A Yosida--Hewitt decomposition for totally monotone set functions on locally compact σ -compact topological spaces

Authors:
Yann Rébillé
Affiliations:
Université Paris I, CERMSEM, 106-112 Boulevard de l'Hopital, 75647 Paris Cedex 13, France
Venue:
International Journal of Approximate Reasoning
Year:
2008

Citing 5
Cited 1

What is Dempster-Shafer's model?

Advances in the Dempster-Shafer theory of evidence
Decomposition and representation of coalitional games

Mathematics of Operations Research
Representation of the Choquet integral with &sgr;-additive Mo¨bius transform

Fuzzy Sets and Systems - Special issue on fuzzy measures and integrals
Fuzzy sets as a basis for a theory of possibility

Fuzzy Sets and Systems
A Yosida--Hewitt decomposition for minitive set functions

Fuzzy Sets and Systems

On the space of measurable functions and its topology determined by the Choquet integral

International Journal of Approximate Reasoning

Quantified Score

Hi-index	0.00

Visualization

Abstract

We prove for totally monotone set functions defined on the set of Borel sets of a locally compact @s-compact topological space a similar decomposition theorem to the famous Yosida-Hewitt's one for finitely additive measures. This way any totally monotone decomposes into a continuous part and a pathological part which vanishes on the compact subsets. We obtain as corollaries some decompositions for finitely additive set functions and for minitive set functions.