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AMAI
2010
Springer

Geometry of relative plausibility and relative belief of singletons

9 years 8 months ago
Geometry of relative plausibility and relative belief of singletons
The study of the interplay between belief and probability can be posed in a geometric framework, in which belief and plausibility functions are represented as points of simplices in a Cartesian space. Probability approximations of belief functions form two homogeneous groups, which we call "affine" and "epistemic" families. In this paper we focus on relative plausibility, belief, and uncertainty of probabilities of singletons, the "epistemic" family. They form a coherent collection of probability transformations in terms of their behavior with respect to Dempster's rule of combination. We investigate here their geometry in both the space of all pseudo belief functions and the probability simplex, and compare it with that of the affine family. We provide sufficient conditions under which probabilities of both families coincide.
Fabio Cuzzolin
Added 28 Feb 2011
Updated 28 Feb 2011
Type Journal
Year 2010
Where AMAI
Authors Fabio Cuzzolin
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