title: Fuzzy systems with defuzzification are universal approximators.
abstract: In this paper, we consider a fundamental theoretical question: Is it always possible to design a fuzzy system capable of approximating any real continuous function on a compact set with arbitrary accuracy? Moreover, we research whether the answer to the above question is positive when we restrict to a fixed (but arbitrary) type of fuzzy reasoning and to a subclass of fuzzy relations. This result can be viewed as an existence theorem of an optimal fuzzy system for a wide variety of problems.
authors.affiliation: Dept. de Ciencias de la Comput. e Inteligencia Artificial, Granada Univ.
authors.forename: J L
authors.initials: JL
authors.lastname: Castro
authors.forename: M
authors.initials: M
authors.lastname: Delgado