Analysis of approximation of continuous fuzzy functions by multivariate fuzzy polynomials

DOI10.1016/S0165-0114(01)00079-3zbMath1011.41009MaRDI QIDQ1605082

Puyin Liu

Publication date: 11 July 2002

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

zbMATH Keywords

cut-preserving fuzzy mappingBernstein polynomialfuzzy polynomial

Mathematics Subject Classification ID

Approximation by other special function classes (41A30)

Related Items (7)

Universal approximation of polygonal fuzzy neural networks in sense of \(K\)-integral norms ⋮ Kernel shapes of fuzzy sets in fuzzy systems for function approximation ⋮ Numerical solution of a system of fuzzy polynomials by fuzzy neural network ⋮ Fuzzy Fourier transforms and their application to fingerprint identification ⋮ Computing real solutions of fuzzy polynomial systems ⋮ Statistical fuzzy approximation by fuzzy positive linear operators ⋮ Approximation by fuzzy B-spline series

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• Can neural nets be universal approximators for fuzzy functions?
• Approximation capability of regular fuzzy neural networks to continuous fuzzy functions
• Analyses of regular fuzzy neural networks for approximation capabilities
• A fuzzy Lagrange interpolation theorem
• Can fuzzy neural nets approximate continuous fuzzy functions?

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