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Approximation by multivariate higher degree F-transform based on B-splines

verfasst von: Martins Kokainis, Svetlana Asmuss

Erschienen in: Soft Computing | Ausgabe 13/2017

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Abstract

The paper deals with the integral and discrete versions of the direct and inverse higher degree fuzzy transforms (F-transforms) of multivariate functions. The aim is to generalize to the multidimensional case the results known for the univariate F-transforms with respect to a generalized fuzzy partition given by B-splines. We prove that using multivariate B-splines as the generating functions of multidimensional fuzzy partition allows to improve the quality of approximation of multivariate functions and their derivatives.

Vorheriger Artikel Weighted transform and approximation of some functions on unbounded sets

Nächster Artikel Continuous and discrete higher-degree F-transforms based on B-splines

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More precisely, of \( 2^d k_1 \ldots k_d \cdot \left( {\begin{array}{c}d+m\\ d\end{array}}\right) = O(1) \) such summands.

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Titel: Approximation by multivariate higher degree F-transform based on B-splines
verfasst von: Martins Kokainis
Svetlana Asmuss
Publikationsdatum: 01.06.2017
Verlag: Springer Berlin Heidelberg
Erschienen in: Soft Computing / Ausgabe 13/2017
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-017-2654-z

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