Reconstruction of Lattice-Valued Functions by Integral Transforms
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F21%3AA2202CAN" target="_blank" >RIV/61988987:17610/21:A2202CAN - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Reconstruction of Lattice-Valued Functions by Integral Transforms
Original language description
Fuzzy transforms provide a powerful tool for reconstructing functions from compressed values called the components of fuzzy transform. Lower and upper fuzzy transforms were introduced for residuated lattice-valued functions, and it has been shown that their composition results in either upper or lower approximation of the original function depending on the order of the types of fuzzy transforms in the composition. Currently, a generalization of lower and upper fuzzy transforms was proposed using Sugeno-like integrals and fuzzy kernel relations imitating the standard integral transforms as Fourier or Laplace transforms. The paper presents preliminary results showing that a composition of two integral transforms can approximate an original function similarly as in the case of fuzzy transforms. In addition, we demonstrate that reconstruction based on integral transformations can filter outliers in a lattice-valued function.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/EF17_049%2F0008414" target="_blank" >EF17_049/0008414: Centre for the development of Artificial Intelligence Methods for the Automotive Industry of the region</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
WILF 2021 - Proceedings of the 13th International Workshop on Fuzzy Logic and Applications
ISBN
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ISSN
1613-0073
e-ISSN
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Number of pages
8
Pages from-to
1-8
Publisher name
CEUR Workshop proceedings
Place of publication
Aachen, Germany
Event location
Vietri Sul Mare, Itálie
Event date
Dec 20, 2021
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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