Explanatory Relations Based on Mathematical Morphology

Authors:
Isabelle Bloch;Ramón Pino Pérez;Carlos Uzcátegui
Affiliations:
-;-;-
Venue:
ECSQARU '01 Proceedings of the 6th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Year:
2001

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Abstract

Using mathematical morphology on formulas introduced recently by Bloch and Lang (Proceedings of IPMU'2000) we define two new explanatory relations. Their logical behavior is analyzed. The results show that these natural ways for defining preferred explanations are robust because these relations satisfy almost all postulates of explanatory reasoning introduced by Pino-PÉrez and Uzcátegui (Artifical Intelligence, 111:131-169, 1999). Actually, the first explanatory relation is Explanatory-Rational. The second one is not even Explanatory-Cumulative but it satisfies new weak postulates.