Rough c-Regression Based on Optimization of Objective Function

Abstract

AbstractClustering which is one of the pattern recognition methods is a technique automatically classifying data into some clusters. Various types of clustering are divided broadly into hierarchical and non-hierarchical clustering and crisp and fuzzy set theories have been applied to non-hierarchical clustering. Recently, clustering based on rough set theory has been attracted. Rough clustering represents a cluster by using two layers, i.e., upper and lower approximations. This paper proposes a c-regression method based on rough set representation which does regression analysis and clustering at the same time. Moreover, its effectiveness is shown through numerical examples.