0559705 20230418205015.620220805235959.9 85130886800 000801845900001 10.3390/axioms11050240 10 s. E cav_un_epca*0559704AXIOMS11MDPI ∗-outer fuzzy measure t-norm ∗-fuzzy premeasure Caratheodory’s theorem cav_un_auth*0101163 Mesiar Radko UTIA-B Ekonometrie Department of Econometrics E E Department of Econometrics 25 K Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0348246 Li Ch. CN 25 cav_un_auth*0408156 Ghaffari A. IR 25 cav_un_auth*0434048 Saadati R. IR 25 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. WOS BA 10000 10100 10101 2023 4 RVO:67985556 https://hdl.handle.net/11104/0333420 S 240 3+4 Article Mathematics Applied A MATHEMATICS.APPLIED 1.9 0.7 1.6 0.00209 0.322 2032 0.388 1.800 822 Q2 74.7 Q4 Q4 1.11 Q1 74.7 2022 85130886800 SCOPUS PUBMED 000801845900001 WOS cav_un_epca*0559704 AXIOMS 2075-1680 Roč. 11 č. 5 2022 MDPI