21828 articles – 15613 Notices  [english version]

hal-00088708, version 1

Order in Dezert Smarandache Theory; definition of continuous Dezert Smarandache models

Frederic Dambreville () 1

Résumé : When implementing the DSmT, a difficulty may arise from the possible huge dimension of hyperpower sets, which are indeed free structures. However, it is possible to reduce the dimension of these structures by involving logical constraints. In this chapter, the logical constraints will be related to a predefined order over the logical propositions. The use of such orders and their resulting logical constraints will ensure a great reduction of the model complexity. Such results will be applied to the definition of continuous DSm models. In particular, a simplified description of the continuous impreciseness is considered, based on impreciseness intervals of the sensors. From this viewpoint, it is possible to manage the contradictions between continuous sensors in a DSmT manner, while the complexity of the model stays handlable.

  • 1 :  CEP Arcueil (DGA/CTA/DT/GIP)
  • Délégation Générale pour l'Armement
  • Domaine : Mathématiques/Statistiques
    Mathématiques/Probabilités
    Informatique/Logique en informatique
  • Mots-clés : DSmT – Continuous Evidence – Evidence Theories – pre-Boolean algebra – Data fusion
 
  • hal-00088708, version 1
  • oai:hal.archives-ouvertes.fr:hal-00088708
  • Contributeur : 
  • Soumis le : Vendredi 4 Août 2006, 09:01:32
  • Dernière modification le : Vendredi 4 Août 2006, 09:18:10