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author:

Wang, YM (Wang, YM.) [1] (Scholars:王应明) | Yang, JB (Yang, JB.) [2] | Xu, DL (Xu, DL.) [3]

Indexed by:

EI Scopus SCIE

Abstract:

A simple yet pragmatic method of consistency test is developed to check whether an interval comparison matrix is consistent or not. Linear programming method is used to derive consistent interval weights from consistent interval comparison matrices and to aggregate local interval weights to generate global interval weights. In cases where an interval comparison matrix is inconsistent, an eigenvector method-based nonlinear programming (NLP) approach is developed to generate interval weights that can meet predetermined consistency requirements. A simple and effective preference ranking method is utilized to compare the interval weights of criteria or rank alternatives. Three numerical examples including a hierarchical (AHP) decision problem are provided to illustrate the validity and practicality of the proposed methods. (c) 2004 Elsevier Inc. All rights reserved.

Keyword:

analytic hierarchy process consistency test interval comparison matrix linear and nonlinear programming preference ranking weight estimation

Community:

  • [ 1 ] Univ Manchester, Inst Sci & Technol, Manchester Sch Management, Manchester M60 1QD, Lancs, England
  • [ 2 ] Fuzhou Univ, Sch Publ Adm, Fujian 350002, Peoples R China

Reprint 's Address:

  • 王应明

    [Wang, YM]Univ Manchester, Inst Sci & Technol, Manchester Sch Management, POB 88, Manchester M60 1QD, Lancs, England

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Source :

APPLIED MATHEMATICS AND COMPUTATION

ISSN: 0096-3003

Year: 2005

Issue: 1

Volume: 167

Page: 252-273

0 . 6 8 8

JCR@2005

3 . 5 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

JCR Journal Grade:2

Cited Count:

WoS CC Cited Count: 129

SCOPUS Cited Count: 148

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

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