The universal approximation capability of fuzzy systems using translations and dilations of
one fixed function (called basis function) as their membership functions is discussed. Such …

Vague sets are a further extension of fuzzy sets. In rough set theory, target concept can be
characterized by different rough approximation spaces when it is a vague concept. The …

Sažetak 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 …

Many years of research in Artificial Intelligence, Cognitive Science and allied area reveal
that the cognitive process of human reasoning deals with imprecise premises. As cognitive …

Whether a rule-based fuzzy system has the ability to approximate any multivariate
continuous function arbitrarily well is an important issue, especially for fuzzy control and …

Many studies on modeling of fuzzy inference systems have been made. The issue of these
studies is to construct automatically fuzzy inference systems with interpretability and …

In the field of adaptive fuzzy control, there has been a severe deficiency by assuming the
premise variables will usually stay within the universe of discourse in the derivation of …

This paper is a critical reflection on various results in lileralure claiming that fuzzy systems
are universal approximators. For this purpose the most specific features of fuzzy systems are …

In this paper, the approximation properties of MIMO fuzzy systems generated by the product
inference are discussed. We first give an analysis of fuzzy basic functions (FBF's) and …