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The use of OWA operator weights for cross-efficiency aggregation

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

    Cross-efficiency evaluation is an effective way of ranking decision making units (DMUs) in data envelopment analysis (DEA). Existing approaches for cross-efficiency evaluation are mainly focused on the calculation of cross-efficiency matrix, but pay little attention to the aggregation of the efficiencies in the cross-efficiency matrix. The most widely used approach is to aggregate the efficiencies in each row or column in the cross-efficiency matrix with equal weights into an average cross-efficiency score for each DMU and view it as the overall performance measurement of the DMU. This paper focuses on the aggregation process of the efficiencies in the cross-efficiency matrix and proposes the use of ordered weighted averaging (OWA) operator weights for cross-efficiency aggregation. The use of OWA operator weights for cross-efficiency aggregation allows the decision maker (DM)'s optimism level towards the best relative efficiencies, characterized by an orness degree, to be taken into consideration in the final overall efficiency assessment and particularly in the selection of the best DMU.

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    Bibliographic Info

    Article provided by Elsevier in its journal Omega.

    Volume (Year): 39 (2011)
    Issue (Month): 5 (October)
    Pages: 493-503

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    Handle: RePEc:eee:jomega:v:39:y:2011:i:5:p:493-503

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    Keywords: Data envelopment analysis Cross-efficiency evaluation OWA operators Efficiency aggregation;

    References

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    1. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, Elsevier, vol. 2(6), pages 429-444, November.
    2. Franco Fiordelisi & Phil Molyneux, 2010. "Total Factor Productivity and Shareholder Returns in Banking," Working Papers 10005, Bangor Business School, Prifysgol Bangor University (Cymru / Wales).
    3. Wu, Jie & Liang, Liang & Chen, Yao, 2009. "DEA game cross-efficiency approach to Olympic rankings," Omega, Elsevier, Elsevier, vol. 37(4), pages 909-918, August.
    4. Du, Juan & Liang, Liang & Chen, Yao & Bi, Gong-bing, 2010. "DEA-based production planning," Omega, Elsevier, Elsevier, vol. 38(1-2), pages 105-112, February.
    5. Ertay, Tijen & Ruan, Da, 2005. "Data envelopment analysis based decision model for optimal operator allocation in CMS," European Journal of Operational Research, Elsevier, Elsevier, vol. 164(3), pages 800-810, August.
    6. Chang, Hsihui & Choy, Hiu Lam & Cooper, William W. & Ruefli, Timothy W., 2009. "Using Malmquist Indexes to measure changes in the productivity and efficiency of US accounting firms before and after the Sarbanes-Oxley Act," Omega, Elsevier, Elsevier, vol. 37(5), pages 951-960, October.
    7. Lu, Wen-Min & Lo, Shih-Fang, 2007. "A closer look at the economic-environmental disparities for regional development in China," European Journal of Operational Research, Elsevier, Elsevier, vol. 183(2), pages 882-894, December.
    8. Ramón, Nuria & Ruiz, José L. & Sirvent, Inmaculada, 2010. "On the choice of weights profiles in cross-efficiency evaluations," European Journal of Operational Research, Elsevier, Elsevier, vol. 207(3), pages 1564-1572, December.
    9. Wu, Jie & Liang, Liang & Yang, Feng, 2009. "Achievement and benchmarking of countries at the Summer Olympics using cross efficiency evaluation method," European Journal of Operational Research, Elsevier, Elsevier, vol. 197(2), pages 722-730, September.
    10. Kao, Chiang, 2010. "Malmquist productivity index based on common-weights DEA: The case of Taiwan forests after reorganization," Omega, Elsevier, Elsevier, vol. 38(6), pages 484-491, December.
    11. Asmild, Mette & Paradi, Joseph C. & Pastor, Jesus T., 2009. "Centralized resource allocation BCC models," Omega, Elsevier, Elsevier, vol. 37(1), pages 40-49, February.
    12. Paradi, Joseph C. & Rouatt, Stephen & Zhu, Haiyan, 2011. "Two-stage evaluation of bank branch efficiency using data envelopment analysis," Omega, Elsevier, Elsevier, vol. 39(1), pages 99-109, January.
    13. Green, Rodney H. & Doyle, John R. & Cook, Wade D., 1996. "Preference voting and project ranking using DEA and cross-evaluation," European Journal of Operational Research, Elsevier, Elsevier, vol. 90(3), pages 461-472, May.
    14. Liang, Liang & Wu, Jie & Cook, Wade D. & Zhu, Joe, 2008. "Alternative secondary goals in DEA cross-efficiency evaluation," International Journal of Production Economics, Elsevier, Elsevier, vol. 113(2), pages 1025-1030, June.
    15. Wu, Desheng Dash, 2009. "Performance evaluation: An integrated method using data envelopment analysis and fuzzy preference relations," European Journal of Operational Research, Elsevier, Elsevier, vol. 194(1), pages 227-235, April.
    16. Wang, Ying-Ming & Chin, Kwai-Sang, 2010. "Some alternative models for DEA cross-efficiency evaluation," International Journal of Production Economics, Elsevier, Elsevier, vol. 128(1), pages 332-338, November.
    17. Shang, Jen & Sueyoshi, Toshiyuki, 1995. "A unified framework for the selection of a Flexible Manufacturing System," European Journal of Operational Research, Elsevier, Elsevier, vol. 85(2), pages 297-315, September.
    18. Cook, Wade D. & Liang, Liang & Zhu, Joe, 2010. "Measuring performance of two-stage network structures by DEA: A review and future perspective," Omega, Elsevier, Elsevier, vol. 38(6), pages 423-430, December.
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    Cited by:
    1. Ramón, Nuria & Ruiz, José L. & Sirvent, Inmaculada, 2011. "Reducing differences between profiles of weights: A "peer-restricted" cross-efficiency evaluation," Omega, Elsevier, Elsevier, vol. 39(6), pages 634-641, December.
    2. Feng, Bo & Lai, Fujun, 2014. "Multi-attribute group decision making with aspirations: A case study," Omega, Elsevier, Elsevier, vol. 44(C), pages 136-147.
    3. Oral, Muhittin & Oukil, Amar & Malouin, Jean-Louis & Kettani, Ossama, 2014. "The appreciative democratic voice of DEA: A case of faculty academic performance evaluation," Socio-Economic Planning Sciences, Elsevier, Elsevier, vol. 48(1), pages 20-28.
    4. 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, Elsevier, vol. 223(3), pages 732-738.
    5. Yang, Guo-liang & Yang, Jian-bo & Liu, Wen-bin & Li, Xiao-xuan, 2013. "Cross-efficiency aggregation in DEA models using the evidential-reasoning approach," European Journal of Operational Research, Elsevier, Elsevier, vol. 231(2), pages 393-404.
    6. Ghasemi, M.-R. & Ignatius, Joshua & Emrouznejad, Ali, 2014. "A bi-objective weighted model for improving the discrimination power in MCDEA," European Journal of Operational Research, Elsevier, Elsevier, vol. 233(3), pages 640-650.

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