Fuzzy sets and systems

Abstract

This chapter reviews basic principles of the fuzzy sets and fuzzy logic as well as the inference methodology of the approximate reasoning and the extension principle theories that are fundamental parts of structure identification with traditional fuzzy rule base systems. Also presented is the "Fuzzy Functions" as defined in the literature and as presented in this work. Extensions of some well-known fuzzy inference systems including structures of well known hybrid fuzzy systems are also presented at the end of this chapter. © 2009 Springer-Verlag Berlin Heidelberg.