Dual properties of relative belief of singletons
نویسنده
چکیده
In this letter we prove that the relative belief of singletons, one of the possible Bayesian approximations of a belief function, commutes with respect to Dempster’s orthogonal sum, and meets a number of properties which are indeed the duals of those met by the relative plausibility of singletons. This highlights a classification of Bayesian approximations in two families, according to the operator they relate to.
منابع مشابه
Dual Properties of the Relative Belief of Singletons
In this paper we prove that a recent Bayesian approximation of belief functions, the relative belief of singletons, meets a number of properties with respect to Dempster’s rule of combination which mirrors those satisfied by the relative plausibility of singletons. In particular, its operator commutes with Dempster’s sum of plausibility functions, while perfectly representing a plausibility fun...
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