Cross-Efficiency Evaluation Method with Compete-Cooperate Matrix

Qiang Hou and Xue Zhou

Mathematical Problems in Engineering, 2015, vol. 2015, 1-7

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:710264

DOI: 10.1155/2015/710264

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