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Enhancing Nuclear Safety


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Unifying practical uncertainty representations: II. Clouds


Journal title : International Journal of Approximate Reasoning
Volume : 49
Issue : 3
Pagination : 664-677
Publication date : 01/11/2008

Summary

There exist many simple tools for jointly capturing variability and incomplete information by means of uncertainty representations. Among them are random sets, possibility distributions, probability intervals, and the more recent Ferson's p-boxes and Neumaier's clouds, both defined by pairs of possibility distributions. In the companion paper, we have extensively studied a generalized form of p-box and situated it with respect to other models . This paper focuses on the links between clouds and other representations. Generalized p-boxes are shown to be clouds with comonotonic distributions. In general, clouds cannot always be represented by random sets, in fact not even by 2-monotone (convex) capacities.

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