In Description Logics (DLs), concept similarity measures (CSMs) aim at identifying a degree of commonality between two given concepts and are often regarded as a generalization of the classical reasoning problem of equivalence. That is, any two concepts are equivalent if their similarity degree is one, and vice versa. When two concepts are not equivalent, the level of similarity varies depending not only on the objective factors (i.e. the concept descriptions) but also on the subjective factors (i.e. the agent's preferences). This work presents the notion of a general preference profile to be used in existing similarity measures and exemplifies its applicability with the similarity measure for the DL ELH , called sim π. We show that our measure is expressible for all aspects of preference profile and prove that sim π is preference-invariant w.r.t. equivalence, i.e. similarity between two equivalent concepts is always one regardless of agents' preferences. 480 Racharak, T., Suntisrivaraporn, B. and Tojo, S. sim π : A Concept Similarity Measure under an Agent's Preferences in Description Logic ELH .
In Description Logics (DLs), information in knowledge bases (KBs) is captured by concept descriptions. The traditional reasoning problem of subsumption has been proven indispensable in DL systems and applications. However, when no subsumption relationship between two concepts is identified, no classification relationship among the two concepts can be given. In this work, we present novel semantic similarity measures for the small language FL0. The measures are derived from the structural characterization subsumption considered from an automata-theoretic point of view. The proposed concept of semantic similarity measures for the language FL0 computes a numerical degree of similarity between two FL0 concept descriptions w.r.t. unfoldable terminologies.
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