# Knowledge Base Compilation for Inconsistency Measures

### Said Jabbour, Badran Raddaoui, Lakhdar Sais

#### Abstract

Measuring conflicts is recognized as an important issue for handling inconsistencies. Indeed, an inconsistency measure can be employed to support the knowledge engineer in building a consistent knowledge base or repairing an inconsistent one. Good measures are supposed to satisfy a set of rational properties. However, defining sound properties is sometimes problematic. In (Jabbour et al., 2014c), the authors proposed a new prime implicates based approach to identify the variables involved in the contradiction, and a refinement of the notion of minimal inconsistent subsets (MUSes) in propositional knowledge bases. In this article, we establish a bridge between the conflicting variables in knowledge bases and the three valued semantics by compiling each formula of the base into its prime implicates. We then extend hitting sets for MUSes to hitting sets of the set of deduced MUSes (DMUSes) based on prime implicates representation. This leads to an interesting family of inconsistency metrics.

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#### Paper Citation

#### in Harvard Style

Jabbour S., Raddaoui B. and Sais L. (2016). **Knowledge Base Compilation for Inconsistency Measures** . In *Proceedings of the 8th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART,* ISBN 978-989-758-172-4, pages 532-539. DOI: 10.5220/0005824305320539

#### in Bibtex Style

@conference{icaart16,

author={Said Jabbour and Badran Raddaoui and Lakhdar Sais},

title={Knowledge Base Compilation for Inconsistency Measures},

booktitle={Proceedings of the 8th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART,},

year={2016},

pages={532-539},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0005824305320539},

isbn={978-989-758-172-4},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 8th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART,

TI - Knowledge Base Compilation for Inconsistency Measures

SN - 978-989-758-172-4

AU - Jabbour S.

AU - Raddaoui B.

AU - Sais L.

PY - 2016

SP - 532

EP - 539

DO - 10.5220/0005824305320539