Outliers detection method in fuzzy regression

Abstract

In the article we propose a method of outliers identification in fuzzy regression. The outliers which occur in the sample may have an important influence on the form of regression equation. That is the reason of a great scientific interest in this issue. Presented method is an equivalent of the method of finding outliers basing on the studentized residuals distribution. To identify outliers there are regression models constructed with an additional explanatory variable for each observation. Next, the significance of fuzzy regression coefficient is analysed considering the additional explanatory variable. The illustrating examples are presented.fuzzy regression, outliers, possibility theory