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Network Fuzzy Data Envelopment Analysis

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Performance Measurement with Fuzzy Data Envelopment Analysis

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 309))

Abstract

In this chapter a general approach to handle fuzzy data when the units under analysis are formed by a network of processes is presented. Conventional DEA assumes a single-process that consumes all the different inputs and produces all the different outputs. Network DEA, on the contrary, considers different interrelated processes, each one with its own inputs, its own outputs and, very important, its own technology. This allows a more fine-grained analysis although at the expense of requiring more data. Conventional Network DEA approaches assume crisp data although recently two proposals have been made that can process fuzzy data in the special cases of a serial two-stage system and of parallel production processes. There is, however, a need to deal with general networks of processes which can have fuzzy input or output data. In this chapter, several Fuzzy DEA approaches are extended to Network DEA. The resulting models are illustrated on a dataset from the literature.

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References

  1. Alfonso, E., Kalenatic, D., López, C.: Modeling the synergy level in a vertical collaborative supply chain through the IMP interaction model and DEA framework. Ann. Oper. Res. 181, 813–827 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  2. Avkiran, N.K.: Opening the black box of efficiency analysis: an illustration with UAE banks. Omega 37, 930–941 (2009)

    Article  Google Scholar 

  3. Färe, R., Grosskopf, S.: Productivity and intermediate products: a frontier approach. Econ. Lett. 50, 65–70 (1996)

    Article  Google Scholar 

  4. Färe, R., Grosskopf, S.: Network DEA. Socio-Econ. Plan. Sci. 34, 35–49 (2000)

    Article  Google Scholar 

  5. Chen, Y., Cook, W.D., Li, N., Zhu, J.: Additive efficiency decomposition in two-stage DEA. Eur. J. Oper. Res. 196, 1170–1176 (2009)

    Article  MATH  Google Scholar 

  6. Cook, W.D., Zhu, J, Bi, G., Yang, F.: Network DEA: Additive efficiency decomposition. Eur. J. Oper. Res. 207, 1122–1129 (2010)

    Google Scholar 

  7. Fukuyama, H., Weber, W.L.: A slacks-based inefficiency measure for a two-stage system with bad outputs. Omega 38(5), 398–409 (2010)

    Article  Google Scholar 

  8. Guan, J., Chen, K.: Measuring the innovation production process: a cross-region empirical study of China’s high-tech innovations. Technovation 30, 348–358 (2010)

    Article  MathSciNet  Google Scholar 

  9. Hatami-Marbini, A., Emrouznejad, A., Tavana, M.: A taxonomy and review of the fuzzy data envelopment analysis literature: two decades in the making. Eur. J. Oper. Res. 214, 457–472 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  10. Kao, C.: Efficiency decomposition in network data envelopment analysis: a relational model. Eur. J. Oper. Res. 192, 949–962 (2009)

    Article  MATH  Google Scholar 

  11. Kao, C.: Efficiency measurement for parallel production systems. Eur. J. Oper. Res. 196, 1107–1112 (2009)

    Article  MATH  Google Scholar 

  12. Kao, C., Hwang, S.N.: Efficiency decomposition in two-stage data envelopment analysis: an application to non-life insurance companies in Taiwan. Eur. J. Oper. Res. 185, 418–429 (2008)

    Article  MATH  Google Scholar 

  13. Kao, C., Hwang, S.N.: Efficiency measurement for network systems: IT impact on firm performance. Decis. Support Syst. 48(3), 437–446 (2010)

    Article  Google Scholar 

  14. Kao, C., Lin, P.H.: Efficiency of parallel production systems with fuzzy data. Fuzzy Sets Syst. 198, 83–98 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  15. Kao, C., Liu, S.T.: Fuzzy efficiency measures in data envelopment analysis. Fuzzy Sets Syst. 113, 427–437 (2000)

    Article  MATH  Google Scholar 

  16. Kao, C., Liu, S.T.: Efficiencies of two-stage systems with fuzzy data. Fuzzy Sets Syst. 176, 20–35 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  17. Lewis, H.F., Sexton, T.R.: Network DEA: efficiency analysis of organizations with complex internal structure. Comput. Oper. Res. 31, 1365–1410 (2004)

    Article  MATH  Google Scholar 

  18. Lewis, H.F., Sexton, T.R.: Data envelopment analysis with reverse inputs and outputs. J. Prod. Anal. 21, 113–132 (2004)

    Article  Google Scholar 

  19. Liu, S.T., Wang, R.T.: Efficiency measures of PCB manufacturing firms using relational two-stage data envelopment analysis. Expert Syst. Appl. 36, 4935–4939 (2009)

    Article  Google Scholar 

  20. Lozano, S.: Scale and cost efficiency analysis of networks of processes. Expert Syst. Appl. 38(6), 6612–6617 (2011)

    Article  MathSciNet  Google Scholar 

  21. Moreno, P., Lozano, S. (in press) A network DEA assessment of team efficiency in the NBA. Ann. Oper. Res. doi:10.1007/s10479-012-1074-9

  22. Rayeni, M.M., Saljooghi, F.H.: Network data envelopment analysis model for estimating efficiency and productivity in universities. J. Comput. Sci. 6(11), 1252–1257 (2010)

    Article  Google Scholar 

  23. Saati, S., Memariani, A., Jahanshahloo, G.R.: Efficiency analysis and ranking of DMUs with fuzzy data. Fuzzy Optim. Decis. Making 1, 255–267 (2002)

    Article  MATH  Google Scholar 

  24. Sexton, T.R., Lewis, H.F.: Two-stage DEA: an application to major league baseball. J. Prod. Anal. 19, 227–249 (2003)

    Article  Google Scholar 

  25. Tone, K., Tsutsui, M.: Network DEA: a slacks-based measure approach. Eur. J. Oper. Res. 197, 243–252 (2009)

    Article  MATH  Google Scholar 

  26. Wang, Y.M., Greatbanks, R., Yang, J.B.: Interval efficiency assessment using data envelopment analysis. Fuzzy Sets Syst. 153, 347–370 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  27. Yu, M.M.: Assessment of airport performance using the SBM-NDEA model. Omega 38, 440–452 (2010)

    Article  Google Scholar 

  28. Yu, M.M., Lee, B.C.Y.: Efficiency and effectiveness of service business: evidence from international tourist hotels in Taiwan. Tour. Manage. 30, 571–580 (2009)

    Article  Google Scholar 

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Acknowledgments

This research was carried out with the financial support of the Spanish Ministry of Science grant DPI2010-16201, and FEDER.

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Correspondence to Sebastián Lozano .

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Appendix

Appendix

See Tables A.1, A.2, and A.3.

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Lozano, S., Moreno, P. (2014). Network Fuzzy Data Envelopment Analysis. In: Emrouznejad, A., Tavana, M. (eds) Performance Measurement with Fuzzy Data Envelopment Analysis. Studies in Fuzziness and Soft Computing, vol 309. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41372-8_10

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  • DOI: https://doi.org/10.1007/978-3-642-41372-8_10

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