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Cross-Efficiency Evaluation Method with Compete-Cooperate Matrix

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  • Qiang Hou
  • Xue Zhou

Abstract

Cross-efficiency evaluation method is an effective and widespread adopted data envelopment analysis (DEA) method with self-assessment and peer-assessment to evaluate and rank decision making units (DMUs). Extant aggressive, benevolent, and neutral cross-efficiency methods are used to evaluate DMUs with competitive, cooperative, and nontendentious relationships, respectively. In this paper, a symmetric (nonsymmetric) compete-cooperate matrix is introduced into aggressive and benevolent cross-efficiency methods and compete-cooperate cross-efficiency method is proposed to evaluate DMUs with diverse (relative) relationships. Deviation maximization method is applied to determine the final weights of cross-evaluation to enhance the differentiation ability of cross-efficiency evaluation method. Numerical demonstration is provided to illustrate the reasonability and practicability of the proposed method.

Suggested Citation

  • Qiang Hou & Xue Zhou, 2015. "Cross-Efficiency Evaluation Method with Compete-Cooperate Matrix," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-7, September.
    • Handle: RePEc:hin:jnlmpe:710264
    DOI: 10.1155/2015/710264
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