Fuzzy Inference Systems

This chapter mainly describes the fundamental concepts of the fuzzy inference systems. It starts with fuzzy sets, fuzzifier, fuzzy inference engine and defuzzifier. Then, two commonly used fuzzy systems, viz., Mamdani and Takagi-Sugeno fuzzy systems are introduced. Based on these, the general structure representing the two kinds of fuzzy inference systems with any fuzzy membership functions and fuzzy inference engine is presented in the chapter. Finally, different from Mamdani and Takagi-Sugeno fuzzy systems, a novel fuzzy system called Anya fuzzy system with the data clouds representing the fuzzy antecedence is described in the chapter. These constitute the basis of subsequent researches of the book.