Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)

Statistical analysis of a smoothing filter based on fuzzy transform

Authors
Michal Holcapek, Tomáš Tichý
Corresponding Author
Michal Holcapek
Available Online August 2011.
DOI
https://doi.org/10.2991/eusflat.2011.27How to use a DOI?
Keywords
Fuzzy transform, smoothing filter, statistical analysis, white noise reduction
Abstract
The paper is devoted to the smoothing of discrete functions using the fuzzy transform (shortly, Ftransform) introduced by Perfilieva in [1]. We generalize a smoothing filter based on the fuzzy transform proposed in [2] to obtain a better control on the smoothed functions. For this purpose, a generalization of the concept of fuzzy partition is suggested and the smoothing filter is defined as a combination of the direct discrete F-transform and a slightly modified inverse continuous F-transform. Statistical properties including the description of the white noise reduction and the asymptotic expression of Bias and Var are investigated and discussed.
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Proceedings
Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2011
ISBN
978-90-78677-00-0
ISSN
1951-6851
DOI
https://doi.org/10.2991/eusflat.2011.27How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Michal Holcapek
AU  - Tomáš Tichý
PY  - 2011/08
DA  - 2011/08
TI  - Statistical analysis of a smoothing filter based on fuzzy transform
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 472
EP  - 479
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.27
DO  - https://doi.org/10.2991/eusflat.2011.27
ID  - Holcapek2011/08
ER  -