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[期刊论文]

On the extent analysis method for fuzzy AHP and its applications

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author:

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

Indexed by:

EI Scopus SCIE

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. (C) 2007 Elsevier B.V. All rights reserved.

Keyword:

analytic hierarchy process extent analysis fuzzy comparison matrix multiple criteria decision analysis

Community:

  • [ 1 ] Fuzhou Univ, Sch Publ Adm, Fuzhou 350002, Peoples R China
  • [ 2 ] Xiamen Univ, Sch Management, Xiamen 361005, Peoples R China
  • [ 3 ] Univ Sci & Technol China, Sch Management, Hefei 230026, Peoples R China

Reprint 's Address:

  • 王应明

    [Wang, Ying-Ming]Fuzhou Univ, Sch Publ Adm, Fuzhou 350002, Peoples R China

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Version:

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

ESI Discipline: ENGINEERING;

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 491

SCOPUS Cited Count: 634

ESI Highly Cited Papers on the List: 12 Unfold All

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