Modified multivariate F-transform based on B-splines

DOI

10.2991/eusflat-19.2019.101How to use a DOI?

Keywords

multivariate fuzzy transform B-spline extrapolation approximation error

Abstract

We deal with the higher degree multivariate fuzzy transforms (F-transforms with polynomial components) in the case when generalized fuzzy partition of the Cartesian product of intervals is given by multivariate B-splines. The aim of this paper is to generalize the technique of modified F-transform introduced previously for the univariate case to the multivariate case. The proposed modification allows to extend good approximation properties of the multivariate spline-based F-transform from the subset where the Ruspini condition is fulfilled to the whole initial domain.

Copyright

© 2019, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Martins Kokainis
AU  - Svetlana Asmuss
PY  - 2019/08
DA  - 2019/08
TI  - Modified multivariate F-transform based on B-splines
BT  - Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
PB  - Atlantis Press
SP  - 740
EP  - 747
SN  - 2589-6644
UR  - https://doi.org/10.2991/eusflat-19.2019.101
DO  - 10.2991/eusflat-19.2019.101
ID  - Kokainis2019/08
ER  -