Research Article
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Year 2015, Volume: 28 Issue: 4, 561 - 569, 16.12.2015

Abstract

References

  • Charnes, A., Cooper, W.W., and Rhodes, E., "Measuring the efficiency of decision making units", Eur. J. Oper. Res., 2(6): 429-444, (1978).
  • Zadeh, L.A., "Fuzzy sets", Information and control, 8(3): 338-353, (1965).
  • Rommelfanger, H., "Fuzzy linear programming and applications", Eur. J. Oper. Res., 92(3): 512-527, (1996).
  • Herrera, F. and Verdegay, J., "Fuzzy sets and operations research: perspectives", Fuzzy Sets and Systems, 90(2): 207-218, (1997).
  • Zimmermann, H.J., "Fuzzy set theory", Wiley Interdisciplinary Reviews: Computational Statistics, 2(3): 317-332, (2010).
  • Hatami-Marbini, A., Emrouznejad, A., and Tavana, M., "A taxonomy and review of the fuzzy data envelopment analysis literature: Two decades in the making", Eur. J. Oper. Res., 214(3): 457-472, (2011).
  • Emrouznejad, A. and Tavana, M., Performance Measurement with Fuzzy Data Envelopment Analysis, Springer, (2014).
  • Popovici, M.-C., "A Survey on Bank Efficiency. Research With Data Envelopment Analysis and Stochastic Frontier Analysis", SEA–Practical Application of Science, (01): 134-142, (2013).
  • Liu, J.S., et al., "A survey of DEA applications", Omega, 41(5): 893-902, (2013).
  • Paradi, J.C. and Zhu, H., "A survey on bank branch efficiency and performance research with data envelopment analysis", Omega, 41(1): 61-79, (2013).
  • Puri, J. and Yadav, S.P., "A fuzzy DEA model with undesirable fuzzy outputs and its application to the banking sector in India", Expert Systems with Applications, 41(14): 6419-6432, (2014).
  • Puri, J. and Yadav, S.P., Fuzzy mix-efficiency in fuzzy data envelopment analysis and its application, in Performance Measurement with Fuzzy Data Envelopment Analysis, Springer, 117-155, (2014).
  • Tavana, M. and Khalili-Damghani, K., "A new two-stage Stackelberg fuzzy data envelopment analysis model", Measurement, 53: 277-296, (2014).
  • Wang, Y.-M. and Chin, K.-S., "Fuzzy data envelopment analysis: A fuzzy expected value approach", Expert Systems with Applications, 38(9): 11678-11685, (2011).
  • Xia, Q., Liang, L., and Yang, F., Integrating Fuzzy Intermediate Factors in Supply Chain Efficiency Evaluation, in Performance Measurement with Fuzzy Data Envelopment Analysis, Springer, 243-254, (2014).
  • Chen, Y.-C., et al., "The analysis of bank business performance and market risk—Applying Fuzzy DEA", Economic Modelling, 32: 225-232, (2013).
  • Bal, H. and Gölcükcü, A., "Data Envelopment Analysis: an application to Turkish banking industry", Mathematical and Computational Applications, 7(1): 65-72, (2002).
  • Kao, C. and Liu, S.-T., "Fuzzy efficiency measures in data envelopment analysis", Fuzzy sets and systems, 113(3): 427-437, (2000).
  • Charnes, A., Data Envelopment Analysis: Theory, Methodology, and Applications: Theory, Methodology and Applications, Springer Science & Business Media, (1994).
  • Cooper, W.W., Seiford, L.M., and Tone, K., Data envelopment analysis: a comprehensive text with models, applications, references and DEA-solver software, Springer Science & Business Media, (2007).
  • Zhu, J., Data Envelopment Analysis: A Handbook of Models and Methods, Springer, (2015).
  • Cook, W.D. and Seiford, L.M., "Data envelopment analysis (DEA) - Thirty years on", Eur. J. Oper. Res., 192(1): 1-17, (2009).
  • Cook, W.D., Seiford, L.M., and Zhu, J., "Data envelopment analysis: The research frontier", Omega, 41(1): 1-2, (2013).
  • Emrouznejad, A., "Advances in data envelopment analysis", Ann. Oper. Res., 214(1): 1-4, (2014).
  • Emrouznejad, A., Parker, B.R., and Tavares, G., "Evaluation of research in efficiency and productivity: A survey and analysis of the first 30 years of scholarly literature in DEA", Socio-Econ. Plann. Sci., 42(3): 151-157, (2008).
  • Emrouznejad, A., Podinovski, V.V., and Thanassoulis, E., "Data envelopment analysis: Theory and applications", J.Oper.Res.Soc., 60(11): 1467-1468, (2009).
  • Lai, Y.-J. and Hwang, C.-L., "Fuzzy mathematical programming(methods and applications)", Lecture notes in economics and mathematical systems, (1992).
  • Zimmermann, H.-J., "Fuzzy programming and linear programming with several objective functions", Fuzzy sets and systems, 1(1): 45-55, (1978).
  • Sengupta, J.K., "A fuzzy systems approach in data envelopment analysis", Computers & Mathematics with Applications, 24(8): 259-266, (1992).
  • Sengupta, J.K., "Measuring efficiency by a fuzzy statistical approach", Fuzzy Sets and Systems, 46(1): 73-80, (1992).
  • Emrouznejad, A., Tavana, M., and Hatami-Marbini, A., "The state of the art in fuzzy data envelopment analysis", in Studies in Fuzziness and Soft Computing, A. Emrouznejad and Tavana, M., Editors. 1-45,(2014).
  • Kao, C., "Interval efficiency measures in data envelopment analysis with imprecise data", Eur. J. Oper. Res., 174(2): 1087-1099, (2006).
  • Zhu, J., "Imprecise data envelopment analysis (IDEA): A review and improvement with an application", Eur. J. Oper. Res., 144(3): 513-529, (2003).
  • Despotis, D.K. and Smirlis, Y.G., "Data envelopment analysis with imprecise data", Eur. J. Oper. Res., 140(1): 24-36, (2002).
  • Wen, M., Uncertain Data Envelopment Analysis, Springer,
  • Dyson, R.G. and Shale, E., "Data envelopment analysis, operational research and uncertainty", J.Oper.Res.Soc., 61(1): 25-34, (2010).
  • Jahed, R., Amirteimoori, A., and Azizi, H., "Performance measurement of decision-making units under uncertainty conditions: An approach based on double frontier analysis", Measurement, 69: 264-279, (2015).
  • Azizi, H., "DEA efficiency analysis: A DEA approach with double frontiers", International Journal of Systems Science, 45(11): 2289-2300, (2014).
  • Inuiguchi, M. and Mizoshita, F., "Qualitative and quantitative data envelopment analysis with interval data", Ann. Oper. Res., 195(1): 189-220, (2012).
  • Wang, Y.-M. and Lan, Y.-X., "Estimating most productive scale size with double frontiers data envelopment analysis", Economic Modelling, 33: 182-186, (2013).
  • Entani, T., Maeda, Y., and Tanaka, H., "Dual models of interval DEA and its extension to interval data", Eur. J. Oper. Res., 136(1): 32-45, (2002).

