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Communication Dans Un Congrès Année : 1994

An ordinal view of independence with application to plausible reasoning

Résumé

An ordinal view of independence is studied in the framework of possibility theory. We investigate three possible definitions of dependence, of increasing strength. One of them is the counterpart to the multiplication law in probability theory, and the two others are based on the notion of conditional possibility. These two have enough expressive power to support the whole possibility theory, and a complete axiomatization is provided for the strongest one. Moreover we show that weak independence is well-suited to the problems of belief change and plausible reasoning, especially to address the problem of blocking of property inheritance in exception-tolerant taxonomic reasoning.

Dates et versions

hal-04029858 , version 1 (15-03-2023)

Identifiants

Citer

Didier Dubois, Luis Fariñas del Cerro, Andreas Herzig, Henri Prade. An ordinal view of independence with application to plausible reasoning. 10th Conference on Uncertainty in Artificial Intelligence (UAI 1994), Association for Uncertainty in Artificial Intelligence, Jul 1994, Seattles, United States. pp.195-203, ⟨10.1016/B978-1-55860-332-5.50030-4⟩. ⟨hal-04029858⟩
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