Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)

On approximation properties of spline based F-transform with respect to fuzzy m-partition

Authors
Irina Kodorane, Svetlana Asmuss
Corresponding Author
Irina Kodorane
Available Online August 2013.
DOI
https://doi.org/10.2991/eusflat.2013.115How to use a DOI?
Keywords
Fuzzy partition Spline Generalized fuzzy partition Fuzzy transform Approximation property Approximation of derivatives
Abstract

In this paper we develop spline based F-transforms by considering fuzzy partitions given by polynomial splines. We investigate approximation properties of such F-transforms and prove that using generalized fuzzy m-partition, which consists of basic functions of bandwidth m, allows us to approximate not only original function, but also its derivatives.

Copyright
© 2013, 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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Volume Title
Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
Series
Advances in Intelligent Systems Research
Publication Date
August 2013
ISBN
978-90786-77-78-9
ISSN
1951-6851
DOI
https://doi.org/10.2991/eusflat.2013.115How to use a DOI?
Copyright
© 2013, 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/).

Cite this article

TY  - CONF
AU  - Irina Kodorane
AU  - Svetlana Asmuss
PY  - 2013/08
DA  - 2013/08
TI  - On approximation properties of spline based F-transform with respect to fuzzy m-partition
BT  - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
PB  - Atlantis Press
SP  - 812
EP  - 819
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2013.115
DO  - https://doi.org/10.2991/eusflat.2013.115
ID  - Kodorane2013/08
ER  -