Relating Imprecise Representations of imprecise Probabilities

Sébastien Destercke (1, 2) , Didier Dubois (2, 3) , Eric Chojnacki (1)

1 IRSN - Institut de Radioprotection et de Sûreté Nucléaire
2 IRIT-ADRIA - Argumentation, Décision, Raisonnement, Incertitude et Apprentissage
3 CNRS - Centre National de la Recherche Scientifique

There exist many practical representations of probability families that make them easier to handle. Among them are random sets, possibility distributions, probability intervals, Ferson's p-boxes and Neumaier's clouds. Both for theoretical and practical considerations, it is important to know whether one representation has the same expressive power than other ones, or can be approximated by other ones. In this paper, we mainly study the relationships between the two latter representations and the three other ones.

Mots clés: Random Sets; possibility distributions; probability intervals; p-boxes; clouds

Domaines: Autre [cs.OH]; Probabilités [math.PR]; Intelligence artificielle [cs.AI]

Sébastien Destercke, Didier Dubois, Eric Chojnacki. Relating Imprecise Representations of imprecise Probabilities. fifth international symposium on imprecise probability: theories and applications, 2007, Prague, Czech Republic. pp.155-165. ⟨irsn-00196674v2⟩