Purpose–The purpose of this paper is to answer the question that what the best shape of
fuzzy sets is in fuzzy systems for function approximation which is essential in many …

The shapes of if-part fuzzy sets affect the approximating capability of fuzzy systems. In this
paper, the fuzzy systems with the kernel-shaped if-part fuzzy sets are built directly from the …

A relationship between membership functions and approximation accuracy in fuzzy systems
Page 1 176 IEEE TRANSACTIONS ON SYSTEMS, MAN, AND CYBERNETICS-PART B …

This paper establishes the approximation error bounds for various classes of fuzzy systems
(ie, fuzzy systems generated by different inferential and defuzzification methods). Based on …

Since fuzzy sets were proposed by Zadeh, fuzzy systems theory has been successfully used
in many fields. In practical applications, based on a given approximation accuracy we can …

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 …

In a constructive way, we have found sufficient conditions under which general fuzzy
systems can uniformly approximate any real continuous function on a compact domain to …

The approximation capability of fuzzy systems is an important topic of research when the
systems are regarded as input-output maps. By using the notion of information-based …

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, the approximation problem of SISO fuzzy systems is discussed. Based on the
fact that fuzzy systems can be represented by a linear combination of fuzzy basic functions …