Fuzzy efficiency without convexity

被引:6
作者
Hougaard, Jens Leth [1 ]
Balezentis, Tomas [2 ,3 ]
机构
[1] Univ Copenhagen, Dept Food & Resource Econ, DK-1958 Frederiksberg C, Denmark
[2] Lithuanian Inst Agrarian Econ, LT-03105 Vilnius, Lithuania
[3] Vilnius Univ, LT-10222 Vilnius, Lithuania
关键词
Fuzzy efficiency; Fuzzy DEA; Fuzzy FDH; Non-convexity; Farm efficiency; DATA ENVELOPMENT ANALYSIS; MATHEMATICAL-PROGRAMMING APPROACH; PAIR-WISE DOMINANCE; TECHNICAL EFFICIENCY; IMPRECISE DATA; INTERVAL DATA; DEA; MODELS; PERFORMANCE; SCORES;
D O I
10.1016/j.fss.2014.04.009
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
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. (c) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:17 / 29
页数:13
相关论文
共 21 条
[1]  
[Anonymous], 1991, Introduction to Fuzzy Arithmetic
[2]  
Bogetoft P, 2011, INT SER OPER RES MAN, V157, P1, DOI 10.1007/978-1-4419-7961-2
[3]   IDEA and AR-IDEA: Models for dealing with imprecise data in DEA [J].
Cooper, WW ;
Park, KS ;
Yu, G .
MANAGEMENT SCIENCE, 1999, 45 (04) :597-607
[4]   THE COEFFICIENT OF RESOURCE UTILIZATION [J].
Debreu, Gerard .
ECONOMETRICA, 1951, 19 (03) :273-292
[5]  
Deprins D., 2006, PERFORMANCE PUBLIC E, P285, DOI DOI 10.1007/978-0-387-25534-7_16
[6]   Dual models of interval DEA and its extension to interval data [J].
Entani, T ;
Maeda, Y ;
Tanaka, H .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2002, 136 (01) :32-45
[7]   Fuzzy DEA: a perceptual evaluation method [J].
Guo, P ;
Tanaka, H .
FUZZY SETS AND SYSTEMS, 2001, 119 (01) :149-160
[8]   A taxonomy and review of the fuzzy data envelopment analysis literature: Two decades in the making [J].
Hatami-Marbini, Adel ;
Emrouznejad, Ali ;
Tavana, Madjid .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2011, 214 (03) :457-472
[10]   Fuzzy scores of technical efficiency [J].
Hougaard, JL .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1999, 115 (03) :529-541