Title: Solving fuzzy slack-based measure of efficiency model by possibilistic programming approach

Authors: Mohsen Hekmatnia; Mehdi Allahdadi; Ali Payan

Addresses: Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran ' Mathematics Faculty, University of Sistan and Baluchestan, Zahedan, Iran ' Department of Mathematics, Zahedan Branch, Islamic Azad University, Zahedan, Iran

Abstract: Evaluating performance is an important issue, which is participated in every operation. In the context of performance evaluation, data envelopment analysis (DEA) is a pioneer tool and in the DEA models, slack-based measure of efficiency (SBM) model is the best. Yet in fuzzy slack-based measure of efficiency, there was not a method that can evaluate systems with more than one fuzzy inputs and outputs. By considering this, that estimating all activities with crisp numbers is not available in each activity therefore, there is an acute need for a method which can work on this type of data for evaluating performance of these systems. In this paper, a new method for solving fuzzy slack-based measure of efficiency has been offered. This method is achieved by using the possibilistic programming approach and applied in an evaluating performance project.

Keywords: fuzzy DEA; data envelopment analysis; fuzzy linear programming; fuzzy SBM model; possibilistic programming; slack-based measure; efficiency measures; performance evaluation; fuzzy logic.

DOI: 10.1504/IJOR.2016.078939

International Journal of Operational Research, 2016 Vol.27 No.3, pp.502 - 512

Received: 28 Jan 2014
Accepted: 11 Oct 2014

Published online: 06 Sep 2016 *

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