UNIFYING PRACTICAL UNCERTAINTY REPRESENTATIONS: I. GENERALIZED P-BOXES

Abstract : 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.
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International Journal of Approximate Reasoning, Elsevier, 2008, pp.29. 〈10.1016/j.ijar.2008.07.003〉
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Soumis le : mercredi 20 août 2008 - 15:54:55
Dernière modification le : jeudi 11 janvier 2018 - 06:21:34
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Sébastien Destercke, Didier Dubois, Eric Chojnacki. UNIFYING PRACTICAL UNCERTAINTY REPRESENTATIONS: I. GENERALIZED P-BOXES. International Journal of Approximate Reasoning, Elsevier, 2008, pp.29. 〈10.1016/j.ijar.2008.07.003〉. 〈irsn-00311696〉

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