Istituto di Scienza e Tecnologie dell'Informazione     
Bobillo F., Straccia U. Reasoning with the finitely many-valued Lukasiewicz fuzzy description logic SROIQ. In: Information Sciences, vol. 181 (4) pp. 758 - 778. Elsevier, 2011.
Fuzzy Description Logics are a formalism for the representation of structured knowledge affected by imprecision or vagueness. They have become popular as a language for fuzzy ontology representation. To date, most of the work in this direction has focused on the so-called Zadeh family of fuzzy operators (or fuzzy logic), which has several limitations. In this paper, we generalize existing proposals and show how to reason with a fuzzy extension of the logic $mathcal{SROIQ}$, the logic behind the language OWL 2, under finitely many-valued {L}ukasiewicz fuzzy logic. We show for the first time that it is decidable over a finite set of truth values by presenting a reasoning preserving procedure to obtain a non-fuzzy representation for the logic. This reduction makes it possible to reuse current representation languages as well as currently available reasoners for ontologies.
URL: http://www.sciencedirect.com/science/journal/00200255
DOI: 10.1016/j.ins.2010.10.020
Subject Description Logics
Fuzzy Logic
F.4 Mathematical Logic and Formal Languages

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