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Title: Intuitionistic fuzzy data envelopment analysis: An application to the banking sector in India
Authors: Puri J.
Yadav, Shiv Prasad
Published in: Expert Systems with Applications
Abstract: Intuitionistic fuzzy set (IFS) is an extension of fuzzy set and an approach to define a fuzzy set where available information is not sufficient to define an imprecise concept by means of a conventional fuzzy set. The existing fuzzy DEA (FDEA) models for measuring relative fuzzy efficiencies of decision making units (DMUs) are limited to fuzzy input/output data. However, in real life applications, some inputs and outputs of subjective, linguistic and vague forms may possess intuitionistic fuzzy essence instead of fuzziness. Therefore, in the present study, we extend FDEA to intuitionistic fuzzy DEA (IFDEA) in which the input/output data are represented by intuitionistic fuzzy numbers (IFNs), in particular triangular IFNs (TIFNs). This is the first study in analysing optimistic and pessimistic efficiencies with intuitionistic fuzzy input/output data in DEA. In this study, we develop models to measure optimistic and pessimistic efficiencies of each DMU in intuitionistic fuzzy environment (IFE). By using super-efficiency technique, we develop algorithms to obtain the complete ranking of the DMUs when optimistic and pessimistic situations are considered separately. Further, to rank the DMUs when both optimistic and pessimistic situations are taken simultaneously as hybrid approach, we propose two alternate ranking methods based on levels of inefficiencies and efficiencies respectively. To address the overall performance using optimistic and pessimistic situations together in IFEs, we propose a hybrid IFDEA performance decision model. To validate the proposed methodology and proposed ranking methods, we illustrate different numerical examples and then compare the results with an existing ranking approach based on geometric average efficiency index. Moreover, we present an application of the proposed approach to the banking sector in which two inputs, namely, labour and operating expenses possess intuitionistic fuzzy essence at branch level, and are represented as TIFNs. © 2015 Elsevier Ltd. All rights reserved.
Citation: Expert Systems with Applications (2015), 42(11): 4982-4998
Issue Date: 2015
Publisher: Elsevier Ltd
Keywords: Bank branch efficiency
Fuzzy DEA
Intuitionistic fuzzy DEA
Optimistic and pessimistic performance
Ranking methods
ISSN: 9574174
Author Scopus IDs: 55363261400
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 anonymous reviewers for their constructive comments and suggestions that helped us in improving the paper significantly. The first author is also thankful to the University Grants Commission (UGC), Government of India, New Delhi for financial assistance. The authors are thankful to Ms. M.A. Malini, Manager (Systems), State Bank of Patiala, IT Services Department, Head Office, Patiala, India for providing the valuable data of the Bank branches.
Corresponding Author: Puri, J.; Department of Mathematics, Indian Institute of Technology RoorkeeIndia
Appears in Collections:Journal Publications [MA]

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