Comprehensive Cross-Efficiency Methods with Common Weight Restrictions in Data Envelopment Analysis

Qing Wang, Keke Wei (), Yang Zhang and Xuan Wang ()
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Qing Wang: School of Management, Tianjin University of Commerce, Tianjin 300134, P. R. China2Management Innovation and Evaluation Research Center (MIERC), Tianjin University of Commerce, Tianjin 300134, P. R. China
Keke Wei: School of Management, Tianjin University of Commerce, Tianjin 300134, P. R. China
Yang Zhang: School of Management, Tianjin University of Commerce, Tianjin 300134, P. R. China2Management Innovation and Evaluation Research Center (MIERC), Tianjin University of Commerce, Tianjin 300134, P. R. China
Xuan Wang: School of Management, Tianjin University of Commerce, Tianjin 300134, P. R. China

Asia-Pacific Journal of Operational Research (APJOR), 2020, vol. 37, issue 05, 1-21

Abstract: Considering both self-evaluation and peer evaluation, the traditional data envelopment analysis (DEA) cross-efficiency method has been widely used to evaluate efficiency scores. However, it has several defects such as excessive weight flexibility, unstable evaluation, and aggregation irrationality. This paper proposes a novel comprehensive DEA cross-efficiency method where two novel weight restriction methods are used to enhance the stability and feasibility of evaluation. Then, final efficiency scores were calculated through the geometric mean aggregation method. Finally, an empirical example is used to demonstrate that the proposed methods are more reasonable and scientific.

Keywords: Data envelopment analysis; cross-efficiency; weight restrictions; geometric aggregation (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1142/S0217595920500190

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