How to determine the minimum number of fuzzy rules to achieve given accuracy: a computational geometric approach to SISO case

DOI10.1016/j.fss.2004.06.011zbMath1067.68134OpenAlexW2087738854MaRDI QIDQ1770724

Feng Wan, Li-Xin Wang, You-Xian Sun, Huilan Shang

Publication date: 7 April 2005

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2004.06.011

zbMATH Keywords

Piecewise linear approximationComputational geometric methodFuzzy identificationRule reduction

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

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Linguistic composition based modelling by fuzzy networks with modular rule bases ⋮ SYSTEMATIC DESIGN PROCEDURE OF TS-TYPE FUZZY CONTROLLERS

Cites Work

• A practical guide to splines
• Universal approximation by hierarchical fuzzy systems
• Sufficient conditions on general fuzzy systems as function approximators
• Necessary conditions for some typical fuzzy systems as universal approximators
• A survey on universal approximation and its limits in soft computing techniques.
• Universal approximation bounds for superpositions of a sigmoidal function
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