Titre :

From set relations to belief function relations

Auteur(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]

Titre de la revue :

International Journal of Approximate Reasoning

Pagination :

46-63

Éditeur :

Elsevier

Date de publication :

2019-07

ISSN :

0888-613X

Mot(s)-clé(s) en anglais :

set relations
belief functions
specificity
ranking
consistency

Discipline(s) HAL :

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

Résumé en anglais : [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 ...
Lire la suite >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.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Collections :

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

Source :

Harvested from HAL