Investigation of Optimist and Pessimist Situations via DEA with Fuzzified Data: Banking Example

Year 2015, Volume: 28 Issue: 4, 561 - 569, 16.12.2015

Abstract

In this study Dara Envelopment Analysis (DEA) is applied to sample banking data when the data is fuzzified.  In market conditions data is not always obvious and specific due to some reasons. Herewith, it is focused on the fuzziness caused from the diversification of goods and services and examined the applicability of α-cut approach and investigate the optimistic and pessimistic case of DEA according to customers’ and firms’ perspective. Then, an application scheme is proposed when the number of options are excessive for classical methods.

References

  • Charnes, A., Cooper, W.W., and Rhodes, E., "Measuring the efficiency of decision making units", Eur. J. Oper. Res., 2(6): 429-444, (1978).
  • Zadeh, L.A., "Fuzzy sets", Information and control, 8(3): 338-353, (1965).
  • Rommelfanger, H., "Fuzzy linear programming and applications", Eur. J. Oper. Res., 92(3): 512-527, (1996).
  • Herrera, F. and Verdegay, J., "Fuzzy sets and operations research: perspectives", Fuzzy Sets and Systems, 90(2): 207-218, (1997).
  • Zimmermann, H.J., "Fuzzy set theory", Wiley Interdisciplinary Reviews: Computational Statistics, 2(3): 317-332, (2010).
  • Hatami-Marbini, A., Emrouznejad, A., and Tavana, M., "A taxonomy and review of the fuzzy data envelopment analysis literature: Two decades in the making", Eur. J. Oper. Res., 214(3): 457-472, (2011).
  • Emrouznejad, A. and Tavana, M., Performance Measurement with Fuzzy Data Envelopment Analysis, Springer, (2014).
  • Popovici, M.-C., "A Survey on Bank Efficiency. Research With Data Envelopment Analysis and Stochastic Frontier Analysis", SEA–Practical Application of Science, (01): 134-142, (2013).
  • Liu, J.S., et al., "A survey of DEA applications", Omega, 41(5): 893-902, (2013).
  • Paradi, J.C. and Zhu, H., "A survey on bank branch efficiency and performance research with data envelopment analysis", Omega, 41(1): 61-79, (2013).
  • Puri, J. and Yadav, S.P., "A fuzzy DEA model with undesirable fuzzy outputs and its application to the banking sector in India", Expert Systems with Applications, 41(14): 6419-6432, (2014).
  • Puri, J. and Yadav, S.P., Fuzzy mix-efficiency in fuzzy data envelopment analysis and its application, in Performance Measurement with Fuzzy Data Envelopment Analysis, Springer, 117-155, (2014).
  • Tavana, M. and Khalili-Damghani, K., "A new two-stage Stackelberg fuzzy data envelopment analysis model", Measurement, 53: 277-296, (2014).
  • Wang, Y.-M. and Chin, K.-S., "Fuzzy data envelopment analysis: A fuzzy expected value approach", Expert Systems with Applications, 38(9): 11678-11685, (2011).
  • Xia, Q., Liang, L., and Yang, F., Integrating Fuzzy Intermediate Factors in Supply Chain Efficiency Evaluation, in Performance Measurement with Fuzzy Data Envelopment Analysis, Springer, 243-254, (2014).
  • Chen, Y.-C., et al., "The analysis of bank business performance and market risk—Applying Fuzzy DEA", Economic Modelling, 32: 225-232, (2013).
  • Bal, H. and Gölcükcü, A., "Data Envelopment Analysis: an application to Turkish banking industry", Mathematical and Computational Applications, 7(1): 65-72, (2002).
  • Kao, C. and Liu, S.-T., "Fuzzy efficiency measures in data envelopment analysis", Fuzzy sets and systems, 113(3): 427-437, (2000).
