Ranking DMUs by using interval DEA cross efficiency matrix with acceptability analysis

Feng Yang, Sheng Ang, Qiong Xia and Chenchen Yang

European Journal of Operational Research, 2012, vol. 223, issue 2, 483-488

Abstract: Cross efficiency method is an extension of data envelopment analysis (DEA), and has been widely used for ranking performance of decision making units (DMUs). To eliminate the non-uniqueness of cross efficiency scores, the aggressive and benevolent strategies have been proposed as secondary goals to determine the unique cross efficiency score. The current paper aims to propose an alternative strategy which does not consider the preference of the decision maker in choosing aggressive or benevolent strategy. Instead, the paper considers all possible weight sets in weight space when computing the cross efficiency and each DMU is given an interval cross efficiency. By using the stochastic multicriteria acceptability analysis (SMAA-2) method, all DMUs in the interval cross efficiency matrix (CEM) could be fully ranked according to the acceptability indices. A numerical example about efficiency evaluation to seven academic departments in a university is illustrated.

Keywords: Data envelopment analysis (DEA); Cross efficiency; Stochastic multicriteria acceptability analysis (SMAA); Ranking (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (27)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:223:y:2012:i:2:p:483-488

DOI: 10.1016/j.ejor.2012.07.001

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