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Some alternative models for DEA cross-efficiency evaluation

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  • Wang, Ying-Ming
  • Chin, Kwai-Sang

Abstract

Cross-efficiency evaluation is an effective method for ranking decision-making units (DMUs) in data envelopment analysis (DEA) and can be performed with different formulations (aggressive or benevolent), secondary goals, and models. This paper proposes some new alternative models for DEA cross-efficiency evaluation to provide more methodological options for the decision maker (DM) to choose from. The proposed new alternative models are illustrated with two numerical examples. The results are believed to be more realistic than those obtained by the alternative secondary goals suggested by Liang et al. [Liang, L., Wu, J., Cook, W.D. and Zhu, J., 2008a. Alternative secondary goals in DEA cross-efficiency evaluation. International Journal of Production Economics 113 (2), 1025-1030].

Suggested Citation

  • Wang, Ying-Ming & Chin, Kwai-Sang, 2010. "Some alternative models for DEA cross-efficiency evaluation," International Journal of Production Economics, Elsevier, vol. 128(1), pages 332-338, November.
  • Handle: RePEc:eee:proeco:v:128:y:2010:i:1:p:332-338
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    References listed on IDEAS

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    Cited by:

    1. Galagedera, Don U.A., 2014. "Modeling risk concerns and returns preferences in performance appraisal: An application to global equity markets," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 33(C), pages 400-416.
    2. Mohsen Afsharian & Mohammadreza Alirezaee & Peter Reichling, 2012. "The master Malmquist index measurement using DEA-based weighted average efficiency," International Journal of Data Analysis Techniques and Strategies, Inderscience Enterprises Ltd, vol. 4(1), pages 21-42.
    3. Ramón, Nuria & Ruiz, José L. & Sirvent, Inmaculada, 2011. "Reducing differences between profiles of weights: A "peer-restricted" cross-efficiency evaluation," Omega, Elsevier, vol. 39(6), pages 634-641, December.
    4. Van Puyenbroeck, Tom & Rogge, Nicky, 2017. "Geometric mean quantity index numbers with Benefit-of-the-Doubt weights," European Journal of Operational Research, Elsevier, vol. 256(3), pages 1004-1014.
    5. Lee, Ki-Hoon & Farzipoor Saen, Reza, 2012. "Measuring corporate sustainability management: A data envelopment analysis approach," International Journal of Production Economics, Elsevier, vol. 140(1), pages 219-226.
    6. Han, Yongming & Geng, Zhiqiang & Zhu, Qunxiong & Qu, Yixin, 2015. "Energy efficiency analysis method based on fuzzy DEA cross-model for ethylene production systems in chemical industry," Energy, Elsevier, vol. 83(C), pages 685-695.
    7. Alcaraz, Javier & Ramón, Nuria & Ruiz, José L. & Sirvent, Inmaculada, 2013. "Ranking ranges in cross-efficiency evaluations," European Journal of Operational Research, Elsevier, vol. 226(3), pages 516-521.
    8. Ruiz, José L., 2013. "Cross-efficiency evaluation with directional distance functions," European Journal of Operational Research, Elsevier, vol. 228(1), pages 181-189.
    9. Jie Wu & Junfei Chu & Qingyuan Zhu & Yongjun Li & Liang Liang, 2016. "Determining common weights in data envelopment analysis based on the satisfaction degree," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(12), pages 1446-1458, December.
    10. José L. Ruiz & Inmaculada Sirvent, 2017. "Fuzzy cross-efficiency evaluation: a possibility approach," Fuzzy Optimization and Decision Making, Springer, vol. 16(1), pages 111-126, March.
    11. repec:pal:jorsoc:v:68:y:2017:i:4:d:10.1057_s41274-016-0168-1 is not listed on IDEAS
    12. Wu, Jie & Chu, Junfei & Sun, Jiasen & Zhu, Qingyuan, 2016. "DEA cross-efficiency evaluation based on Pareto improvement," European Journal of Operational Research, Elsevier, vol. 248(2), pages 571-579.
    13. repec:spr:annopr:v:259:y:2017:i:1:d:10.1007_s10479-017-2524-1 is not listed on IDEAS
    14. Wang, Ying-Ming & Chin, Kwai-Sang, 2011. "The use of OWA operator weights for cross-efficiency aggregation," Omega, Elsevier, vol. 39(5), pages 493-503, October.
    15. repec:eee:jomega:v:74:y:2018:i:c:p:82-91 is not listed on IDEAS
    16. Ruiz, José L. & Sirvent, Inmaculada, 2012. "On the DEA total weight flexibility and the aggregation in cross-efficiency evaluations," European Journal of Operational Research, Elsevier, vol. 223(3), pages 732-738.
    17. Yang, Feng & Ang, Sheng & Xia, Qiong & Yang, Chenchen, 2012. "Ranking DMUs by using interval DEA cross efficiency matrix with acceptability analysis," European Journal of Operational Research, Elsevier, vol. 223(2), pages 483-488.
    18. Soltanifar, Mehdi & Shahghobadi, Saeid, 2013. "Selecting a benevolent secondary goal model in data envelopment analysis cross-efficiency evaluation by a voting model," Socio-Economic Planning Sciences, Elsevier, vol. 47(1), pages 65-74.
    19. repec:eee:ejores:v:267:y:2018:i:1:p:381-392 is not listed on IDEAS
    20. Tüselmann, Heinz & Sinkovics, Rudolf R. & Pishchulov, Grigory, 2015. "Towards a consolidation of worldwide journal rankings – A classification using random forests and aggregate rating via data envelopment analysis," Omega, Elsevier, vol. 51(C), pages 11-23.

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