Fuzzy Caratheodory's Theorem and Outer *-Fuzzy Measure
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Fuzzy Caratheodory's Theorem and Outer *-Fuzzy Measure
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
AXIOMS
ISSN
2075-1680
e-ISSN
2075-1680
Volume of the periodical
11
Issue of the periodical within the volume
5
Country of publishing house
CH - SWITZERLAND
Number of pages
10
Pages from-to
240
UT code for WoS article
000801845900001
EID of the result in the Scopus database
2-s2.0-85130886800