High-order fuzzy approximation by fuzzy wavelet type and neural network operators

DOI10.1016/j.camwa.2004.10.028zbMath1071.41020OpenAlexW1967806218MaRDI QIDQ1776493

George A. Anastassiou

Publication date: 12 May 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.10.028

zbMATH Keywords

Jackson type inequalitiesFuzzy modulus of continuityFuzzy neural network operatorsFuzzy real analysisFuzzy wavelet type operatorsHigh-order fuzzy approximation

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Linear operators on function spaces (general) (47B38) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (7)

\(K\)-functionals and moduli of smoothness of functions defined on compact metric spaces ⋮ MULTIVARIATE FUZZY APPROXIMATION BY NEURAL NETWORK OPERATORS ACTIVATED BY A GENERAL SIGMOID FUNCTION ⋮ General theory of global smoothness and approximation by smooth singular operators ⋮ Lattice homomorphism inequalities for vector valued functions ⋮ Four-dimensional matrix transformation and A-statistical fuzzy Korovkin type approximation ⋮ Statistical fuzzy approximation by fuzzy positive linear operators ⋮ Global smoothness and uniform convergence of smooth Picard singular operators

Cites Work

• Elementary fuzzy calculus
• Differentials of fuzzy functions
• Rate of convergence of some neural network operators to the unit-univariate case
• Fuzzy sets
• Fuzzy differential equations
• On Henstock integral of fuzzy-number-valued functions. I
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