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On the relationships between random sets, possibility distributions, p-boxes and clouds


Congress title :28th Linz Seminar on Fuzzy Set Theory
Congress town :Linz
Congress date :06/02/2007

Document type > *Congrès/colloque

Keywords > clouds, p-boxes, possibilities, random sets

Research Unit > IRSN/DPAM/SEMIC/LIMSI

Authors > CHOJNACKI Eric, DESTERCKE Sébastien, DUBOIS Didier

Publication Date > 10/02/2007

Summary

There are many practical representations of probability families that make them easier to handle in applications. Among them are random sets, possibility distributions, Ferson's p-boxes and Neumaier's clouds. Both for theoretical and practical considerations, it is very useful to know whether one representation can be translated into or approximated by other ones. We first briefly recall formalisms and existing results, before exhibiting relationships between all these representations. In this note, which is a summary of an extended forthcoming paper, we restrict ourselves to representations on a finite set X = {x1, x2, ... , xn} of n elements.
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