Reconstruction of Lattice-Valued Functions by Integral Transforms

Kód výsledku v 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>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Reconstruction of Lattice-Valued Functions by Integral Transforms

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Reconstruction of Lattice-Valued Functions by Integral Transforms

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/EF17_049%2F0008414" target="_blank" >EF17_049/0008414: Centrum pro výzkum a vývoj metod umělé intelligence v automobilovém průmyslu regionu</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

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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Počet stran výsledku

8

Strana od-do

1-8

Název nakladatele

CEUR Workshop proceedings

Místo vydání

Aachen, Germany

Místo konání akce

Vietri Sul Mare, Itálie

Datum konání akce

20. 12. 2021

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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