Abstract
The super-efficiency DEA model resolves the ranking problem effectively, which is received much concern. The super-efficiency DEA model is built in this paper, in which inputs and outputs are both fuzzy numbers. The fuzzy super-efficiency DEA model is turned into a classical super-efficiency DEA model according to the structured element-based weighted ordering rules, expanded the scope of use of super-efficiency DEA model. Finally, an example is given to illustrate it.
Supported by the Social Science Planning Project in Liaoning Province under Grant L08BJY016, and the Department of Education Fund of Liaoning Province under Grant 2009A342.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Andersen, P., Petersen, N.C.: A procedure for ranking efficient units in data envelopment analysis. Management science 39(10), 1261–1294 (1993)
Guo, P., Tanaka, H.: Fuzzy DEA: a perceptual evaluation method. Fuzzy sets and systems 119, 149–160 (2001)
Kao, C., Liu, S.T.: Fuzzy efficiency measures in data envelopment analysis. Fuzzy Sets and Systems 119, 149–160 (2000)
Slemani-damaneh, M., Jahanshahloo, G.R.: Computation and theoretical pitfalls in some current performance measurement techniques and a new approach. Applied mathematic and computation 181, 1199–1207 (2006)
Wu, W.-j., Chen, Y.: Solving an Estimation Problem on Input or Output with Fuzzy Number by DEA. Systems Engineering-Theory Methodology Applications 9(4), 331–334 (2000)
Zhang, M.-q., Li, G.-j., Shang, W.-j.: A Fuzzy DEA Model Based on Campos Index. Systems Engineering-Theory & Practice (4), 41–48 (2004)
Huang, C.-f., Liao, L.-c.: The Relative Efficiency Evaluation of DMUs in Fuzzy Environments. Fuzzy Systems and Mathematics 20(5), 77–83 (2006)
Liang, L., Jie, W.: An Improving Completely Ranking Approach for Interval DEA. Systems Engineering 24(1), 107–110 (2006)
Wang, M.-q., Liang, L., Li, Y.-j.: Fuzzy Super-Efficiency DEA Model. Chinese Journal of Management Science 17(2), 117–124 (2009)
Guo, S.-Z.: Mathematical Principles of Fuzzy Analysis Based on Fuzzy Structured Element. Northeastern University Press, ShenYang (2004)
Yang, Z.-y., Qin, F.: ERP System Selection Method Based on Fuzzy DEA. Fuzzy Systems and Mathematics 23(1), 41–45 (2009)
Li, R.-j.: The Theory and Applications of Fuzzy Multi-criteria Decision Making, pp. 16–57. Science Press, Beijing (2002)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Yang, J., Zhao, H. (2010). Fuzzy Super-Efficiency DEA Model and Its Application: Based on Fuzzy Structured Element. In: Cao, By., Wang, Gj., Guo, Sz., Chen, Sl. (eds) Fuzzy Information and Engineering 2010. Advances in Intelligent and Soft Computing, vol 78. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14880-4_36
Download citation
DOI: https://doi.org/10.1007/978-3-642-14880-4_36
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-14879-8
Online ISBN: 978-3-642-14880-4
eBook Packages: EngineeringEngineering (R0)