Graphoid properties of epistemic irrelevance and independence
This paper is based on the theory of coherent lover precisions, which represents one of the theories of the imprecise probability. The credal set is a second model for the imprecise probability, which is used here. Two concepts of the independence are concerned: the epistemic irrelevance and the epistemic independence. These two relations can violate several of the graphoid axioms. The epistemic irrelevance can violate the symmetry, contractions and intersections axioms. The epistemic independence can violate, the contraction and intersection properties. The graphoids are not sufficiently general to model the informal concept of the irrelevance.
scientific article; zbMATH DE number 5016902
scientific article