Improving weak efficiency frontiers in the fuzzy data envelopment analysis models

被引:11
作者
Khoshfetrat, Sahar [1 ]
Daneshvar, Sahand [1 ]
机构
[1] Islamic Azad Univ, Dept Math, Tabriz Branch, Tabriz, Iran
关键词
Data envelopment analysis (DEA); Fuzzy data envelopment analysis; Linear programming; Weak efficiency frontier; Facet analysis; Efficiency; DEA;
D O I
10.1016/j.apm.2010.06.008
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Evaluating the performance of activities or organization by common data envelopment analysis models requires crisp input/output data. However, the precise inputs and outputs of production processes cannot be always measured. Thus, the data envelopment analysis measurement containing fuzzy data, called "fuzzy data envelopment analysis", has played an important role in the evaluation of efficiencies of real applications. This paper focuses on the fuzzy CCR model and proposes a new method for determining the lower bounds of fuzzy inputs and outputs. This improves the weak efficiency frontiers of the corresponding production possibility set. Also a numerical example illustrates the capability of the proposed method. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码:339 / 345
页数:7
相关论文
共 11 条
[1]  
Bellman R. E., 1971, Decision-making in a fuzzy environment, DOI 10.1287/mnsc.17.4.B141
[2]   MEASURING EFFICIENCY OF DECISION-MAKING UNITS [J].
CHARNES, A ;
COOPER, WW ;
RHODES, E .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1978, 2 (06) :429-444
[3]  
CHIANG K, 2000, FUZZY SETS SYST, V113, P426
[4]  
Cooper W.W., 2006, DEA SOLVER SOFTWARE
[5]   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
[6]   THE MEASUREMENT OF PRODUCTIVE EFFICIENCY [J].
FARRELL, MJ .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES A-GENERAL, 1957, 120 (03) :253-290
[7]   Fuzzy DEA: a perceptual evaluation method [J].
Guo, P ;
Tanaka, H .
FUZZY SETS AND SYSTEMS, 2001, 119 (01) :149-160
[8]   Fuzzy data envelopment analysis and its application to location problems [J].
Guo, Peijun .
INFORMATION SCIENCES, 2009, 179 (06) :820-829
[9]   Fuzzy efficiency measures in data envelopment analysis [J].
Kao, C ;
Liu, ST .
FUZZY SETS AND SYSTEMS, 2000, 113 (03) :427-437
[10]   Fuzzy data envelopment analysis (DEA): Model and ranking method [J].
Wen, Meilin ;
Li, Huaishu .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 223 (02) :872-878