Semantics of the Relative Belief of Singletons
نویسنده
چکیده
The theory of evidence (ToE) [16] extends classical probability theory through the notion of belief function (b.f.), a mathematical entity which independently assigns probability values to sets of possibilities rather than single events. A belief function b : 2 → [0, 1] on a finite set (“frame”) Θ has the form b(A) = ∑ B⊆A mb(B) where mb : 2 Θ → [0, 1], is called “basic probability assignment” (b.p.a.), and meets the positivity mb(A) ≥ 0 ∀A ⊆ Θ and normalization ∑ A⊆Θ mb(A) = 1 axioms. Events associated with non-zero basic probabilities are called “focal elements”. A b.p.a. can be uniquely recovered from a belief function through Moebius inversion:
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