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.
Keywords. Random Sets, possibility distributions, probability intervals, p-boxes, clouds.
Paper Download
The paper is availabe in the following formats:
Authors addresses:
Sebastien Destercke
CE Cadarache, bat 702
13115 Saint-Paul-Lez-Durance CEDEX
Didier Dubois
Porte 308
IRIT, Université Paul Sabatier,
118 route de Narbonne,
31062, Toulouse, cedex 4, FRANCE.
Eric Chojnacki
CE Cadarache Bat 702
BP 3 - 13115 Saint-Paul-Lez-Durance Cedex
E-mail addresses:
| Sebastien Destercke | desterck@irit.fr |
| Didier Dubois | dubois@irit.fr |
| Eric Chojnacki | eric.chojnacki@irsn.fr |