Consonant approximation of belief functions
International Journal of Approximate Reasoning
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UAI '92 Proceedings of the eighth conference on Uncertainty in Artificial Intelligence
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The geometry of consonant belief functions: Simplicial complexes of necessity measures
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In this paper we introduce a novel, simpler form of the polytope of inner Bayesian approximations of a belief function, or "consistent probabilities". We prove that the set of vertices of this polytope is generated by all possible permutations of elements of the domain, mirroring a similar behavior of outer consonant approximations.