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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.
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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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