Jasper De Bock, Gert de Cooman

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Allowing for probability zero in credal networks under epistemic irrelevance

Abstract

We generalise CozmanÕs concept of a credal network under epistemic irrelevance (2000, Section 8.3) to allow for lower (and upper) probabilities to be zero. We provide alternative representations for the resulting joint model, including a description by means of linear constraints. We apply our method to a simple case: the independent natural extension of two binary variables. This allows us to, for the first time, find analytical expressions for the extreme points of this special type of independent product.

Keywords

credal networks, epistemic irrelevance, lower previsions, credal sets, coherence, irrelevant natural extension, independent natural extension

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E-mail addresses

Jasper De Bock		jasper.debock@ugent.be
Gert de Cooman		gert.decooman@ugent.be