Rationale and properties of the intersection probability
Fabio Cuzzolin · 2009
In this paper we analyze the properties of the intersection probability, a recent Bayesian transformation of belief functions introduced by geometric means. We propose a rationale for this approximation valid for probability intervals, and study its geometry in the probability simplex with respect to the credal sets associated with such intervals. We discuss its relations with different evidence combination rules and the affine combination operator. We conclude by running an analytical comparison between the intersection probability and other probability transformations of the so-called “affine” family.