Title: A new DEA ranking system based on interval cross efficiency and interval analytic hierarchy process methods

Authors: Dariush Akbarian

Addresses: Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran

Abstract: The aim of this paper is to present a novel approach for ranking all decision maker units (DMUs) using interval cross-efficiency (ICE) and interval analytic hierarchy process (IAHP) methods. This approach includes two basic stages. In the first stage, the interval cross-efficiency values of each DMU are specified using DEA models. In the second stage, the interval pairwise comparison matrix generated in the first stage is utilised to rank the units (DMUs) via the one step process of interval AHP (i.e., the AHP model with interval decision maker judgements). Two numerical examples are presented in this paper and the present approach is compared with some other approaches.

Keywords: data envelopment analysis; DEA; interval analytical hierarchy process; IAHP; interval cross efficiency; ICE; ranking.

DOI: 10.1504/IJMDM.2020.108641

International Journal of Management and Decision Making, 2020 Vol.19 No.3, pp.344 - 363

Received: 18 Apr 2019
Accepted: 18 Jun 2019

Published online: 23 Jul 2020 *

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