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Note on diagonal procedure in analytic hierarchy process

✍ Scribed by Henry Chung-Jen Chao; Kuo-Lung Yang; Peter Chu

Book ID
104045049
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
296 KB
Volume
40
Category
Article
ISSN
0895-7177

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✦ Synopsis

We study the paper of Finan and Hurley published in the International q'Yansactions of Operational Research. They created a diagonal procedure in which their comparison matrix is rank-order consistent. The purpose of this paper is fourfold. First, we point out their procedure contains questionable results and improve on them. Second, we show that their procedure cannot guarantee that the consistency index is always less than 0.1. Third, we prove that their method preserves the predetermined rank order. Fourth, we offer a simpler procedure to derive the numerical weights. Hence, we suggest that decision-makers still use the comparison matrix of Salty. Numerical examples are included to illustrate our findings. ~) 2004 Elsevier Ltd. All rights reserved.

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Rank-based procedures which do not require any assumption on statistical distributions of pairwise comparisons entries are proposed for a few relevant questions arising in the context of Analytic Hierarchy Process. One of them relates to the issues of finding out whether various groups of individual