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[期刊论文]

A linear programming method for generating the most favorable weights from a pairwise comparison matrix

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author:

Wang, Y.-M. (Wang, Y.-M..) [1] | Parkan, C. (Parkan, C..) [2] | Luo, Y. (Luo, Y..) [3]

Indexed by:

Scopus

Abstract:

This paper proposes a linear programming method for generating the most favorable weights (LP-GFW) from pairwise comparison matrices, which incorporates the variable weight concept of data envelopment analysis (DEA) into the priority scheme of the analytic hierarchy process (AHP) to generate the most favorable weights for the underlying criteria and alternatives on the basis of a crisp pairwise comparison matrix. The proposed LP-GFW method can generate precise weights for perfectly consistent pairwise comparison matrices and approximate weights for inconsistent pairwise comparison matrices, which are not too far from Saaty's principal right eigenvector weights. The issue of aggregation of local most favorable weights and rank preservation methods is also discussed. Four numerical examples are examined using the LP-GFW method to illustrate its potential applications and significant advantages over some existing priority methods. © 2007 Elsevier Ltd. All rights reserved.

Keyword:

Analytic hierarchy process; Data envelopment analysis; Most favorable weights; Multicriteria decision analysis; Rank preservation

Community:

  • [ 1 ] [Wang, Y.-M.]Institute of Soft Science, Fuzhou University, Fuzhou, 350002, China
  • [ 2 ] [Parkan, C.]Department of Management, Long Island University, C.W. Post Campus, 720 Northern Blvd, Brookville, NY 11548, United States
  • [ 3 ] [Luo, Y.]School of Management, Xiamen University, Xiamen, 361005, China

Reprint 's Address:

  • [Wang, Y.-M.]Institute of Soft Science, Fuzhou University, Fuzhou, 350002, China

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Source :

Computers and Operations Research

ISSN: 0305-0548

Year: 2008

Issue: 12

Volume: 35

Page: 3918-3930

1 . 3 6 6

JCR@2008

4 . 1 0 0

JCR@2023

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count:

30 Days PV: 1

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