Authors: Bouchachia, H.
The present chapter discusses fuzzy classification with a focus on rule-based classification systems (FRS). The chapter consists of two parts. The first part deals with type-1 fuzzy rule-based classification systems (FRCS). It introduces the steps of building such systems before overviewing their optimality quality in terms of performance, completeness, consistency, compactness, and transparency/interpretability. The second part discusses incremental and online FRCS providing insight into both online type-1 and type-2 FRCS both at the structural and functional levels.