Fuzzy efficiency without convexity

Jens Leth Hougaard, Tomas Balezentis

6 Citations (Scopus)

Abstract

In this paper we develop a fuzzy version of the crisp Free Disposal Hull (FDH) method for measuring technical efficiency for samples of similar production units. The FDH-method is basically Data Envelopment Analysis (DEA) without the underlying assumption of convexity of the technology set. Our approach builds directly upon the definition of Farrell's indexes of technical efficiency used in crisp FDH. Therefore we do not require the use of fuzzy programming techniques but only utilize ranking probabilities of intervals as well as a related definition of dominance between pairs of intervals. We illustrate the approach using a data set of 200 Lithuanian family farms for the period of 2004–2009.
Original languageEnglish
JournalFuzzy Sets and Systems
Volume255
Pages (from-to)17–29
Number of pages13
ISSN0165-0114
DOIs
Publication statusPublished - 16 Nov 2014

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