6533b854fe1ef96bd12ae83e

RESEARCH PRODUCT

An integral representation for decomposable measures of measurable functions

Siegfried WeberSiegfried WeberErich Peter KlementErich Peter Klement

subject

Discrete mathematicsIntegral representationMarkov kernelMeasurable functionApplied MathematicsGeneral MathematicsDiscrete Mathematics and CombinatoricsInterval (graph theory)Type (model theory)Space (mathematics)Measure (mathematics)Mathematics

description

We start with a measurem on a measurable space (Ω,A), decomposable with respect to an Archimedeant-conorm ⊥ on a real interval [0,M], which generalizes an additive measure. Using the integral introduced by the second author, a Radon-Nikodym type theorem, needed in what follows, is given.

https://doi.org/10.1007/bf01832963