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DEA Cross-Efficiency Evaluation Method Based on Good Relationship

Author

Listed:
  • Guo Ruijuan

    (School of Management, University of Science and Technology of China, Hefei230026, China)

  • Dong Yanling

    (School of Management, University of Science and Technology of China, Hefei230026, China)

  • Meiqiang Wang

    (School of Management, Guizhou University, Guiyang550025, China)

  • Yongjun Li

    (School of Management, University of Science and Technology of China, Hefei230026, China)

Abstract

Benevolent and aggressive cross-efficiency evaluation methods are the improvement of the cross-efficiency evaluation method. They merely maximize or minimize the efficiency of the composite unit constructed by evaluated decision-making units while maintaining the optimal efficiency of the decision-making unit under evaluation. The two methods completely ignore the self-evaluation efficiency of evaluated unit and the good relationship among decision-making units. To solve the above drawbacks, the authors consider the efficiency score of the decision-making unit as an interval number and propose a more reasonable interval number. On the basis of the interval efficiency, the authors provide the benevolent and aggressive DEA cross-efficiency evaluation models based on the good relationship among all decision-making units. Finally, a numerical example is provided to illustrate the proposed method.

Suggested Citation

  • Guo Ruijuan & Dong Yanling & Meiqiang Wang & Yongjun Li, 2015. "DEA Cross-Efficiency Evaluation Method Based on Good Relationship," Journal of Systems Science and Information, De Gruyter, vol. 3(1), pages 14-24, February.
    • Handle: RePEc:bpj:jossai:v:3:y:2015:i:1:p:14-24:n:2
    DOI: 10.1515/JSSI-2015-0014
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    References listed on IDEAS

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    1. Chen, Tser-yieth, 2002. "An assessment of technical efficiency and cross-efficiency in Taiwan's electricity distribution sector," European Journal of Operational Research, Elsevier, vol. 137(2), pages 421-433, March.
    2. 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.
    3. Ramón, Nuria & Ruiz, José L. & Sirvent, Inmaculada, 2010. "On the choice of weights profiles in cross-efficiency evaluations," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1564-1572, December.
    4. Lim, Sungmook & Oh, Kwang Wuk & Zhu, Joe, 2014. "Use of DEA cross-efficiency evaluation in portfolio selection: An application to Korean stock market," European Journal of Operational Research, Elsevier, vol. 236(1), pages 361-368.
    5. Liang, Liang & Wu, Jie & Cook, Wade D. & Zhu, Joe, 2008. "Alternative secondary goals in DEA cross-efficiency evaluation," International Journal of Production Economics, Elsevier, vol. 113(2), pages 1025-1030, June.
    6. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    7. Joe Zhu, 2014. "DEA Cross Efficiency," International Series in Operations Research & Management Science, in: Quantitative Models for Performance Evaluation and Benchmarking, edition 3, chapter 4, pages 61-92, Springer.
    8. Entani, Tomoe & Maeda, Yutaka & Tanaka, Hideo, 2002. "Dual models of interval DEA and its extension to interval data," European Journal of Operational Research, Elsevier, vol. 136(1), pages 32-45, January.
    9. Wu, Jie & Liang, Liang & Chen, Yao, 2009. "DEA game cross-efficiency approach to Olympic rankings," Omega, Elsevier, vol. 37(4), pages 909-918, August.
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    Cited by:

    1. Feng Li & Han Wu & Qingyuan Zhu & Liang Liang & Gang Kou, 2021. "Data envelopment analysis cross efficiency evaluation with reciprocal behaviors," Annals of Operations Research, Springer, vol. 302(1), pages 173-210, July.

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