Multiobjective fuzzy regression with central tendency and possibilistic properties

被引：26

作者：

Tran, L

Duckstein, L

机构：

[1] Penn State Univ, Coll Earth & Mineral Sci, Ctr Integrated Reg Assessment, University Pk, PA 16802 USA

[2] Ecole Natl Genie Rural Eaux & Forets, F-75732 Paris 15, France

来源：

FUZZY SETS AND SYSTEMS | 2002年 / 130卷 / 01期

关键词：

fuzzy statistics and data analysis; fuzzy mathematical programming; multiple criteria evaluation; fuzzy regression;

D O I：

10.1016/S0165-0114(01)00138-5

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

A multiobjective fuzzy regression model (MOFR) is developed. This MOFR model combines central tendency and possibilistic properties of statistical and fuzzy regressions and overcomes several shortcomings of these two approaches. A new class of distance measure for two intervals that takes into account all the points in both intervals is introduced. The methodology is illustrated by numerical examples. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：21 / 31

页数：11

共 32 条

[1] BARDPSSU A, 2003, FUZZY REGRESSION ANA, P292
[2] Bertoluzza C., 1995, Mathware and Soft Computing, P71
[3] Birkes D., 1993, ALTERNATIVE METHODS
[4] Bloomfield P., 1983, LEAST ABSOLUTE DEVIA
[5] LEAST-SQUARES MODEL-FITTING TO FUZZY VECTOR DATA
CELMINS, A
[J]. FUZZY SETS AND SYSTEMS, 1987, 22 (03) : 245 - 269
[6] MULTIDIMENSIONAL LEAST-SQUARES FITTING OF FUZZY MODELS
CELMINS, A
[J]. MATHEMATICAL MODELLING, 1987, 9 (09): : 669 - 690
[7] Chang PT, 1996, FUZZY SET SYST, V82, P289, DOI 10.1016/0165-0114(95)00284-7
[8] Diamond P, 1998, HDB FUZZ SET SER, P349
[9] Extended fuzzy linear models and least squares estimates
Diamond, P
Korner, R
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1997, 33 (09) : 15 - 32
[10] FUZZY LEAST-SQUARES
DIAMOND, P
[J]. INFORMATION SCIENCES, 1988, 46 (03) : 141 - 157

← 1 2 3 4 →