… resulting adaptive fuzzy systems approximate a battery of test functions. No one set shape
… in terms of the squared error (SE) of the function approximation for a constant learning rate . …

… In this paper we derived approximation rates for the KH interpolator and for its modification
the MACI method. The achieved results exploited the connection of Shepard and KH …

… It follows Chapter 4 on Fuzzy Ostrowski … Fuzzy Approximation. In Chapters 7(11 we develop
completely the theory of convergence with rates of Fuzzy Positive linear operators to Fuzzy …

… fuzzy sets affect the approximating capability of fuzzy systems. In this paper, the fuzzy systems
with the kernel-shaped if-part fuzzy sets … the uniform approximation rates among various …

… of the shape of the fuzzy sets in this paper. Based on the approximation rates, the relationship
… We will estimate the uniform approximation rate for the fuzzy system, where this rate is …

… set of fuzzy rules associated with similarity relations expressing closeness, and then we
consider the use of approximate … the similarity or approximate equality slightly deteriorates when …

… may find approximation bounds that let us compare the set functions in a formal sense.
Other research may explore how optimal learning rates [8] affect the function approximation. …

… -region approximation of a fuzzy set is constructed from a pair of thresholds ( α , β ) on the
fuzzy … In the framework of shadowed sets (ie, an example of three-way approximations of fuzzy …

… fuzzy set which are essential to the proposed approximation algorithms in this paper. 1) Finite
Support: The support of the fuzzy set … 2) Interval Core: The core of the fuzzy set is either a …

… Korovkin-type approximation theorem. Furthermore, we have established another result for
the fuzzy rate of convergence which is uniform in fuzzy Korovkin-type approximation theorem …