Roughening the $\mathcal{EL}$ Envelope
Identifieur interne : 001497 ( Main/Exploration ); précédent : 001496; suivant : 001498Roughening the $\mathcal{EL}$ Envelope
Auteurs : Rafael Pe Aloza [Allemagne] ; Tingting Zou [République populaire de Chine]Source :
- Lecture Notes in Computer Science [ 0302-9743 ]
Abstract
Abstract: The $\mathcal{EL}$ family of description logics (DLs) has been successfully applied for representing the knowledge of several domains, specially from the bio-medical fields. One of its principal characteristics is that its reasoning tasks have polynomial complexity, which makes them suitable for large-scale knowledge bases. In their classical form, description logics cannot handle imprecise concepts in a satisfactory manner. Rough sets have been studied as a method for describing imprecise notions, by providing a lower and an upper approximation, which are defined through classes of indiscernible elements. In this paper we study the combination of the $\mathcal{EL}$ family of DLs with the notion of rough sets, thus obtaining a family of rough DLs. We show that the rough extension of these DLs maintains the polynomial-time complexity enjoyed by its classical counterpart. We also present a completion-based algorithm that is a strict generalization of the known method for the DL $\mathcal{EL}^{++}$ .
Url:
DOI: 10.1007/978-3-642-40885-4_6
Affiliations:
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<front><div type="abstract" xml:lang="en">Abstract: The $\mathcal{EL}$ family of description logics (DLs) has been successfully applied for representing the knowledge of several domains, specially from the bio-medical fields. One of its principal characteristics is that its reasoning tasks have polynomial complexity, which makes them suitable for large-scale knowledge bases. In their classical form, description logics cannot handle imprecise concepts in a satisfactory manner. Rough sets have been studied as a method for describing imprecise notions, by providing a lower and an upper approximation, which are defined through classes of indiscernible elements. In this paper we study the combination of the $\mathcal{EL}$ family of DLs with the notion of rough sets, thus obtaining a family of rough DLs. We show that the rough extension of these DLs maintains the polynomial-time complexity enjoyed by its classical counterpart. We also present a completion-based algorithm that is a strict generalization of the known method for the DL $\mathcal{EL}^{++}$ .</div>
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