vectors determined by the extent analysis method do not represent the relative importance of decision criteria or alternatives and that the misapplication of the extent analysis method to fuzzy AHP problems may lead to a wrong decision to be made and some useful decision information such as decision criteria and fuzzy comparison matrices not to be considered. We show these problems to avoid any possible misapplications in the future. © 2007 Elsevier B.V. All rights reserved.

Keyword:

Analytic hierarchy process Decision theory Fuzzy systems Matrix algebra Operations research Problem solving Vectors

Community:

  • [ 1 ] [Wang, Ying-Ming]School of Public Administration, Fuzhou University, Fuzhou, 350002, China
  • [ 2 ] [Luo, Ying]School of Management, Xiamen University, Xiamen, 361005, China
  • [ 3 ] [Hua, Zhongsheng]School of Management, University of Science and Technology of China, Hefei, 230026, China

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Source :

European Journal of Operational Research

ISSN: 0377-2217

Year: 2008

Issue: 2

Volume: 186

Page: 735-747

1 . 6 2 7

JCR@2008

6 . 0 0 0

JCR@2023

JCR Journal Grade:1

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SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

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Chinese Cited Count:

30 Days PV: 0

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