A fuzzy DEA model with undesirable fuzzy outputs and its application to the banking sector in India

Expert Systems with Applications

Volumn 41, Issue 14, 2014, Pages 6419-6432

  Puri, Jolly ^a   Yadav, Shiv Prasad ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY ROORKEE   (India)

Author keywords

Banking sector performance; Data envelopment analysis; Fuzzy data envelopment analysis; Rank efficient units; Undesirable outputs

Indexed keywords

DATA ENVELOPMENT ANALYSIS; DECISION MAKING; LINEAR PROGRAMMING; UNCERTAINTY ANALYSIS;

BANKING SECTORS; DECISION MAKING UNIT; FUZZY DATA ENVELOPMENT ANALYSIS; MULTIPLE INPUTS AND MULTIPLE OUTPUTS; RANK EFFICIENT UNITS; REAL-LIFE APPLICATIONS; RELATIVE EFFICIENCY; UNDESIRABLE OUTPUTS;

EFFICIENCY;

EID: 84901438370     PISSN: 09574174     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.eswa.2014.04.013     Document Type: Article

References (43)

1. N. Adler, L. Friedman, and Z. Sinuany-Stern Review of ranking methods in the data envelopment analysis context European Journal of Operational Research 140 2002 249 265 (Pubitemid 34435032)
2. L.M.Z. Angiz, A. Emrouznejad, and A. Mustafa Fuzzy data envelopment analysis: A discrete approach Expert Systems with Applications 39 2012 2263 2269
3. G. Bandyopadhyay Impact of non performing assets on strategic banking variables in selected public sector banks in India International Journal of Engineering Science and Technology 5 12 2013 1933 1948
4. V. Charles, M. Kumar, and S.I. Kavitha Measuring the efficiency of assembled printed circuit boards with undesirable outputs using data envelopment analysis International Journal of Production Economics 136 2012 194 206
5. S.M. Chen Fuzzy system reliability analysis using fuzzy number arithmetic operations Fuzzy Sets and Systems 66 1994 31 38
6. W.W. Cooper, L.M. Seiford, and K. Tone Data envelopment analysis: A comprehensive text with models, applications, references and DEA-solver software 2nd ed. 2007 Springer New York
7. R. Färe, and S. Grosskopf Modeling undesirable factors in efficiency evaluation: Comment European Journal of Operational Research 157 2004 242 245
8. D. Guo, and J. Wu A complete ranking of DMUs with undesirable outputs using restrictions in DEA models Mathematical and Computer Modelling 58 5-6 2013 1102 1109
9. A. Hatami-Marbini, A. Emrouznejad, and M. Tavana A taxonomy and review of the fuzzy data envelopment analysis literature: Two decades in the making European Journal of Operational Research 214 2011 457 472
10. D.B. Humphrey Costs and scale economies in bank intermediation R.C. Aspinwall, R.A. Eisenbeis, Handbook for banking strategy 1985 John Wiley and Sons New York 745 783
11. G.R. Jahanshahloo, F.H. Lofti, M. Khanmohammadi, M. Kazemimanesh, and V. Rezaie Ranking of units by positive ideal DMU with common weights Expert Systems with Applications 37 2010 7483 7488
12. G.R. Jahanshahloo, F.H. Lofti, R. Maddahi, and Y. Jafari Efficiency and benchmarking in the presence of undesirable (bad) outputs: A DEA approach International Journal of Applied Mathematical Research 1 2 2012 178 188
13. G.R. Jahanshahloo, F.H. Lofti, N. Shoja, G. Tohidi, and S. Razavyan Undesirable inputs and outputs in DEA models Applied Mathematics and Computation 169 2005 917 925 (Pubitemid 41394330)
14. C. Kao, and S.T. Liu Fuzzy efficiency measures in data envelopment analysis Fuzzy Sets and Systems 113 2000 427 437
15. G. Kaur, and P. Kaur Risk, efficiency and return of PSBs in India Global Journal of Management and Business Research Finance 13 7 2013 17 26
16. P.J. Korhonen, and M. Luptacik Eco-efficiency analysis of power plants: An extension of data envelopment analysis European Journal of Operational Research 154 2004 437 446
17. C.V. Krishna Causes of non-performing assets in public sector banks Economic Research 17 1 2004 16 30
18. H. Leleu Shadow pricing of undesirable outputs in nonparametric analysis European Journal of Operational Research 231 2013 474 480
19. L. Liang, Y. Li, and S. Li Increasing the discriminatory power of DEA in the presence of the undesirable outputs and large dimensionality of data sets with PCA Expert Systems with Applications 36 2009 5895 5899
20. W.B. Liu, W. Meng, X.X. Li, and D.Q. Zhang DEA models with undesirable inputs and outputs Annals of Operations Research 173 1 2010 177 194
