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Chinese Journal of Management Science ›› 2022, Vol. 30 ›› Issue (11): 250-259.doi: 10.16381/j.cnki.issn1003-207x.2020.0474

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Study on Cross-efficiency Ranking Based on Evidential Reasoning and Prospect Theory

WANG Xu1, WANG Ying-ming2,3, WANG Liang2, LAN Yi-xin2, ZHANG Xing-xian4   

  1. 1. School of Economics & Management, Chongqing Normal University, Chongqing 401331, China; 2. Decision Sciences Institute, Fuzhou University, Fuzhou 350116, China;3. Key Laboratory of Spatial Data Mining & Information Sharing of Ministry of Education, Fuzhou University, Fuzhou 350116, China; 4. School of Architecture and Engineering, Tongling University, Tongling 244061, China
  • Received:2020-03-22 Revised:2020-09-17 Online:2022-11-20 Published:2022-11-28
  • Contact: 王应明 E-mail:msymwang@hotmail.com

Abstract: There has a lot of researches on cross-efficiency based on data envelopment analysis (DEA), and different DEA cross-efficiency models usually lead to different decision making units (DMUs) rankings and conclusions. To avoid the biased performance evaluation caused by biased DEA cross-efficiency model and make a comprehensive assessment on DMUs, an alternative combined with prospect theory and evidential reasoning approach is proposed to integrate the cross-efficiencies of DMUs, which are obtained from several DEA cross-efficiency models, and the cross-efficiencies are converted into the belief degree to support the evaluated DMU being efficient. The weights of integrated efficiencies are obtained by prospect theory, which considers the expected gains and loss of decision makers. The rankings and comparisons of DMUs are determined by the final belief degrees. The higher the belief degree is, the better the DMU ranks. An assessment of 7 departments in a university is made with the proposed approach. It is found that the proposed approach integrates the evaluations of DMUs under aggressive, benevolent and neutral cross-efficiency models well, and leads a comprehensive conclusion.

Key words: data envelopment analysis; evidential reasoning; belief degree; cross-efficiency ranking; prospect theory

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