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Article

Аппроксимация функций с помощью нейронных сетей и нечетких систем

Проблемы управления. 2018. № 1. С. 21-29.
Шведов А. С.

This paper surveys some parts of approximation theory for functions of one and several real variables. Approximation of functions by algebraic polynomials is a classical theory. The paper contains some results from this theory. First results on approximation of functions by neural networks and fuzzy systems have appeared as responses on practical requirements. It was necessary to know is it possible to approximate an arbitrary continuous function by such aggregates. Later, these fields were developed like the theory of approximation of functions by algebraic polynomials. In this paper we consider some results on approximation of functions by neural networks and fuzzy systems.