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A note and new extensions on “interval efficiency measures in data envelopment analysis with imprecise data”

Bohlool Ebrahimi (), Madjid Tavana () and Vincent Charles ()
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Bohlool Ebrahimi: FernUniversität in Hagen
Madjid Tavana: La Salle University
Vincent Charles: University of Bradford

Operational Research, 2021, vol. 21, issue 4, No 19, 2719-2737

Abstract: Abstract This paper deals with imprecise data in data envelopment analysis (DEA). We construct a new pair of mathematical programming models by using the concepts of ‘inf’ and ‘sup’ to calculate the exact values of the lower- and upper-bound efficiency scores in the presence of interval and ordinal data. The method proposed in this study is motivated by the approach introduced by Kao (Eur J Oper Res 174(2):1087–1099, 2006) where a pair of two-level mathematical DEA models are converted into linear programming (LP) models to calculate the lower- and upper-bound efficiency scores in the presence of pure ordinal data. We show that the LP model proposed by Kao (2006) for finding the lower-bound efficiency score yields the upper-bound efficiency score. We propose an improved model that overcomes this drawback and successfully calculates the lower- and upper-bound efficiency scores. We demonstrate the applicability of our models with a numerical example and exhibit its efficacy through comparison with Kao’s (2006) approach.

Keywords: Data envelopment analysis; Imprecise data; Ordinal data; Interval data; Efficiency bounds (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s12351-019-00524-x

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