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Roughening the $\mathcal{EL}$ Envelope

Identifieur interne : 001497 ( Main/Exploration ); précédent : 001496; suivant : 001498

Roughening the $\mathcal{EL}$ Envelope

Auteurs : Rafael Pe Aloza [Allemagne] ; Tingting Zou [République populaire de Chine]

Source :

RBID : ISTEX:E397B373C4098C1D55AF6B2BCB8EC57201D340C5

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


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