Penalty Logic and its Link with Dempster-Shafer Theory

Florence Dupin de Saint-Cyr -- Bannay,J. Lang,T. Schiex

Published 1994 in Conference on Uncertainty in Artificial Intelligence

ABSTRACT

Penalty logic, introduced by Pinkas [17], associates to each formula of a knowledge base the price to pay if this formula is violated. Penalties may be used as a criterion for selecting preferred consistent subsets in an inconsistent knowledge base, thus inducing a non-monotonic inference relation. A precise formalization and the main properties of penalty logic and of its associated nonmonotonic inference relation are given in the first part. We also show that penalty logic and Dempster-Shafer theory are related, especially in the infinitesimal case.

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