  • Charnes, A., Data Envelopment Analysis: Theory, Methodology, and Applications: Theory, Methodology and Applications, Springer Science & Business Media, (1994).
  • Cooper, W.W., Seiford, L.M., and Tone, K., Data envelopment analysis: a comprehensive text with models, applications, references and DEA-solver software, Springer Science & Business Media, (2007).
  • Zhu, J., Data Envelopment Analysis: A Handbook of Models and Methods, Springer, (2015).
  • Cook, W.D. and Seiford, L.M., "Data envelopment analysis (DEA) - Thirty years on", Eur. J. Oper. Res., 192(1): 1-17, (2009).
  • Cook, W.D., Seiford, L.M., and Zhu, J., "Data envelopment analysis: The research frontier", Omega, 41(1): 1-2, (2013).
  • Emrouznejad, A., "Advances in data envelopment analysis", Ann. Oper. Res., 214(1): 1-4, (2014).
  • Emrouznejad, A., Parker, B.R., and Tavares, G., "Evaluation of research in efficiency and productivity: A survey and analysis of the first 30 years of scholarly literature in DEA", Socio-Econ. Plann. Sci., 42(3): 151-157, (2008).
  • Emrouznejad, A., Podinovski, V.V., and Thanassoulis, E., "Data envelopment analysis: Theory and applications", J.Oper.Res.Soc., 60(11): 1467-1468, (2009).
  • Lai, Y.-J. and Hwang, C.-L., "Fuzzy mathematical programming(methods and applications)", Lecture notes in economics and mathematical systems, (1992).
  • Zimmermann, H.-J., "Fuzzy programming and linear programming with several objective functions", Fuzzy sets and systems, 1(1): 45-55, (1978).
  • Sengupta, J.K., "A fuzzy systems approach in data envelopment analysis", Computers & Mathematics with Applications, 24(8): 259-266, (1992).
  • Sengupta, J.K., "Measuring efficiency by a fuzzy statistical approach", Fuzzy Sets and Systems, 46(1): 73-80, (1992).
  • Emrouznejad, A., Tavana, M., and Hatami-Marbini, A., "The state of the art in fuzzy data envelopment analysis", in Studies in Fuzziness and Soft Computing, A. Emrouznejad and Tavana, M., Editors. 1-45,(2014).
  • Kao, C., "Interval efficiency measures in data envelopment analysis with imprecise data", Eur. J. Oper. Res., 174(2): 1087-1099, (2006).
  • Zhu, J., "Imprecise data envelopment analysis (IDEA): A review and improvement with an application", Eur. J. Oper. Res., 144(3): 513-529, (2003).
  • Despotis, D.K. and Smirlis, Y.G., "Data envelopment analysis with imprecise data", Eur. J. Oper. Res., 140(1): 24-36, (2002).
  • Wen, M., Uncertain Data Envelopment Analysis, Springer,
  • Dyson, R.G. and Shale, E., "Data envelopment analysis, operational research and uncertainty", J.Oper.Res.Soc., 61(1): 25-34, (2010).
  • Jahed, R., Amirteimoori, A., and Azizi, H., "Performance measurement of decision-making units under uncertainty conditions: An approach based on double frontier analysis", Measurement, 69: 264-279, (2015).
  • Azizi, H., "DEA efficiency analysis: A DEA approach with double frontiers", International Journal of Systems Science, 45(11): 2289-2300, (2014).
  • Inuiguchi, M. and Mizoshita, F., "Qualitative and quantitative data envelopment analysis with interval data", Ann. Oper. Res., 195(1): 189-220, (2012).
  • Wang, Y.-M. and Lan, Y.-X., "Estimating most productive scale size with double frontiers data envelopment analysis", Economic Modelling, 33: 182-186, (2013).
  • Entani, T., Maeda, Y., and Tanaka, H., "Dual models of interval DEA and its extension to interval data", Eur. J. Oper. Res., 136(1): 32-45, (2002).
There are 41 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Statistics
Authors

