UNIFYING PRACTICAL UNCERTAINTY REPRESENTATIONS: I. GENERALIZED P-BOXES - IRSN - Institut de radioprotection et de sûreté nucléaire Accéder directement au contenu
Article Dans Une Revue International Journal of Approximate Reasoning Année : 2008

UNIFYING PRACTICAL UNCERTAINTY REPRESENTATIONS: I. GENERALIZED P-BOXES

Résumé

There exist several simple representations of uncertainty that are easier to handle than more general ones. Among them are random sets, possibility distributions, probability intervals, and more recently Ferson's p-boxes and Neumaier's clouds. Both for theoretical and practical considerations, it is very useful to know whether one representation is equivalent to or can be approximated by other ones. In this paper, we define a generalized form of usual p-boxes. These generalized p-boxes have interesting connections with other previously known representations. In particular, we show that they are equivalent to pairs of possibility distributions, and that they are special kinds of random sets. They are also the missing link between p-boxes and clouds, which are the topic of the second part of this study.
Fichier principal
Vignette du fichier
JournalArticle_Part1_rev2.pdf (290.14 Ko) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte

Dates et versions

irsn-00311696 , version 1 (20-08-2008)

Identifiants

Citer

Sébastien Destercke, Didier Dubois, Eric Chojnacki. UNIFYING PRACTICAL UNCERTAINTY REPRESENTATIONS: I. GENERALIZED P-BOXES. International Journal of Approximate Reasoning, 2008, pp.29. ⟨10.1016/j.ijar.2008.07.003⟩. ⟨irsn-00311696⟩
388 Consultations
454 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More