NOTE ON FUZZY REGRESSION

被引：79

作者：

BARDOSSY, A

机构：

[1] Institute for Hydrology and Water Resources, University of Karlsruhe, D-7500 Karlsruhe

来源：

FUZZY SETS AND SYSTEMS | 1990年 / 37卷 / 01期

关键词：

fuzzy linear regression; Fuzzy regression; measure of vagueness;

D O I：

10.1016/0165-0114(90)90064-D

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Regression analysis has been widely used in several areas for many years. Fuzzy linear regression was introduced in 1980 by H. Tanaka, S. Uejima and K. Asai. In this paper the general form of regression equations is developed for fuzzy numbers. It is showed that the problem of fuzzy regression can be formulated as a mathematical programming problem. The special case of linear regression yields a linear programming problem. Different measures of vagueness are introduced to define the best estimate. Two simple numerical examples illustrate the methodology and allow a partial comparison among the different measures of vagueness. © 1990.

引用

页码：65 / 75

页数：11

共 10 条

[1]

ABRAHAM B, 1984, STATISTICAL METHODS

[2]

Dubois, 1980, FUZZY SETS FUZZY SYS

[3] FUZZY LINEAR-REGRESSION AND ITS APPLICATIONS TO FORECASTING IN UNCERTAIN ENVIRONMENT [J].