ESTIMATING THE PARAMETERS OF A FUZZY LINEAR REGRESSION MODEL

Authors

  • A. R. Arabpour Faculty of Mathematics and Computer Sciences, Shahid Bahonar University of Kerman, Kerman, Iran
  • M. Tata 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.

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Journal title

volume 5  issue 2

pages  1- 19

publication date 2008-06-08

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