An Ordinal View of Independence with Application to Plausible Reasoning
Didier Dubois, Luis Farinas del Cerro, Andreas Herzig, Henri Prade
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.
PDF Link: /papers/94/p195-dubois.pdf
AUTHOR = "Didier Dubois
and Luis Farinas del Cerro and Andreas Herzig and Henri Prade",
TITLE = "An Ordinal View of Independence with Application to Plausible Reasoning",
BOOKTITLE = "Proceedings of the Tenth Conference Annual Conference on Uncertainty in Artificial Intelligence (UAI-94)",
PUBLISHER = "Morgan Kaufmann",
ADDRESS = "San Francisco, CA",
YEAR = "1994",
PAGES = "195--203"