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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
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)
Avkiran, N.K.: Opening the black box of efficiency analysis: an illustration with UAE banks. Omega 37, 930–941 (2009)
Färe, R., Grosskopf, S.: Productivity and intermediate products: a frontier approach. Econ. Lett. 50, 65–70 (1996)
Färe, R., Grosskopf, S.: Network DEA. Socio-Econ. Plan. Sci. 34, 35–49 (2000)
Chen, Y., Cook, W.D., Li, N., Zhu, J.: Additive efficiency decomposition in two-stage DEA. Eur. J. Oper. Res. 196, 1170–1176 (2009)
Cook, W.D., Zhu, J, Bi, G., Yang, F.: Network DEA: Additive efficiency decomposition. Eur. J. Oper. Res. 207, 1122–1129 (2010)
Fukuyama, H., Weber, W.L.: A slacks-based inefficiency measure for a two-stage system with bad outputs. Omega 38(5), 398–409 (2010)
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)
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)
Kao, C.: Efficiency decomposition in network data envelopment analysis: a relational model. Eur. J. Oper. Res. 192, 949–962 (2009)
Kao, C.: Efficiency measurement for parallel production systems. Eur. J. Oper. Res. 196, 1107–1112 (2009)
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)
Kao, C., Hwang, S.N.: Efficiency measurement for network systems: IT impact on firm performance. Decis. Support Syst. 48(3), 437–446 (2010)
Kao, C., Lin, P.H.: Efficiency of parallel production systems with fuzzy data. Fuzzy Sets Syst. 198, 83–98 (2012)
Kao, C., Liu, S.T.: Fuzzy efficiency measures in data envelopment analysis. Fuzzy Sets Syst. 113, 427–437 (2000)
Kao, C., Liu, S.T.: Efficiencies of two-stage systems with fuzzy data. Fuzzy Sets Syst. 176, 20–35 (2011)
Lewis, H.F., Sexton, T.R.: Network DEA: efficiency analysis of organizations with complex internal structure. Comput. Oper. Res. 31, 1365–1410 (2004)
Lewis, H.F., Sexton, T.R.: Data envelopment analysis with reverse inputs and outputs. J. Prod. Anal. 21, 113–132 (2004)
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)
Lozano, S.: Scale and cost efficiency analysis of networks of processes. Expert Syst. Appl. 38(6), 6612–6617 (2011)
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
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)
Saati, S., Memariani, A., Jahanshahloo, G.R.: Efficiency analysis and ranking of DMUs with fuzzy data. Fuzzy Optim. Decis. Making 1, 255–267 (2002)
Sexton, T.R., Lewis, H.F.: Two-stage DEA: an application to major league baseball. J. Prod. Anal. 19, 227–249 (2003)
Tone, K., Tsutsui, M.: Network DEA: a slacks-based measure approach. Eur. J. Oper. Res. 197, 243–252 (2009)
Wang, Y.M., Greatbanks, R., Yang, J.B.: Interval efficiency assessment using data envelopment analysis. Fuzzy Sets Syst. 153, 347–370 (2005)
Yu, M.M.: Assessment of airport performance using the SBM-NDEA model. Omega 38, 440–452 (2010)
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)
Acknowledgments
This research was carried out with the financial support of the Spanish Ministry of Science grant DPI2010-16201, and FEDER.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-3-642-41372-8_10
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-41371-1
Online ISBN: 978-3-642-41372-8
eBook Packages: EngineeringEngineering (R0)