Second note on the theorem of Aleksandrov (Q2774518)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Second note on the theorem of Aleksandrov |
scientific article; zbMATH DE number 1713825
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Second note on the theorem of Aleksandrov |
scientific article; zbMATH DE number 1713825 |
Statements
28 February 2002
0 references
small system of sets
0 references
fuzzy sets
0 references
0 references
0 references
0 references
0 references
0.86492443
0 references
Second note on the theorem of Aleksandrov (English)
0 references
The paper deals with the classical assertion that a subadditive regular set function \(\mu \) is upper continuous in \(\emptyset \). The paper contains two strenghtenings: 1. Instead of sets, fuzzy sets are considered. 2. Instead of a real function \(\mu \), a so-called small system is used [see, e.g., \textit{B. Riečan} and \textit{T. Neubrunn}, ``Integral, measure, and ordering'' (1997; Zbl 0916.28001)].
0 references
