Cut systems in sets with similarity relations

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F10%3AA1100WR6" target="_blank" >RIV/61988987:17610/10:A1100WR6 - isvavai.cz</a>
Výsledek na webu
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DOI - Digital Object Identifier
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Jazyk výsledku
čeština
Název v původním jazyce
Cut systems in sets with similarity relations
Popis výsledku v původním jazyce
The aim of the paper is to find some analogies between alpha-cuts systems in a classical fuzzy set theory and some nested systems of subsets defined in sets with similarity relations.We prove that any set A with similarity relation with values in complete residuated lattice can be uniquely defined by a special system of nested subsets in A x A. Using some nested systems we can also define fuzzy sets in sets with similarity relations and we show that these fuzzy sets correspond to fuzzy sets classicallydefined.
Název v anglickém jazyce
Cut systems in sets with similarity relations
Popis výsledku anglicky
The aim of the paper is to find some analogies between alpha-cuts systems in a classical fuzzy set theory and some nested systems of subsets defined in sets with similarity relations.We prove that any set A with similarity relation with values in complete residuated lattice can be uniquely defined by a special system of nested subsets in A x A. Using some nested systems we can also define fuzzy sets in sets with similarity relations and we show that these fuzzy sets correspond to fuzzy sets classicallydefined.

Druh
J<sub>x</sub> - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
CEP obor
BA - Obecná matematika
OECD FORD obor
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Rok uplatnění
2010
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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