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arXiv · 1302.6804

Penalty logic and its Link with Dempster-Shafer Theory

Florence Dupin de Saint-Cyr·Jerome Lang·Thomas Schiex
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Abstract

Penalty logic, introduced by Pinkas, 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 non-monotonic 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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Florence Dupin de Saint-Cyr, Jerome Lang, Thomas Schiex. 2013-02-27. Penalty logic and its Link with Dempster-Shafer Theory. https://arxiv.org/abs/1302.6804

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