The description logic handbook: theory, implementation, and applications
The description logic handbook: theory, implementation, and applications
Automata can show PSpace results for description logics
Information and Computation
Managing uncertainty and vagueness in description logics for the Semantic Web
Web Semantics: Science, Services and Agents on the World Wide Web
Supporting Fuzzy Rough Sets in Fuzzy Description Logics
ECSQARU '09 Proceedings of the 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Reasoning within fuzzy description logics
Journal of Artificial Intelligence Research
Reasoning with very expressive fuzzy description logics
Journal of Artificial Intelligence Research
Description logics with approximate definitions precise modeling of vague concepts
IJCAI'07 Proceedings of the 20th international joint conference on Artifical intelligence
Generalizing term subsumption languages to fuzzy logic
IJCAI'91 Proceedings of the 12th international joint conference on Artificial intelligence - Volume 1
Fuzzy description logics with general t-norms and datatypes
Fuzzy Sets and Systems
Expressive fuzzy description logics over lattices
Knowledge-Based Systems
Ontology engineering with rough concepts and instances
EKAW'10 Proceedings of the 17th international conference on Knowledge engineering and management by the masses
Fuzzy logic, annotation domains and semantic web languages
SUM'11 Proceedings of the 5th international conference on Scalable uncertainty management
On the undecidability of fuzzy description logics with GCIs and product t-norm
FroCoS'11 Proceedings of the 8th international conference on Frontiers of combining systems
On the (un)decidability of fuzzy description logics under Łukasiewicz t-norm
Information Sciences: an International Journal
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Uncertainty is unavoidable when modeling most application domains. In medicine, for example, symptoms (such as pain, dizziness, or nausea) are always subjective, and hence imprecise and incomparable. Additionally, concepts and their relationships may be inexpressible in a crisp, clear-cut manner. We extend the description logic ALC with multi-valued semantics based on lattices that can handle uncertainty on concepts as well as on the axioms of the ontology. We introduce reasoning methods for this logic w.r.t. general concept inclusions and show that the complexity of reasoning is not increased by this new semantics.