Abstract
In this paper, we present an approach for measuring inconsistency in a knowledge base. We first define the degree of inconsistency using a four-valued semantics for the description logic \(\mathcal{ALC}\). Then an ordering over knowledge bases is given by considering their inconsistency degrees. Our measure of inconsistency can provide important information for inconsistency handling.
We acknowledge support by the China Scholarship Council(http://www.csc.edu.cn/), by the German Federal Ministry of Education and Research (BMBF) under the SmartWeb project (grant 01 IMD01 B), by the EU under the IST project NeOn (IST-2006-027595, http://www.neon-project.org/), and by the Deutsche Forschungsgemeinschaft (DFG) in the ReaSem project.
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Ma, Y., Qi, G., Hitzler, P., Lin, Z. (2007). Measuring Inconsistency for Description Logics Based on Paraconsistent Semantics. In: Mellouli, K. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2007. Lecture Notes in Computer Science(), vol 4724. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75256-1_6
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DOI: https://doi.org/10.1007/978-3-540-75256-1_6
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