Description Logics over Lattices with Multi-valued Ontologies

Stefan BorgwardtStefan Borgwardt, Rafael PeñalozaRafael Peñaloza

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Stefan Borgwardt, Rafael Peñaloza
Description Logics over Lattices with Multi-valued Ontologies
In Toby Walsh, eds., Proceedings of the Twenty-Second International Joint Conference on Artificial Intelligence (IJCAI'11), 768-773, 2011. AAAI Press

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KurzfassungAbstract
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.
Forschungsgruppe:Research Group: AutomatentheorieAutomata Theory

@inproceedings{ BoPe-IJCAI11,
  address = {Barcelona, Spain},
  author = {Stefan {Borgwardt} and Rafael {Pe{\~n}aloza}},
  booktitle = {Proceedings of the Twenty-Second International Joint Conference on Artificial Intelligence ({IJCAI'11})},
  editor = {Toby {Walsh}},
  pages = {768--773},
  publisher = {AAAI Press},
  title = {Description Logics over Lattices with Multi-valued Ontologies},
  year = {2011},
}