On the Choquet integral for Riesz space valued measure (Q2774491)
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: On the Choquet integral for Riesz space valued measure |
scientific article; zbMATH DE number 1713802
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Choquet integral for Riesz space valued measure |
scientific article; zbMATH DE number 1713802 |
Statements
28 February 2002
0 references
Choquet integral
0 references
Riesz space
0 references
vector measure
0 references
belief measure
0 references
plausibility measure
0 references
Möbius transform
0 references
On the Choquet integral for Riesz space valued measure (English)
0 references
The Choquet integral for a real function with respect to a complete Riesz space valued fuzzy measure is defined and the Choquet integral is equal to the Lebesgue integral in the case \(\sigma \)-additivity of fuzzy measure is proved. As applications there are presented: the constructions of vector valued belief and plausibility measures, the formulation of the Wierman extension principle, and the Möbius transform for vector valued measure.
0 references
