Graphoid properties of epistemic irrelevance and independence

Authors:
Fabio G. Cozman;Peter Walley
Affiliations:
Cidade Universitária, São Paulo, Brazil;Departamento de Ciencias de la Computación e Inteligencia Artificial, Universidad de Granada, Granada, Spain
Venue:
Annals of Mathematics and Artificial Intelligence
Year:
2005

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Abstract

This paper investigates Walley's concepts of epistemic irrelevance and epistemic independence for imprecise probability models. We study the mathematical properties of irrelevance and independence, and their relation to the graphoid axioms. Examples are given to show that epistemic irrelevance can violate the symmetry, contraction and intersection axioms, that epistemic independence can violate contraction and intersection, and that this accords with informal notions of irrelevance and independence.