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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/9828
Title: A fuzzy DEA model with undesirable fuzzy outputs and its application to the banking sector in India
Authors: Puri J.
Yadav, Shiv Prasad
Published in: Expert Systems with Applications
Abstract: Data envelopment analysis (DEA) is a widely used technique for measuring the relative efficiencies of decision making units (DMUs) with multiple inputs and multiple outputs. However, in real life applications, undesirable outputs may be present in the production process which needs to be minimized. The present study endeavors to propose a DEA model with undesirable outputs and further to extend it in fuzzy environment in view of the fact that input/output data are not always available in exact form in real life problems. We propose a fuzzy DEA model with undesirable fuzzy outputs which can be solved as crisp linear program for each α in (0, 1] using α-cut approach. Further, cross-efficiency technique is applied to increase the discrimination power of the proposed models and to rank the efficient DMUs at every α in (0, 1]. Moreover, for better understanding of the proposed methodology, we present a numerical illustration followed by an application to the banking sector in India. This is the first study which attempts to measure the performance of public sector banks (PuSBs) in India using fuzzy input/output data for the period 2009-2011. The results obtained from the proposed methodology not only depict the impact of undesirable output on the performance of PuSBs but also analyze efficiently the influence of the presence of uncertainty in the data over the efficiency results. The findings show that the efficiency results of many PuSBs vary with the variation in α during the selected period. © 2014 Elsevier Ltd. All rights reserved.
Citation: Expert Systems with Applications (2014), 41(14): 6419-6432
URI: https://doi.org/10.1016/j.eswa.2014.04.013
http://repository.iitr.ac.in/handle/123456789/9828
Issue Date: 2014
Publisher: Elsevier Ltd
Keywords: Banking sector performance
Data envelopment analysis
Fuzzy data envelopment analysis
Rank efficient units
Undesirable outputs
ISSN: 9574174
Author Scopus IDs: 55363261400
57209022284
Author Affiliations: Puri, J., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India
Yadav, S.P., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India
Funding Details: The authors are thankful to the reviewers for their fruitful comments and suggestions. The first author is also thankful to the University Grants Commission (UGC), Government of India, New Delhi for financial assistance.
Corresponding Author: Puri, J.; Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India; email: puri.jolly@gmail.com
Appears in Collections:Journal Publications [MA]

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