This paper investigates the capabilities of hierarchical fuzzy systems to approximate
functions on discrete input spaces. First, it is shown that any function on a discrete space has …

Universal fuzzy approximators can be used in a practical fuzzy system. We introduce the rule-
intersection operator, and list 23 rule-intersection operators. A kind of rule-intersection …

In order to analyze the reliabilities of the fuzzy systems, the reliabilities of the components in
the fuzzy systems are represented by real values between zero and one, fuzzy numbers …

This paper shows a basic and original fuzzy reasoning method that can draw a novel study
direction of the approximate inference in fuzzy systems with uncertainty. Firstly we propose a …

It is constructively proved that the multi-input–multi-output fuzzy systems based upon
genuine many-valued implications are universal approximators (they are called Boolean …

This paper discusses the capabilities of standard hierarchical fuzzy systems to approximate
continuous functions with natural hierarchical structure. The separable approximation …

This paper reports on a related study on approximation theory of fuzzy systems. First, some
basic principles are presented to construct membership functions. Then, an approach is …

In this paper, we discuss the approximation properties of fuzzy systems and present several
basic approximation properties of fuzzy systems. Because these results are obtained under …

The basic idea presented in this paper is to enable fuzzy set representation of chosen
variable to self-adjust its universe of discourse based on its experience gained through …