Geodesic
Soft Carathéodory extension theorem and soft outer measure
Filomat, Tome 37 (2023) no. 17, p. 5581

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

Molodsov defined the concept of a soft set, which is widely used when drawing conclusionsif we have unclear, incomplete and imprecise information. Soft set theory became an interest of many researchers who defined new concepts such as soft measure, soft σ-algebra, soft premeasure, soft outer measure, soft content, etc. In this paper, it was shown that with a certain extension, we can construct a soft measure on the obtained soft σ-algebra starting from a soft premeasure on a soft semiring.
DOI : 10.2298/FIL2317581L
Classification : 06D72
Keywords: Soft σ-algebra, Soft semiring, Soft measure, Soft premeasure, Soft outer measure, Carathéodory theorem 
Maja Laković; Nemanja Vučićević; Nenad Stojanović. Soft Carathéodory extension theorem and soft outer measure. Filomat, Tome 37 (2023) no. 17, p. 5581 . doi: 10.2298/FIL2317581L
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     title = {Soft {Carath\'eodory} extension theorem and soft outer measure},
     journal = {Filomat},
     pages = {5581 },
     year = {2023},
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     number = {17},
     doi = {10.2298/FIL2317581L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2317581L/}
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