Graphoid properties of epistemic irrelevance and independence

Fabio G. Cozman, Peter Walley

Research output: Contribution to journalArticlepeer-review

29 Citations (SciVal)


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. © Springer 2005.
Original languageAmerican English
Pages (from-to)173-195
Number of pages23
JournalAnnals of Mathematics and Artificial Intelligence
StatePublished - 1 Jan 2005
Externally publishedYes


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