# Completion-based Generalization Inferences for the Description Logic ELOR with Subjective Probabilities

##### Andreas EckeAndreas Ecke,  Rafael PeñalozaRafael Peñaloza,  Anni-Yasmin TurhanAnni-Yasmin Turhan
Andreas Ecke, Rafael Peñaloza, Anni-Yasmin Turhan
Completion-based Generalization Inferences for the Description Logic ELOR with Subjective Probabilities
International Journal of Approximate Reasoning, 55(9):1939-1970, 2014
• KurzfassungAbstract
Description Logics (DLs) are a well-established family of knowledge representation formalisms. One of its members, the DL $mathcal{ELOR}$ has been successfully used for representing knowledge from the bio-medical sciences, and is the basis for the OWL 2 EL profile of the standard ontology language for the Semantic Web. Reasoning in this DL can be performed in polynomial time through a completion-based algorithm. In this paper we study the logic Prob-$mathcal{ELOR}$, that extends $mathcal{ELOR}$ with subjective probabilities, and present a completion-based algorithm for polynomial time reasoning in a restricted version, Prob-$mathcal{ELOR}^c_{01}$, of Prob-$mathcal{ELOR}$. We extend this algorithm to computation algorithms for approximations of (i)~the most specific concept, which generalizes a given individual into a concept description, and (ii) the least common subsumer, which generalizes several concept descriptions into one. Thus, we also obtain methods for these inferences for the OWL 2 EL profile. These two generalization inferences are fundamental for building ontologies automatically from examples. The feasibility of our approach is demonstrated empirically by our prototype system GEL.
• Forschungsgruppe:Research Group: Automatentheorie
@article{ EcPeTu-IJAR-14,
author = {Andreas {Ecke} and Rafael {Pe{\~n}aloza} and Anni-Yasmin {Turhan}},
doi = {http://dx.doi.org/10.1016/j.ijar.2014.03.001},
journal = {International Journal of Approximate Reasoning},
number = {9},
pages = {1939--1970},
publisher = {Elsevier},
title = {Completion-based Generalization Inferences for the Description Logic $\mathcal{ELOR}$ with Subjective Probabilities},
volume = {55},
year = {2014},
}