Quantitative Methods for Similarity in Description Logics

Combining description and similarity logics

Categorisation of objects into classes is currently supported by (at least) two ‘orthogonal’ methods. In logic-based approaches, classifications are defined through ontologies or knowledge bases which describe the existing relationships among terms. Description logic (DL) has become one of the most successful formalisms for representing such knowledge bases, in particular because theoretically ...

On similarity in fuzzy description logics

In this paper we explore the possibility of introducing the equality symbol in the languages of Fuzzy Description Logics (FDLs) interpreted as a similarity relation. In the talk we will present a state of the art concerning the notion of similarity in some fields of artificial intelligence, and we analyze some variants of the languages for the FDLs introduced in [10]. The goal is twofold: deali...

Towards Measuring Similarity in Description Logics

We review several kinds of previously studied concept similarity measures, and then rephrase them in terms of a simple DL. We discuss the difficulties encountered in trying to generalize these formulations to more complex DLs, and settle on one based on probability/information theory as being the most principled. 1 Motivation and Goals The idea of measuring concept similarity has received consi...

Similarity for Attribute-value Representations in Fuzzy Description Logics

In this paper we explore the possibility of introducing the equality symbol in the languages of Fuzzy Description Logics (FDLs) interpreted as a similarity relation. The goal is twofold: dealing with attribute-value representations at the domain objects level, and integrating the treatment of similarities inside the description languages and their corresponding knowledge bases. Source URL: http...

Formal concept analysis methods for description logics