Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
389670 | Fuzzy Sets and Systems | 2015 | 25 Pages |
Abstract
In classical measure theory there are a number of convergence theorems, such as the Egorov, the Riesz and the Lusin theorem, among others. We consider monotone measures (i.e., monotone set functions vanishing in the empty set and defined on a measurable space) and discuss, how and to which extent classical convergence theorems can be carried over to this more general case.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Jun Li, Radko Mesiar, Endre Pap, Erich Peter Klement,