Title: Sensitivity and stability analysis in two-stage DEA models with fuzzy data

Authors: Kaveh Khalili-Damghani; Behnam Taghavifard

Addresses: Department of Industrial Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran ' Department of Industrial Engineering, College of Engineering, University of Tehran, Pardis No. 2, Kargar Ave., Jalal-Al-Ahmad St., Tehran, Iran

Abstract: In this paper, a fuzzy two-stage (FTSDEA) has been proposed. Each decision-making unit (DMU) has been supposed to make up two serially connected sub-DMUs. The uncertainty of measures has been represented using linguistic terms parameterised through fuzzy sets. Mathematical modelling of proposed FTSDEA results in a great reduction of computational efforts. Then, a sensitivity analysis has also been supplied for the proposed FTSDEA to determine the radius of stability within which data variations in a fuzzy environment will not alter a DMU's, sub-DMU's classification from efficient to inefficient status or vice versa. A set of efficient models has been proposed to this aim in a fuzzy environment. An illustrative example has been supplied to demonstrate the applicability of the proposed method.

Keywords: fuzzy DEA; two-stage DEA; data envelopment analysis; sensitivity analysis; stability analysis; fuzzy data; fuzzy logic; fuzzy sets; mathematical modelling; decision making units; DMUs.

DOI: 10.1504/IJOR.2013.053186

International Journal of Operational Research, 2013 Vol.17 No.1, pp.1 - 37

Published online: 29 Jul 2014 *

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