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|ErsterAutorVorname=S.
|ErsterAutorVorname=S.
|ErsterAutorNachname=Brandt
|ErsterAutorNachname=Brandt
|FurtherAuthors=R. Küsters; A.-Y. Turhan
|FurtherAuthors=R. Küsters; Anni-Yasmin Turhan
}}
}}
{{Inproceedings
{{Inproceedings
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|Month=
|Month=
|Booktitle=Proceedings of the Eighth International Conference on Principles of Knowledge Representation and Reasoning (KR2002)
|Booktitle=Proceedings of the Eighth International Conference on Principles of Knowledge Representation and Reasoning (KR2002)
|Editor=D. {Fensel} and F. {Giunchiglia} and D. {McGuiness} and M.-A. {Williams}
|Editor=D. Fensel and F. Giunchiglia and D. McGuiness and M.-A. Williams
|Note=
|Note=
|Organization=
|Organization=
|Pages=203--214
|Pages=203-214
|Publisher=Morgan Kaufman
|Publisher=Morgan Kaufman
|Series=
|Series=
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{{Publikation Details
{{Publikation Details
|Abstract= Approximation is a new inference service in Description Logics first mentioned
|Abstract= Approximation is a new inference service in Description Logics first mentioned by Baader, Küsters, and Molitor. Approximating a concept, defined in one Description Logic, means to translate this concept to another concept, defined in a second typically less expressive Description Logic, such that both concepts are as closely related as possible with respect to subsumption. The present paper provides the first in-depth investigation of this inference task. We prove that approximations from the Description Logic ALC to ALE always exist and propose an algorithm computing them. As a measure for the accuracy of the approximation, we introduce a syntax-oriented difference operator, which yields a concept that contains all aspects of the approximated concept that are not present in the approximation. It is also argued that a purely semantical difference operator, as introduced by Teege, is less suited for this purpose. Finally, for the logics under consideration, we propose an algorithm computing the difference.
  by Baader, Küsters, and Molitor. Approximating a concept, defined in one
  Description Logic, means to translate this concept to another concept, defined
  in a second typically less expressive Description Logic, such that both
  concepts are as closely related as possible with respect to subsumption. The
  present paper provides the first in-depth investigation of this inference
  task. We prove that approximations from the Description Logic ALC to ALE
  always exist and propose an algorithm computing them.  
 
  As a measure for the accuracy of the approximation, we introduce a
  syntax-oriented difference operator, which yields a concept that contains all
  aspects of the approximated concept that are not present in the approximation.
  It is also argued that a purely semantical difference operator, as introduced
  by Teege, is less suited for this purpose. Finally, for the logics under
  consideration, we propose an algorithm computing the difference.
|ISBN=
|ISBN=
|ISSN=
|ISSN=
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   year = {2002},
   year = {2002},
}
}
}}
}}

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Approximation and Difference in Description Logics

S. BrandtS. Brandt,  R. KüstersR. Küsters,  Anni-Yasmin TurhanAnni-Yasmin Turhan
S. Brandt, R. Küsters, Anni-Yasmin Turhan
Approximation and Difference in Description Logics
In D. Fensel and F. Giunchiglia and D. McGuiness and M.-A. Williams, eds., Proceedings of the Eighth International Conference on Principles of Knowledge Representation and Reasoning (KR2002), 203-214, 2002. Morgan Kaufman
  • KurzfassungAbstract
    Approximation is a new inference service in Description Logics first mentioned by Baader, Küsters, and Molitor. Approximating a concept, defined in one Description Logic, means to translate this concept to another concept, defined in a second typically less expressive Description Logic, such that both concepts are as closely related as possible with respect to subsumption. The present paper provides the first in-depth investigation of this inference task. We prove that approximations from the Description Logic ALC to ALE always exist and propose an algorithm computing them. As a measure for the accuracy of the approximation, we introduce a syntax-oriented difference operator, which yields a concept that contains all aspects of the approximated concept that are not present in the approximation. It is also argued that a purely semantical difference operator, as introduced by Teege, is less suited for this purpose. Finally, for the logics under consideration, we propose an algorithm computing the difference.
  • Forschungsgruppe:Research Group: AutomatentheorieAutomata Theory
@inproceedings{ BrKuTu-KR-02,
  address = {San Francisco, CA},
  author = {S. {Brandt} and R. {K{\"u}sters} and A.-Y. {Turhan}},
  booktitle = {Proceedings of the Eighth International Conference on Principles of Knowledge Representation and Reasoning (KR2002)},
  editor = {D. {Fensel} and F. {Giunchiglia} and D. {McGuiness} and M.-A. {Williams}},
  pages = {203--214},
  publisher = {Morgan Kaufman},
  title = {Approximation and Difference in Description Logics},
  year = {2002},
}