A smoothing filter based on fuzzy transform

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dc.contributor.author Holčapek, Michal
dc.contributor.author Tichý, Tomáš
dc.date.accessioned 2011-09-02T11:26:45Z
dc.date.available 2011-09-02T11:26:45Z
dc.date.issued 2011
dc.identifier.citation Fuzzy sets and systems. 2011, vol. 180, issue 1, p. 69-97. cs
dc.identifier.issn 0165-0114
dc.identifier.uri http://hdl.handle.net/10084/89110
dc.description.abstract his 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. cs
dc.format.extent 1455413 bytes cs
dc.format.mimetype application/pdf cs
dc.language.iso en cs
dc.publisher Elsevier cs
dc.relation.ispartofseries Fuzzy sets and systems cs
dc.relation.uri http://dx.doi.org/10.1016/j.fss.2011.05.028 cs
dc.subject fuzzy transform cs
dc.subject fuzzy partition cs
dc.subject Nadaraya–Watson estimator cs
dc.subject Kernel regression cs
dc.subject Noise reduction cs
dc.subject financial returns cs
dc.title A smoothing filter based on fuzzy transform cs
dc.type Article cs
dc.identifier.location Není ve fondu ÚK cs
dc.identifier.doi 10.1016/j.fss.2011.05.028
dc.rights.access openAccess en
dc.type.version submittedVersion en
dc.identifier.wos 000294072000006

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