The well-founded semantics for general logic programs
Journal of the ACM (JACM)
Combining Horn rules and description logics in CARIN
Artificial Intelligence
{\cal A}{\cal L}-log: Integrating Datalog and Description Logics
Journal of Intelligent Information Systems
Description logic programs: combining logic programs with description logic
WWW '03 Proceedings of the 12th international conference on World Wide Web
The description logic handbook: theory, implementation, and applications
The description logic handbook: theory, implementation, and applications
Managing uncertainty and vagueness in description logics for the Semantic Web
Web Semantics: Science, Services and Agents on the World Wide Web
DL-Lite: tractable description logics for ontologies
AAAI'05 Proceedings of the 20th national conference on Artificial intelligence - Volume 2
Reasoning within fuzzy description logics
Journal of Artificial Intelligence Research
Reasoning with very expressive fuzzy description logics
Journal of Artificial Intelligence Research
A faithful integration of description logics with logic programming
IJCAI'07 Proceedings of the 20th international joint conference on Artifical intelligence
Nonmonotonic databases and epistemic queries
IJCAI'91 Proceedings of the 12th international joint conference on Artificial intelligence - Volume 1
Foundations of Semantic Web Technologies
Foundations of Semantic Web Technologies
Making fuzzy description logic more general
Fuzzy Sets and Systems
Reconciling description logics and rules
Journal of the ACM (JACM)
A better uncle for OWL: nominal schemas for integrating rules and ontologies
Proceedings of the 20th international conference on World wide web
Local closed world reasoning with description logics under the well-founded semantics
Artificial Intelligence
RW'11 Proceedings of the 7th international conference on Reasoning web: semantic technologies for the web of data
Effective integration of declarative rules with external evaluations for semantic-web reasoning
ESWC'06 Proceedings of the 3rd European conference on The Semantic Web: research and applications
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We present an infrastructure for describing and handling uncertainty and vagueness in a combination of Description Logics and rules in the Semantic Web. More concretely, we apply fuzzy set theory to hybrid MKNF knowledge bases, and establish fuzzy hybrid MKNF knowledge bases, which is sound with respect to the classical two-valued semantics. Furthermore, we discuss some fundamental properties of fuzzy semantics, and characterize fuzzy MKNF models of general MKNF knowledge bases. We also provide characterizations of fuzzy MKNF models of positive and stratified MKNF knowledge bases in terms of a fixpoint operator and an iterative fixpoint semantics, respectively. Finally, we describe a special case of fuzzy nondisjunctive positive MKNF knowledge base, in which the truth value of a modal atom can be computed in polynomial time in the data complexity.