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

Bohlool Ebrahimi, Madjid Tavana*, Vincent Charles

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)2719-2737
Number of pages19
JournalOperational Research
Volume21
Issue number4
Early online date19 Oct 2019
DOIs
Publication statusPublished - 01 Dec 2021
Externally publishedYes

Keywords

  • Data envelopment analysis
  • Efficiency bounds
  • Imprecise data
  • Interval data
  • Ordinal data

ASJC Scopus subject areas

  • Numerical Analysis
  • Modelling and Simulation
  • Strategy and Management
  • Statistics, Probability and Uncertainty
  • Management Science and Operations Research
  • Computational Theory and Mathematics
  • Management of Technology and Innovation

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