Ayhan Gölcükcü

Publication Date December 16, 2015
Published in Issue Year 2015 Volume: 28 Issue: 4

Cite

APA Gölcükcü, A. (2015). Investigation of Optimist and Pessimist Situations via DEA with Fuzzified Data: Banking Example. Gazi University Journal of Science, 28(4), 561-569.
AMA Gölcükcü A. Investigation of Optimist and Pessimist Situations via DEA with Fuzzified Data: Banking Example. Gazi University Journal of Science. December 2015;28(4):561-569.
Chicago Gölcükcü, Ayhan. “Investigation of Optimist and Pessimist Situations via DEA With Fuzzified Data: Banking Example”. Gazi University Journal of Science 28, no. 4 (December 2015): 561-69.
EndNote Gölcükcü A (December 1, 2015) Investigation of Optimist and Pessimist Situations via DEA with Fuzzified Data: Banking Example. Gazi University Journal of Science 28 4 561–569.
IEEE A. Gölcükcü, “Investigation of Optimist and Pessimist Situations via DEA with Fuzzified Data: Banking Example”, Gazi University Journal of Science, vol. 28, no. 4, pp. 561–569, 2015.
ISNAD Gölcükcü, Ayhan. “Investigation of Optimist and Pessimist Situations via DEA With Fuzzified Data: Banking Example”. Gazi University Journal of Science 28/4 (December 2015), 561-569.
JAMA Gölcükcü A. Investigation of Optimist and Pessimist Situations via DEA with Fuzzified Data: Banking Example. Gazi University Journal of Science. 2015;28:561–569.
MLA Gölcükcü, Ayhan. “Investigation of Optimist and Pessimist Situations via DEA With Fuzzified Data: Banking Example”. Gazi University Journal of Science, vol. 28, no. 4, 2015, pp. 561-9.
Vancouver Gölcükcü A. Investigation of Optimist and Pessimist Situations via DEA with Fuzzified Data: Banking Example. Gazi University Journal of Science. 2015;28(4):561-9.