Fuzzy efficiency without convexity
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Fuzzy efficiency without convexity. / Hougaard, Jens Leth; Balezentis, Tomas.
In: Fuzzy Sets and Systems, Vol. 255, 2014, p. 17–29.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Fuzzy efficiency without convexity
AU - Hougaard, Jens Leth
AU - Balezentis, Tomas
PY - 2014
Y1 - 2014
N2 - 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.
AB - 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.
U2 - 10.1016/j.fss.2014.04.009
DO - 10.1016/j.fss.2014.04.009
M3 - Journal article
VL - 255
SP - 17
EP - 29
JO - Fuzzy Sets and Systems
JF - Fuzzy Sets and Systems
SN - 0165-0114
ER -
ID: 112937358