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Fuzzy Caratheodory's Theorem and Outer *-Fuzzy Measure
- 1.0559705 - ÚTIA 2023 RIV CH eng J - Journal Article
Mesiar, Radko - Li, Ch. - Ghaffari, A. - Saadati, R.
Fuzzy Caratheodory's Theorem and Outer *-Fuzzy Measure.
AXIOMS. Roč. 11, č. 5 (2022), č. článku 240. E-ISSN 2075-1680
Institutional support: RVO:67985556
Keywords : ∗-outer fuzzy measure * t-norm * ∗-fuzzy premeasure * Caratheodory’s theorem
OECD category: Pure mathematics
Impact factor: 2, year: 2022
Method of publishing: Open access
http://library.utia.cas.cz/separaty/2022/E/mesiar-0559705.pdf https://www.mdpi.com/2075-1680/11/5/240
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.
Permanent Link: https://hdl.handle.net/11104/0333420
Number of the records: 1