Fuzzy Caratheodory's Theorem and Outer *-Fuzzy Measure

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F22%3A00559705" target="_blank" >RIV/67985556:_____/22:00559705 - isvavai.cz</a>
Výsledek na webu
<a href="https://www.mdpi.com/2075-1680/11/5/240" target="_blank" >https://www.mdpi.com/2075-1680/11/5/240</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/axioms11050240" target="_blank" >10.3390/axioms11050240</a>

Jazyk výsledku
angličtina
Název v původním jazyce
Fuzzy Caratheodory's Theorem and Outer *-Fuzzy Measure
Popis výsledku v původním jazyce
The goal of this paper is to introduce two new concepts ∗-fuzzy premeasure and outer ∗-fuzzy measure, and to further prove some properties, such as Caratheodory’s Theorem, as well as the unique extension of ∗-fuzzy premeasure. This theorem is remarkable for it allows one to construct a ∗-fuzzy measure by first defining it on a small algebra of sets, where its ∗-additivity could be easy to verify, and then this theorem guarantees its extension to a sigma-algebra.
Název v anglickém jazyce
Fuzzy Caratheodory's Theorem and Outer *-Fuzzy Measure
Popis výsledku anglicky
The goal of this paper is to introduce two new concepts ∗-fuzzy premeasure and outer ∗-fuzzy measure, and to further prove some properties, such as Caratheodory’s Theorem, as well as the unique extension of ∗-fuzzy premeasure. This theorem is remarkable for it allows one to construct a ∗-fuzzy measure by first defining it on a small algebra of sets, where its ∗-additivity could be easy to verify, and then this theorem guarantees its extension to a sigma-algebra.

Projekt
—
Návaznosti
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění
2022
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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