Robust fuzzy varying coefficient regression model based on Huber loss function

Abstract

A generalized fuzzy regression model named fuzzy varying coefficient regression model is proposed by Shen et al. [14]. In this study, we introduce a fuzzy varying coefficient regression model based on Huber loss function and a kernel function. Unlike Shen et al.'s approach, the our approach is robust in the presence of outliers data. This advantage is examined by a numerical example.