Credal networks under epistemic irrelevance using sets of desirable gambles
نویسندگان
چکیده
B4 We present a new approach to credal networks, which are graphical models that generalise Bayesian nets to deal with imprecise probabilities. Instead of applying the commonly used notion of strong independence, we replace it by the weaker notion of epistemic irrelevance ( II ). We show how assessments of epistemic irrelevance allow us to construct a global model out of given local uncertainty models ( I ), leading to an intuitive expression for the so-called irrelevant natural extension ( III ) of a network. In contrast with Cozman (2000) who introduced this notion in terms of credal sets, our main results are presented using the language of sets of desirable gambles ( SDG ). This has allowed us to derive a number of useful properties of the irrelevant natural extension. It has powerful marginalisation properties ( IV ) and satisfies all graphoid properties but symmetry, both in their direct and reverse forms ( V & VI ). Abstract of the paper
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Reintroducing Credal Networks under Epistemic Irrelevance
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Article history: Received 25 October 2013 Received in revised form 24 June 2014 Accepted 2 July 2014 Available online 9 July 2014
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