Statistical analysis of a smoothing filter based on fuzzy transform

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F11%3A86079337" target="_blank" >RIV/61989100:27510/11:86079337 - isvavai.cz</a>
Alternative codes found
RIV/61988987:17610/11:A12012TA
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Statistical analysis of a smoothing filter based on fuzzy transform
Original language description
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.
Czech name
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Czech description
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Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011) and LFA-2011, Advances in Intelligent Systems Research
ISBN
978-90-78677-00-0
ISSN
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e-ISSN
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Number of pages
8
Pages from-to
472-479
Publisher name
Atlantis Press
Place of publication
Paris
Event location
Aix-Les-Bains
Event date
Jul 18, 2011
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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