Title :

Continuous Belief Functions: Focal Intervals Properties.

Author(s) :

Vannobel, Jean-Marc [Auteur]
LAGIS-SI

Conference title :

BELIEF 2012

City :

Compiègne

Country :

France

Start date of the conference :

2012-05-09

Book title :

Proceedings of the 2nd International Conference on Belief Functions: Theory and Applications

Publication date :

2012-05-11

English keyword(s) :

Continuous belief functions. Focal elements properties

HAL domain(s) :

Sciences de l'ingénieur [physics]/Automatique / Robotique

English abstract : [en]

The set of focal elements resulting from a conjunctive or disjunctive combination of consonant belief functions is regretfully not consonant and is thus very difficult to represent. In this paper, we propose a graphical ...
Show more >The set of focal elements resulting from a conjunctive or disjunctive combination of consonant belief functions is regretfully not consonant and is thus very difficult to represent. In this paper, we propose a graphical representation of the cross product of two focal sets originating from univariate Gaussian pdfs. This representation allows to represent initial focal intervals as well as focal intervals resulting from a combination operation. We show in case of conjunctive or disjunctive combination operations, that the whole domain can be separated in four subsets of intervals having same properties. At last, we focus on identical length focal intervals resulting from a combination. We show that such intervals are organized in connected line segments on our graphical representation.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

• Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL