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Gap Minimization for Peer‐Evaluation in DEA Cross‐Efficiency

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  • Anrong Yang
  • Zigang Zhang
  • Yishi Zhang
  • Dunliang Chen

Abstract

Cross‐efficiency evaluation is an effective and widely used method for ranking decision making units (DMUs) in data envelopment analysis (DEA). Gap minimization criterion is introduced in aggressive and benevolent cross‐efficiency methods to avoid possible extreme efficiency from peer‐evaluation and to get equitable results. On the basis of this criterion, a weighted cross‐efficiency method with similarity distance that, respectively, considers the aggressive and the benevolent formulations is proposed to determine cross‐efficiency. The weights of the cross‐evaluation determined by this method are positively influenced by self‐evaluation and thus are propitious to resolving conflict. Numerical demonstration reveals the feasibility of the proposed method.

Suggested Citation

  • Anrong Yang & Zigang Zhang & Yishi Zhang & Dunliang Chen, 2014. "Gap Minimization for Peer‐Evaluation in DEA Cross‐Efficiency," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:453749
    DOI: 10.1155/2014/453749
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    References listed on IDEAS

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