Probabilistic approach to nonmonotonic consequence relations

Authors:
Dragan Doder;Aleksandar Peroviç;Zoran Ognjanoviç
Affiliations:
University of Belgrade, Faculty of Mechanical Engineering, Belgrade, Serbia;University of Belgrade, Faculty of Transportation and Traffic Engineering, Belgrade, Serbia;Mathematical Institute of Serbian Academy of Sciences and Arts, Belgrade, Serbia
Venue:
ECSQARU'11 Proceedings of the 11th European conference on Symbolic and quantitative approaches to reasoning with uncertainty
Year:
2011

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Abstract

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 ɛ, µ-relation is constructed using a positive infinitesimal e and a finitely additive hyperreal valued probability measure µ on the set of propositional formulas.