ABSTRACT
This chapter presents a brief description of different types of fuzzy systems. It explains the function approximation capability and fuzzy basis functions (FBF) representation of fuzzy systems. Fuzzy systems are categorized into three classes: pure fuzzy systems, Takagi–Sugeno fuzzy systems, and fuzzifier–defuzzifier fuzzy systems. Control engineering applications rely on the information available from two basic sources: the numerical data available from sensors and the descriptive information available from human experts. The numerical information can be used in conventional control systems. However, the linguistic information cannot be used directly in the conventional controller design. In order to incorporate this type of information in control systems, a methodology is needed to represent this information in a quantified way. Different fuzzy systems have been extensively used to represent the linguistic information. Pure Fuzzy Systems consists of two main parts, fuzzy rule base and fuzzy inference mechanism.
