Volume 19, Issue 2 (4-2022)
jor 2022, 19(2): 93-111 |
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Sepehrian Z, Khoshfetrat S, Ebadi S. Weight Derivation in Analytic Hierarchy Process Using Based on Double-Frontier Analysis. jor 2022; 19 (2) :93-111
URL: http://jamlu.liau.ac.ir/article-1-1969-en.html
URL: http://jamlu.liau.ac.ir/article-1-1969-en.html
Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran
Abstract: (1035 Views)
Obtaining the priority vector from a pairwise comparison matrix is an important subject in Analytic Hierarchy Process (AHP) and has been extensively addressed in studies on AHP. Furthermore, research has been conducted on employing DEA models for generating local weights of alternatives in AHP. This research proposes an approach based on double-frontier analysis for determining priorities in AHP. In this approach, two specific DEA models are used to obtain the best local priorities from one or a group of pairwise comparison matrices whether they are entirely consistent or not. The proposed method gives true weights for consistent mutual comparison matrices and yields general, but logical, weights for inconsistent ones. A numerical example is examined to demonstrate the advantages of the presented technique. Finally, a real-world example is presented to illustrate the proposed method.
Keywords: Data Envelopment Analysis, Analytic Hierarchy Process, Double-Frontier Analysis, Multiple Criteria Decision Making
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