TY - JOUR
T1 - Fuzzy efficiency measures in data envelopment analysis
AU - Kao, Chiang
AU - Liu, Shiang Tai
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2000/8/1
Y1 - 2000/8/1
N2 - The existing data envelopment analysis (DEA) models for measuring the relative efficiencies of a set of decision making units (DMUs) using various inputs to produce various outputs are limited to crisp data. To deal with imprecise data, the notion of fuzziness has been introduced. This paper develops a procedure to measure the efficiencies of DMUs with fuzzy observations. The basic idea is to transform a fuzzy DEA model to a family of conventional crisp DEA models by applying the α-cut approach. A pair of parametric programs is formulated to describe that family of crisp DEA models, via which the membership functions of the efficiency measures are derived. Since the efficiency measures are expressed by membership functions rather than by crisp values, more information is provided for management. By extending to fuzzy environment, the DEA approach is made more powerful for applications.
AB - The existing data envelopment analysis (DEA) models for measuring the relative efficiencies of a set of decision making units (DMUs) using various inputs to produce various outputs are limited to crisp data. To deal with imprecise data, the notion of fuzziness has been introduced. This paper develops a procedure to measure the efficiencies of DMUs with fuzzy observations. The basic idea is to transform a fuzzy DEA model to a family of conventional crisp DEA models by applying the α-cut approach. A pair of parametric programs is formulated to describe that family of crisp DEA models, via which the membership functions of the efficiency measures are derived. Since the efficiency measures are expressed by membership functions rather than by crisp values, more information is provided for management. By extending to fuzzy environment, the DEA approach is made more powerful for applications.
UR - http://www.scopus.com/inward/record.url?scp=0346685438&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0346685438&partnerID=8YFLogxK
U2 - 10.1016/S0165-0114(98)00137-7
DO - 10.1016/S0165-0114(98)00137-7
M3 - Article
AN - SCOPUS:0346685438
VL - 113
SP - 427
EP - 437
JO - Fuzzy Sets and Systems
JF - Fuzzy Sets and Systems
SN - 0165-0114
IS - 3
ER -