A multi-objective slack based measure of efficiency model for weight derivation in the analytic hierarchy process

Abstract

The DEAHP which is a Data Envelopment Analysis (DEA) model for weight derivation in the Analytic Hierarchy Process (AHP), has been found to have some fundamental drawbacks. The principal drawback of DEAHP is that it is only powerful in weight generation for completely consistent pairwise comparison matrices but it may generate illogical and counterintuitive weights for matrices with acceptable consistency ratio. In this paper, a multi objective non-radial DEA model is proposed for weight derivation and aggregation in AHP. It will be shown that the proposed model generates true weights for completely consistent pairwise comparison matrices in addition to producing logical weights for matrices with satisfactory consistency ratio. The proposed model is applied in a hierarchical structure in order to verify its performance in weight generation and aggregation. Finally, the local weights vector for a large scale pairwise comparison matrix is obtained. © 2011 Asian Network for Scientific Information.