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.
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
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- Publication year
1994
- Venue
Conference on Uncertainty in Artificial Intelligence
- Publication date
1994-07-29
- Fields of study
Mathematics, Computer Science
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