A smoothing filter based on fuzzy transform
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F11%3A86079729" target="_blank" >RIV/61989100:27510/11:86079729 - isvavai.cz</a>
Alternative codes found
RIV/61988987:17610/11:A1200ZS0
Result on the web
<a href="http://dx.doi.org/10.1016/j.fss.2011.05.028" target="_blank" >http://dx.doi.org/10.1016/j.fss.2011.05.028</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2011.05.028" target="_blank" >10.1016/j.fss.2011.05.028</a>
Alternative languages
Result language
angličtina
Original language name
A smoothing filter based on fuzzy transform
Original language 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.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BB - Applied statistics, operational research
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Fuzzy sets and systems
ISSN
0165-0114
e-ISSN
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Volume of the periodical
180
Issue of the periodical within the volume
1
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
29
Pages from-to
69-97
UT code for WoS article
000294072000006
EID of the result in the Scopus database
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