Geometric clustering fuzzy regression based on c-means clustering

Abstract

In this paper, we present an approach to fit some clustering fuzzy linear regression models based on the fuzzy response variable and fuzzy parameters. In this approach, we first introduce a method for clustering crisp/fuzzy data based on fuzzy c-means clustering, and then, we fit some clustering fuzzy regression models based on the geometric mean. The optimal clustering fuzzy regression models are evaluated under two indices of goodness of fit. The applications of the proposed approach are studied in modeling some real data sets.