Title :

From set relations to belief function relations

Author(s) :

Destercke, Sébastien [Auteur]
Heuristique et Diagnostic des Systèmes Complexes [Compiègne] [Heudiasyc]
Pichon, Frédéric [Auteur]
Laboratoire de Génie Informatique et d'Automatique de l'Artois [LGI2A]
Klein, John [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]

Journal title :

International Journal of Approximate Reasoning

Pages :

46-63

Publisher :

Elsevier

Publication date :

2019-07

ISSN :

0888-613X

English keyword(s) :

set relations
belief functions
specificity
ranking
consistency

HAL domain(s) :

Physique [physics]/Physique [physics]/Analyse de données, Statistiques et Probabilités [physics.data-an]

English abstract : [en]

In uncertainty theories, a common problem is to define how we can extend relations between sets (e.g., inclusion, ranking, consistency, …) to corresponding notions between uncertainty representations. Such definitions can ...
Show more >In uncertainty theories, a common problem is to define how we can extend relations between sets (e.g., inclusion, ranking, consistency, …) to corresponding notions between uncertainty representations. Such definitions can then be used to perform the same operations as those that are done for sets: comparing information content, ordering alternatives or checking consistency, to name a few. In this paper, we propose a general way to extend set relations to belief functions, using constrained stochastic matrices to identify those belief functions in relation. We then study some properties of our proposal, as well as its connections with existing works focusing on specific relations.Show less >

Language :

Anglais

Popular science :

Non

Collections :

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

Source :

Harvested from HAL