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Ontologies used in semantic Web meets two major challenges. The first, concerns the use of a logical formalism to write concepts with enough expression power. The second is to guarantee a maximum interoperability if different ontologies are used. For this last problem, ontology alignment is one of the most appropriate solutions. It is based on the syntactic, semantic and structural similarities of the different input ontologies. To write the ontology concepts, we propose in this work, a description logic whose semantics is algebraic-based. Then, based on this representation formalism, we show how to improve the measure used to compute the structural similarity and we propose an argumentation-based method to deal with the ontology alignment problem.
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