A simple method for computation of fuzzy linear regression

被引：125
作者：
Hojati, M
Bector, CR
Smimou, K
机构：
[1] Univ Saskatchewan, Coll Commerce, Dept Finance & Management Sci, Saskatoon, SK S7N 5A7, Canada
[2] Univ Manitoba, Asper Sch Business, Winnipeg, MB R3T 2N2, Canada
来源：
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2005年 / 166卷 / 01期
关键词：
fuzzy sets; fuzzy regression; linear programming;
D O I：
10.1016/j.ejor.2004.01.039
中图分类号：
C93 [管理学];
学科分类号：
12 ; 1201 ; 1202 ; 120202 ;
摘要：
We propose a new method for computation of fuzzy regression that is simple and gives good solutions. We consider two cases: First, when only the dependent variable is fuzzy, our approach is given and is compared with those suggested in the literature. Secondly, when both dependent and independent variables are fuzzy, our approach is extended and compared with those given in the literature. In each case, a simple example is used to compare the competing approaches. (c) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：172 / 184
页数：13
相关论文
共 13 条
[1]   FUZZY REGRESSION IN HYDROLOGY [J].
BARDOSSY, A ;
BOGARDI, I ;
DUCKSTEIN, L .
WATER RESOURCES RESEARCH, 1990, 26 (07) :1497-1508
[2]   NOTE ON FUZZY REGRESSION [J].
BARDOSSY, A .
FUZZY SETS AND SYSTEMS, 1990, 37 (01) :65-75
[3]   LEAST-SQUARES MODEL-FITTING TO FUZZY VECTOR DATA [J].
CELMINS, A .
FUZZY SETS AND SYSTEMS, 1987, 22 (03) :245-269
[4]   ON THE EFFECT OF LINEAR DATA TRANSFORMATIONS IN POSSIBILISTIC FUZZY LINEAR-REGRESSION [J].
JOZSEF, S .
FUZZY SETS AND SYSTEMS, 1992, 45 (02) :185-188
[5]   Upper and lower approximation models in interval regression using regression quantile techniques [J].
Lee, H ;
Tanaka, H .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1999, 116 (03) :653-666
[6]   Multi-objective fuzzy regression:: a general framework [J].
Özelkan, EC ;
Duckstein, L .
COMPUTERS & OPERATIONS RESEARCH, 2000, 27 (7-8) :635-652
[7]   FUZZY LINEAR-REGRESSION WITH FUZZY INTERVALS [J].
PETERS, G .
FUZZY SETS AND SYSTEMS, 1994, 63 (01) :45-55
[8]   PROPERTIES OF CERTAIN FUZZY LINEAR-REGRESSION METHODS [J].
REDDEN, DT ;
WOODALL, WH .
FUZZY SETS AND SYSTEMS, 1994, 64 (03) :361-375
[9]   EVALUATION OF FUZZY LINEAR-REGRESSION MODELS [J].
SAVIC, DA ;
PEDRYCZ, W .
FUZZY SETS AND SYSTEMS, 1991, 39 (01) :51-63
[10]  
Sawaka M., 1992, FUZZY SETS SYSTEMS, V47, P173
12