Accéder directement au contenu Accéder directement à la navigation

# Implementing general belief function framework with a practical codification for low complexity

Abstract : In this chapter, we propose a new practical codification of the elements of the Venn diagram in order to easily manipulate the focal elements. In order to reduce the complexity, the eventual constraints must be integrated in the codification at the beginning. Hence, we only consider a reduced hyper power set $D_r^\Theta$ that can be $2^\Theta$ or $D^\Theta$. We describe all the steps of a general belief function framework. The step of decision is particularly studied, indeed, when we can decide on intersections of the singletons of the discernment space no actual decision functions are easily to use. Hence, two approaches are proposed, an extension of previous one and an approach based on the specificity of the elements on which to decide. The principal goal of this chapter is to provide practical codes of a general belief function framework for the researchers and users needing the belief function theory.
Keywords :
Type de document :
Chapitre d'ouvrage
Domaine :

Littérature citée [38 références]

https://hal.archives-ouvertes.fr/hal-00304125
Contributeur : Arnaud Martin <>
Soumis le : mardi 22 juillet 2008 - 15:48:07
Dernière modification le : vendredi 13 décembre 2019 - 10:42:04
Archivage à long terme le : : lundi 31 mai 2010 - 20:26:43

### Fichiers

BookV3_Implementing_Framework....
Fichiers produits par l'(les) auteur(s)

### Identifiants

• HAL Id : hal-00304125, version 1
• ARXIV : 0807.3483

### Citation

Arnaud Martin. Implementing general belief function framework with a practical codification for low complexity. Florentin Smarandache & Jean Dezert. Advances and Applications of DSmT for Information Fusion, American Research Press Rehoboth, pp.Pnd, 2008. ⟨hal-00304125⟩

### Métriques

Consultations de la notice

## 290

Téléchargements de fichiers