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Abstract: There exist several simple representations of uncertainty that are easier tohandle than more general ones. Among them are random sets, possibilitydistributions, probability intervals, and more recently Ferson-s p-boxes andNeumaier-s clouds. Both for theoretical and practical considerations, it isvery useful to know whether one representation is equivalent to or can beapproximated by other ones. In this paper, we define a generalized form ofusual p-boxes. These generalized p-boxes have interesting connections withother previously known representations. In particular, we show that they areequivalent to pairs of possibility distributions, and that they are specialkinds of random sets. They are also the missing link between p-boxes andclouds, which are the topic of the second part of this study.



Autor: Sebastien Destercke, Didier Dubois, Eric Chojnacki

Fuente: https://arxiv.org/







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