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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 .

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