Fuzzy systems have found widespread application in several contexts and proved their suitability in tackling a number of diverse real-world problems. However, the realization of such systems must be well grounded on some solid theoretical bases that scientists and developers should properly master. In this chapter we discuss the key elements of fuzzy systems, as well as the different instances of their implementation. To this aim, an overview of Fuzzy Set Theory is preliminarily proposed, as an indispensable foundation which is useful to fix the basic concepts, the mathematical underpinning, and the formal notation. In this way, we are able to suitably introduce the concept of fuzzy rule-based systems, illustrating the different components involved in their structure. We review also various types of fuzzy rule-based systems, focusing a special attention on details related to the design of interpretable models.
An Overview of Fuzzy Systems
Castiello, Ciro;Mencar, Corrado
2021-01-01
Abstract
Fuzzy systems have found widespread application in several contexts and proved their suitability in tackling a number of diverse real-world problems. However, the realization of such systems must be well grounded on some solid theoretical bases that scientists and developers should properly master. In this chapter we discuss the key elements of fuzzy systems, as well as the different instances of their implementation. To this aim, an overview of Fuzzy Set Theory is preliminarily proposed, as an indispensable foundation which is useful to fix the basic concepts, the mathematical underpinning, and the formal notation. In this way, we are able to suitably introduce the concept of fuzzy rule-based systems, illustrating the different components involved in their structure. We review also various types of fuzzy rule-based systems, focusing a special attention on details related to the design of interpretable models.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
