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Erschienen in:
2011 | OriginalPaper | Buchkapitel
Probabilistic Approach to Nonmonotonic Consequence Relations
verfasst von : Dragan Doder, Aleksandar Perović, Zoran Ognjanović
Erschienen in: Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Verlag: Springer Berlin Heidelberg
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The paper offers a probabilistic characterizations of determinacy preservation, fragmented disjunction and conditional excluding middle for preferential relations. The paper also presents a preferential relation that is above Disjunctive rationality and strictly below Rational monotonicity. This so called
ε
,
μ
-relation is constructed using a positive infinitesimal
ε
and a finitely additive hyperreal valued probability measure
μ
on the set of propositional formulas.