# ESTIMATING THE PARAMETERS OF A FUZZY LINEAR REGRESSION MODEL

Document Type : Research Paper

Authors

Faculty of Mathematics and Computer Sciences, Shahid Bahonar University of Kerman, Kerman, Iran

Abstract

Fuzzy linear regression models are used to obtain an appropriate
linear relation between a dependent variable and several independent variables
in a fuzzy environment. Several methods for evaluating fuzzy coefficients in
linear regression models have been proposed. The first attempts at estimating
the parameters of a fuzzy regression model used mathematical programming
methods. In this thesis, we generalize the metric defined by Diamond and
use it as a criterion to estimate these parameters. Our method, is not only
computationally easy to handle, but, when compared with earlier methods,
has a smaller the sum of errors of estimation.

Keywords

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