Fuzzy systems with overlapping Gaussian concepts: Approximation properties in Sobolev norms
type: Item
instance of: scholarly article
title: Fuzzy systems with overlapping Gaussian concepts: Approximation properties in Sobolev norms
zbMATH Open document ID: 1027.93025
DOI: 10.1016/S0165-0114(01)00083-5
author: Riccardo Rovatti
author: Giancarlo Ferrari-Trecate
published in: Fuzzy Sets and Systems
publication date: 2003-02-05T00:00:00Z
review text: The approximating capabilities of fuzzy systems with overlapping Gaussian concepts are considered. The target function is assumed to be sampled either on a regular grid or according to a uniform probability density. By exploiting a connection with radial basis functions approximators, a new method for the computation of the system coefficients is provided, showing that it guarantees uniform approximation of the derivatives of the target function.
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93A30
Mathematics Subject Classification ID: 92B20
zbMATH DE Number: 1864829
zbMATH Keywords: learning
zbMATH Keywords: fuzzy system models
zbMATH Keywords: neuro-fuzzy systems
zbMATH Keywords: radial basis functions
zbMATH Keywords: reproducing kernel Hilbert spaces
zbMATH Keywords: approximation
zbMATH Keywords: derivatives
MaRDI profile type: Publication
cites work: Theory of Reproducing Kernels
cites work: Universal fuzzy controllers
cites work: Q3848301
cites work: Consistent identification of NARX models via regularization networks
cites work: Fuzzy systems as universal approximators
cites work: Regularization Algorithms for Learning That Are Equivalent to Multilayer Networks
cites work: Practical Approximate Solutions to Linear Operator Equations When the Data are Noisy
cites work: Q3996207
description: scientific article; zbMATH DE number 1864829