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 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.
& Li, Z.
(2007). Measuring Inconsistency for Description Logics Based on Paraconsistent Semantics. Lecture Notes in Computer Science, 4724, 30-41.