21. J. Puri, and S.P. Yadav A concept of fuzzy input mix-efficiency in fuzzy DEA and its application in banking sector Expert Systems with Applications 40 2013 1437 1450
22. J. Puri, and S.P. Yadav Performance evaluation of public and private sector banks in India using DEA approach International Journal of Operational Research 18 1 2013 91 121
23. J. Puri, and S.P. Yadav Fuzzy mix-efficiency in fuzzy data envelopment analysis and its application A. Emrouznejad, M. Tavana, Performance measurement with fuzzy data envelopment analysis, studies in fuzziness and soft computing 2014 Springer-Verlag Berlin Heidelberg New York 117 155 309
24. N.A. Ramli, and S. Munisamy Modeling undesirable factors in efficiency measurement using data envelopment analysis: A review Journal of Sustainability Science and Management 8 1 2013 126 135
25. Ranjan, R.;& Dhal, S. (2003). Non-performing loans and terms of credit of public sector banks in India: An empirical assessment. Occasional Papers, Reserve Bank of India Publication, Mumbai, winter, 24 (3), 81-121.
26. R. Rawlin, S.M. Sharan, and P.B. Lakshmipathy Modeling NPA of a midsized nationalized bank as a function of advances European Journal of Business and Management 4 5 2012 78 89
27. RBI (2009). Reserve bank of India: Statistical tables relating to banks in India, 2008-2009. Available from: < http://rbidocs.rbi.org.in/rdocs/ Publications/PDFs/STRB200809-Full.pdf >.
28. RBI (2011a). Reserve bank of India: Statistical tables relating to banks in India, 2010-2011. Available from: < http://rbidocs.rbi.org.in/rdocs/ Publications/PDFs/FSTR141111.pdf >.
29. RBI (2011b). Reserve bank of India: Master circular - prudential norms on income recognition, asset classification and provisioning pertaining to advances, 2010-2011. Available from: < http://www.rbi.org.in/scripts/BS- ViewMasCirculardetails.aspx?id=5781#L36 >.
30. S. Saati, A. Memariani, and G.R. Jahanshahloo Efficiency analysis and ranking of DMUs with fuzzy data Fuzzy Optimization and Decision Making 1 2002 255 267
31. M. Saravana, C.S. Reddy, and T. Subramanyam A DEA model to identify and assess the risk of Indian commercial banks using non-performing assets as undesirable outputs International Journal of Marketing, Financial Services and Management Research 1 10 2012 41 67
32. H. Scheel Undesirable outputs in efficiency valuations European Journal of Operational Research 132 2 2001 400 410 (Pubitemid 32385029)
33. L. Seiford, and J. Zhu Modeling undesirable factors in efficiency evaluation European Journal of Operational Research 142 1 2002 16 20 (Pubitemid 35171675)
34. T.R. Sexton, R.H. Silkman, and A.J. Hogan Data envelopment analysis: Critique and extensions R.H. Silkman, Measuring efficiency: An assessment of data envelopment analysis 1986 Jossey-Bass San Francisco 73 105
35. R.K. Shiraz, V. Charles, and L. Jalalzadeh Fuzzy rough DEA model: A possibility and expected value approaches Expert Systems with Applications 41 2014 434 444
36. K.K. Siraj, and P.S. Pillai Efficiency of NPA management in Indian SCBs - A bank-group wise exploratory study Journal of Applied Finance and Banking 3 2 2013 123 137
37. T. Subramanyam, and C.S. Reddy Measuring the risk efficiency in Indian commercial banking - A DEA approach East-West Journal of Economics and Business 11 1 2008 76 104
38. Y.M. Wang, and K.S. Chin Fuzzy data envelopment analysis: A fuzzy expected value approach Expert Systems with Applications 38 2011 11678 11685
39. Y.M. Wang, Y. Luo, and L. Liang Fuzzy data envelopment analysis based upon fuzzy arithmetic with an application to performance assessment of manufacturing enterprises Expert Systems with Applications 36 3 2009 5205 5211
40. J. Wu, J. Sun, L. Liang, and Y. Zha Determination of weights for ultimate cross efficiency using Shannon entropy Expert Systems with Applications 38 2011 5162 5165
41. H. Yang, and M. Pollitt Incorporating both undesirable outputs and uncontrollable variables into DEA: The performance of Chinese coal-fired plants European Journal of Operational Research 197 2009 1095 1105
42. S. You, and H. Yan A new approach in modelling undesirable output in DEA model Journal of the Operational Research Society 62 2011 2146 2156
43. H.J. Zimmermann Fuzzy set theory and its applications 2nd ed. 1991 Kluwer-Nijhoff Boston