A new approach for weight derivation using data envelopment analysis in the analytic hierarchy process

A new approach for weight derivation using data envelopment analysis in the analytic hierarchy process

0.00 Avg rating0 Votes
Article ID: iaor20116160
Volume: 62
Issue: 8
Start Page Number: 1585
End Page Number: 1595
Publication Date: Aug 2011
Journal: Journal of the Operational Research Society
Authors: ,
Keywords: statistics: data envelopment analysis, decision
Abstract:

Recently, some researches have been carried out in the context of using data envelopment analysis (DEA) models to generate local weights of alternatives from pairwise comparison matrices used in the analytic hierarchy process (AHP). One of these models is the DEAHP. The main drawback of the DEAHP is that it generates counter‐intuitive priority vectors for inconsistent pairwise comparison matrices. To overcome the drawbacks of the DEAHP, this paper proposes a new procedure entitled Revised DEAHP, and it will be shown that this procedure generates logical weights that are consistent with the decision maker's judgements and is sensitive to changes in data of the pairwise comparison matrices. Through a numerical example, it will be shown that the Revised DEAHP not only produces correct weights for inconsistent matrices but also does not suffer from rank reversal when an irrelevant alternative is added or removed.

Reviews

Required fields are marked *. Your email address will not be published.