On approximation properties of spline based F-transform with respect to fuzzy m-partition
Irina Kodorane, Svetlana Asmuss
Available Online August 2013.
- 10.2991/eusflat.2013.115How to use a DOI?
- Fuzzy partition Spline Generalized fuzzy partition Fuzzy transform Approximation property Approximation of derivatives
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.
- © 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 - 10.2991/eusflat.2013.115 ID - Kodorane2013/08 ER -