About: A smoothing filter based on fuzzy transform

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	This paper is devoted to the smoothing of discrete functions using the fuzzy transform introduced by Perfilieva. We generalize a smoothing filter based on the fuzzy transform recently proposed by us 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 fuzzy transform and a slightly modified inverse continuous fuzzy transform. An approximation behavior, total variation of smoothed functions and statistical properties including the description of the white noise reduction and the asymptotic expression of bias and variance are investigated and discussed. The proposed filter is compared with the Nadaraya–Watson estimator and the results are illustrated assuming financial data. This paper is devoted to the smoothing of discrete functions using the fuzzy transform introduced by Perfilieva. We generalize a smoothing filter based on the fuzzy transform recently proposed by us 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 fuzzy transform and a slightly modified inverse continuous fuzzy transform. An approximation behavior, total variation of smoothed functions and statistical properties including the description of the white noise reduction and the asymptotic expression of bias and variance are investigated and discussed. The proposed filter is compared with the Nadaraya–Watson estimator and the results are illustrated assuming financial data. (en)
Title	A smoothing filter based on fuzzy transform A smoothing filter based on fuzzy transform (en)
skos:prefLabel	A smoothing filter based on fuzzy transform A smoothing filter based on fuzzy transform (en)
skos:notation	RIV/61989100:27510/11:86079729!RIV12-GA0-27510___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(1M0572), P(GA402/08/1237)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Tichý, Tomáš
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoká škola báňská - Technická univerzita Ostrava / Ekonomická fakulta
http://linked.open...dnocenehoVysledku	184158
http://linked.open...ai/riv/idVysledku	RIV/61989100:27510/11:86079729
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Financial returns; Noise reduction; Kernel regression; Nadaraya–Watson estimator; Fuzzy partition; Fuzzy transform (en)
http://linked.open.../riv/klicoveSlovo	Financial returns Fuzzy partition Fuzzy transform Kernel regression Nadaraya–Watson estimator Noise reduction
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[F804C3775980]
http://linked.open...i/riv/nazevZdroje	Fuzzy sets and systems
http://linked.open...in/vavai/riv/obor	BB
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Data, algorithms, decision making Application of complex Lévy processes in modeling of financial assets prices
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	180
http://linked.open...iv/tvurceVysledku	Michal, Holčapek Tichý, Tomáš
http://linked.open...ain/vavai/riv/wos	000294072000006
issn	0165-0114
number of pages	29 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.fss.2011.05.028
http://localhost/t...ganizacniJednotka	27510

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