A Fuzzy Description Logic for the Semantic Web

In Capturing Intelligence: Fuzzy Logic and the Semantic Web.

In this paper we present a fuzzy version of SHOIN}(D), the corresponding Description Logic of the ontology description language OWL DL. We show that the representation and reasoning capabilities of fuzzy SHOIN}(D) go clearly beyond classical SHOIN}(D). Interesting features are: (i) concept constructors are based on t-norm, t-conorm, negation and implication; (ii) concrete domains are fuzzy sets; (iii) fuzzy modifiers are allowed; and (iv) entailment and subsumption relationships may hold to some degree in the unit interval [0,1].