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author:

Wang, Ying-Ming (Wang, Ying-Ming.) [1] | Chin, Kwai-Sang (Chin, Kwai-Sang.) [2]

Indexed by:

EI

Abstract:

The DEAHP method for weight deviation and aggregation in the analytic hierarchy process (AHP) has been found flawed and sometimes produces counterintuitive priority vectors for inconsistent pairwise comparison matrices, which makes its application very restrictive. This paper proposes a new data envelopment analysis (DEA) method for priority determination in the AHP and extends it to the group AHP situation. In this new DEA methodology, two specially constructed DEA models that differ from the DEAHP model are used to derive the best local priorities from a pairwise comparison matrix or a group of pairwise comparison matrices no matter whether they are perfectly consistent or inconsistent. The new DEA method produces true weights for perfectly consistent pairwise comparison matrices and the best local priorities that are logical and consistent with decision makers (DMs)' subjective judgments for inconsistent pairwise comparison matrices. In hierarchical structures, the new DEA method utilizes the simple additive weighting (SAW) method for aggregation of the best local priorities without the need of normalization. Numerical examples are examined throughout the paper to show the advantages of the new DEA methodology and its potential applications in both the AHP and group decision making. © 2008 Elsevier B.V. All rights reserved.

Keyword:

Analytic hierarchy process Data envelopment analysis Decision making Hierarchical systems Matrix algebra

Community:

  • [ 1 ] [Wang, Ying-Ming]Institute of Soft Science, Fuzhou University, Fuzhou, 350002, China
  • [ 2 ] [Wang, Ying-Ming]Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon Tong, Hong Kong
  • [ 3 ] [Chin, Kwai-Sang]Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon Tong, Hong Kong

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Source :

European Journal of Operational Research

ISSN: 0377-2217

Year: 2009

Issue: 1

Volume: 195

Page: 239-250

2 . 0 9 3

JCR@2009

6 . 0 0 0

JCR@2023

JCR Journal Grade:1

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 73

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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