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Title: A concept of fuzzy input mix-efficiency in fuzzy DEA and its application in banking sector
Authors: Puri J.
Yadav, Shiv Prasad
Published in: Expert Systems with Applications
Abstract: Data envelopment analysis (DEA) is a linear programming based non-parametric technique for evaluating the relative efficiency of homogeneous decision making units (DMUs) on the basis of multiple inputs and multiple outputs. There exist radial and non-radial models in DEA. Radial models only deal with proportional changes of inputs/outputs and neglect the input/output slacks. On the other hand, non-radial models directly deal with the input/output slacks. The slack-based measure (SBM) model is a non-radial model in which the SBM efficiency can be decomposed into radial, scale and mix-efficiency. The mix-efficiency is a measure to estimate how well the set of inputs are used (or outputs are produced) together. The conventional mix-efficiency measure requires crisp data which may not always be available in real world applications. In real world problems, data may be imprecise or fuzzy. In this paper, we propose (i) a concept of fuzzy input mix-efficiency and evaluate the fuzzy input mix-efficiency using α-cut approach, (ii) a fuzzy correlation coefficient method using expected value approach which calculates the expected intervals and expected values of fuzzy correlation coefficients between fuzzy inputs and fuzzy outputs, and (iii) a new method for ranking the DMUs on the basis of fuzzy input mix-efficiency. The proposed approaches are then applied to the State Bank of Patiala in the Punjab state of India with districts as the DMUs. © 2012 Elsevier Ltd. All rights reserved.
Citation: Expert Systems with Applications (2013), 40(5): 1437-1450
Issue Date: 2013
Keywords: Banking performance evaluation
Fuzzy CCR input efficiency
Fuzzy correlation coefficient
Fuzzy data envelopment analysis
Fuzzy input mix-efficiency
Fuzzy ranking approach
Fuzzy SBM input efficiency
ISSN: 9574174
Author Scopus IDs: 55363261400
Author Affiliations: Puri, J., Department of Mathematics, I.I.T. Roorkee, Roorkee 247667, India
Yadav, S.P., Department of Mathematics, I.I.T. Roorkee, Roorkee 247667, India
Funding Details: The first author is thankful to the University Grants Commission (UGC), Government of India for financial assistance. The authors are thankful to Ms. M. A. Malini, Manager (Systems), State Bank of Patiala, IT Services Deptt, H. O., Patiala, India for providing the relevant data of the bank.
Corresponding Author: Puri, J.; Department of Mathematics, I.I.T. Roorkee, Roorkee 247667, India; email:
Appears in Collections:Journal Publications [MA]

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