Measure of efficiency in DEA with fuzzy input-output levels: a methodology for assessing, ranking and imposing of weights restrictions

被引:63
作者
Jahanshahloo, GR
Soleimani-damaneh, M
Nasrabadi, E
机构
[1] Teacher Training Univ, Fac Math Sci & Comp Engn, Tehran 15618, Iran
[2] Sharif Univ Technol, Fac Ind Engn, Tehran, Iran
关键词
DEA; fuzzy DEA; fuzzy linear programming; efficiency; goal programming; multiple objective programming;
D O I
10.1016/j.amc.2003.07.036
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a fuzzy comparison of fuzzy numbers is defined and a slack-based measure (SBM model) in data envelopment analysis (DEA) is extended to be a fuzzy DEA model, using it. Proposed measure is employed for evaluation and ranking of all decision making units, using a fuzzy concept called fuzzy profit. Also, it is shown that the introduced model is convenient for using weights restrictions. Furthermore, we compare the results of proposed model with Guo and Tanaka's results [Fuzzy Sets Syst. 119 (2001) 149] by representing a numerical example introduced by them. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码:175 / 187
页数:13
相关论文
共 21 条
[1]   Review of ranking methods in the data envelopment analysis context [J].
Adler, N ;
Friedman, L ;
Sinuany-Stern, Z .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2002, 140 (02) :249-265
[2]   SOME MODELS FOR ESTIMATING TECHNICAL AND SCALE INEFFICIENCIES IN DATA ENVELOPMENT ANALYSIS [J].
BANKER, RD ;
CHARNES, A ;
COOPER, WW .
MANAGEMENT SCIENCE, 1984, 30 (09) :1078-1092
[3]   On possibilistic mean value and variance of fuzzy numbers [J].
Carlsson, C ;
Fullér, R .
FUZZY SETS AND SYSTEMS, 2001, 122 (02) :315-326
[4]   MEASURING EFFICIENCY OF DECISION-MAKING UNITS [J].
CHARNES, A ;
COOPER, WW ;
RHODES, E .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1978, 2 (06) :429-444
[5]  
Cooper W.W., 2000, Data envelopment analysis: A comprehensive text with models, applications, references and DEA-Solver software
[6]   RAM: A range adjusted measure of inefficiency for use with additive models, and relations to other models and measures in DEA [J].
Cooper, WW ;
Park, KS ;
Pastor, JT .
JOURNAL OF PRODUCTIVITY ANALYSIS, 1999, 11 (01) :5-42
[7]   A STUDY OF THE RANKING FUNCTION-APPROACH THROUGH MEAN-VALUES [J].
GONZALEZ, A .
FUZZY SETS AND SYSTEMS, 1990, 35 (01) :29-41
[8]   Fuzzy DEA: a perceptual evaluation method [J].
Guo, P ;
Tanaka, H .
FUZZY SETS AND SYSTEMS, 2001, 119 (01) :149-160
[9]  
GUO P, 1998, P 3 AS FUZZ SYST S, P517
[10]   Fuzzy scores of technical efficiency [J].
Hougaard, JL .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1999, 115 (03) :529-541