Higher Order Multivariate Fuzzy Approximation by basic Neural Network Operators
Here are studied in terms of multivariate fuzzy high approximation to the multivariate unit basic sequences of multivariate fuzzy neural network operators. These operators are multivariate fuzzy analogs of earlier studied multivariate real ones. The produced results generalize earlier real ones into...
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Universidad de La Frontera. Departamento de Matemática y Estadística.
2014
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oai:scielo:S0719-064620140003000032018-10-08Higher Order Multivariate Fuzzy Approximation by basic Neural Network OperatorsAnastassiou,George A multivariate fuzzy real analysis multivariate fuzzy neural network operators high order multivariate fuzzy approximation multivariate fuzzy modulus of continuity and multivariate Jackson type inequalities Here are studied in terms of multivariate fuzzy high approximation to the multivariate unit basic sequences of multivariate fuzzy neural network operators. These operators are multivariate fuzzy analogs of earlier studied multivariate real ones. The produced results generalize earlier real ones into the fuzzy setting. Here the high order multi-variate fuzzy pointwise convergence with rates to the multivariate fuzzy unit operator is established through multivariate fuzzy inequalities involving the multivariate fuzzy moduli of continuity of the Nth order (N <img border=0 width=28 height=21 src="http:/fbpe/img/cubo/v16n3/art03-a.jpg">1) H-fuzzy partial derivatives, of the engaged multivariate fuzzy number valued function.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.16 n.3 20142014-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000300003en10.4067/S0719-06462014000300003 |
institution |
Scielo Chile |
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Scielo Chile |
language |
English |
topic |
multivariate fuzzy real analysis multivariate fuzzy neural network operators high order multivariate fuzzy approximation multivariate fuzzy modulus of continuity and multivariate Jackson type inequalities |
spellingShingle |
multivariate fuzzy real analysis multivariate fuzzy neural network operators high order multivariate fuzzy approximation multivariate fuzzy modulus of continuity and multivariate Jackson type inequalities Anastassiou,George A Higher Order Multivariate Fuzzy Approximation by basic Neural Network Operators |
description |
Here are studied in terms of multivariate fuzzy high approximation to the multivariate unit basic sequences of multivariate fuzzy neural network operators. These operators are multivariate fuzzy analogs of earlier studied multivariate real ones. The produced results generalize earlier real ones into the fuzzy setting. Here the high order multi-variate fuzzy pointwise convergence with rates to the multivariate fuzzy unit operator is established through multivariate fuzzy inequalities involving the multivariate fuzzy moduli of continuity of the Nth order (N <img border=0 width=28 height=21 src="http:/fbpe/img/cubo/v16n3/art03-a.jpg">1) H-fuzzy partial derivatives, of the engaged multivariate fuzzy number valued function. |
author |
Anastassiou,George A |
author_facet |
Anastassiou,George A |
author_sort |
Anastassiou,George A |
title |
Higher Order Multivariate Fuzzy Approximation by basic Neural Network Operators |
title_short |
Higher Order Multivariate Fuzzy Approximation by basic Neural Network Operators |
title_full |
Higher Order Multivariate Fuzzy Approximation by basic Neural Network Operators |
title_fullStr |
Higher Order Multivariate Fuzzy Approximation by basic Neural Network Operators |
title_full_unstemmed |
Higher Order Multivariate Fuzzy Approximation by basic Neural Network Operators |
title_sort |
higher order multivariate fuzzy approximation by basic neural network operators |
publisher |
Universidad de La Frontera. Departamento de Matemática y Estadística. |
publishDate |
2014 |
url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000300003 |
work_keys_str_mv |
AT anastassiougeorgea higherordermultivariatefuzzyapproximationbybasicneuralnetworkoperators |
_version_ |
1714206790123520000 |