8 Pages Posted: 7 Aug 2014
Date Written: September 2014
This paper proposes an approach to the cross-efficiency evaluation that considers all the optimal data envelopment analysis (DEA) weights of all the decision-making units (DMUs), thus avoiding the need to make a choice among them according to some alternative secondary goal. To be specific, we develop a couple of models that allow for all the possible weights of all the DMUs simultaneously and yield individual lower and upper bounds for the cross-efficiency scores of the different units. As a result, we have a cross-efficiency interval for the evaluation of each unit. Existing order relations for interval numbers are used to identify dominance relations among DMUs and derive a ranking of units based on the cross-efficiency intervals provided. The approach proposed may also be useful for assessing the stability of the cross-efficiency scores with respect to DEA weights that can be used for their calculation.
Suggested Citation: Suggested Citation
Ramón, Nuria and Ruiz, José L. and Sirvent, Inmaculada, Dominance Relations and Ranking of Units by Using Interval Number Ordering with Cross-Efficiency Intervals (September 2014). Journal of the Operational Research Society, Vol. 65, Issue 9, pp. 1336-1343, 2014. Available at SSRN: https://ssrn.com/abstract=2477377 or http://dx.doi.org/10.1057/jors.2013.90
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