A note on universal approximation by hierarchical fuzzy systems
type: Item
instance of: scholarly article
title: A note on universal approximation by hierarchical fuzzy systems
zbMATH Open document ID: 0960.93029
DOI: 10.1016/S0020-0255(99)00126-7
author: Chen Wei
author: Lixin Wang
published in: Information Sciences
publication date: 2001-01-29T00:00:00Z
review text: In neural networks, multivariable functions are built up by using single-variable functions to transform high-dimensional problems into low-dimensional ones. Here, starting from the same idea, it is shown, by means of a constructive proof, that any continuous function of an \(n\)-dimensional variable on a compact set can be approximated by a hierarchical fuzzy system. The fuzzy system considered here is not the standard one, but rather is an alternative one defined as a weighted combination of memberships functions.
Mathematics Subject Classification ID: 93C42
zbMATH DE Number: 1478247
zbMATH Keywords: approximation
zbMATH Keywords: hierarchical fuzzy system
reviewed by: Guy Jumarie
MaRDI profile type: Publication
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full work available at URL: s0020-0255(99)00126-7
OpenAlex ID: W2132733723
description: scientific article; zbMATH DE number 1478247