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author:

Wang, Ying-Ming (Wang, Ying-Ming.) [1] | Yang, Jian-Bo (Yang, Jian-Bo.) [2] | Xu, Dong-Ling (Xu, Dong-Ling.) [3]

Indexed by:

EI

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 pre-determined 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. © 2004 Elsevier Inc. All rights reserved.

Keyword:

Decision theory Eigenvalues and eigenfunctions Hierarchical systems Linear programming Matrix algebra Nonlinear programming Problem solving Testing

Community:

  • [ 1 ] [Wang, Ying-Ming]Manchester School of Management, UMIST, P.O. Box 88, Manchester M60 1QD, United Kingdom
  • [ 2 ] [Wang, Ying-Ming]School of Public Administration, Fuzhou University, Fuzhou, Fujian, 350002, China
  • [ 3 ] [Yang, Jian-Bo]Manchester School of Management, UMIST, P.O. Box 88, Manchester M60 1QD, United Kingdom
  • [ 4 ] [Xu, Dong-Ling]Manchester School of Management, UMIST, P.O. Box 88, Manchester M60 1QD, United Kingdom

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Source :

Applied Mathematics and Computation (New York)

ISSN: 0096-3003

Year: 2005

Issue: 1

Volume: 167

Page: 252-273

0 . 6 8 8

JCR@2005

3 . 5 0 0

JCR@2023

JCR Journal Grade:2

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 148

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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