Atoms of fuzzy measures and fuzzy integrals (Q1175744)
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: Atoms of fuzzy measures and fuzzy integrals |
scientific article; zbMATH DE number 14442
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Atoms of fuzzy measures and fuzzy integrals |
scientific article; zbMATH DE number 14442 |
Statements
Atoms of fuzzy measures and fuzzy integrals (English)
0 references
25 June 1992
0 references
A concept of \(m\)-continuity is introduced. It is one of the generalizations of the concept of absolute continuity in classical measure theory. Also, the concepts of atom (with respect to a fuzzy measure) and null additivity are used, and whereby, the structure of fuzzy measure space is discussed. Furthermore, a Riemann type fuzzy integral is defined. It is proved that the Riemann type fuzzy integral is equivalent to the Sugeno integral when the integrand is continuous.
0 references
atoms
0 references
\(m\)-continuity
0 references
fuzzy measure
0 references
null additivity
0 references
Riemann type fuzzy integral
0 references
Sugeno integral
0 references
