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Erschienen in: Journal of Intelligent Information Systems 2/2012

01.10.2012

Tractable reasoning with vague knowledge using fuzzy \(\mathcal{EL}^{++}\)

verfasst von: Theofilos Mailis, Giorgos Stoilos, Nikolaos Simou, Giorgos Stamou, Stefanos Kollias

Erschienen in: Journal of Intelligent Information Systems | Ausgabe 2/2012

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Abstract

Fuzzy Description Logics (fuzzy DLs) are extensions of classic DLs that are capable of representing and reasoning with imprecise and vague knowledge. Though reasoning algorithms for very expressive fuzzy DLs have been developed and optimizations have started to be explored, the efficiency of such systems is still questionable, and the study of tractable languages is an interesting open issue. In this paper we introduce a tractable fuzzy extension of \(\mathcal{EL}^{++}\). We present its syntax and semantics together with a reasoning algorithm for the fuzzy concept subsumption problem to which other problems can be reduced.

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Fußnoten
5
The weight related to each concept subsumption was proposed by medical experts.
 
6
For a variable vector \(\overline{X}=\langle x_{1},\ldots,x_{k}\rangle \), \(\delta(\overline{X})\) is a shortcut for \(\langle \delta(x_{1}),\ldots,\delta(x_{k})\rangle \).
 
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Metadaten
Titel
Tractable reasoning with vague knowledge using fuzzy
verfasst von
Theofilos Mailis
Giorgos Stoilos
Nikolaos Simou
Giorgos Stamou
Stefanos Kollias
Publikationsdatum
01.10.2012
Verlag
Springer US
Erschienen in
Journal of Intelligent Information Systems / Ausgabe 2/2012
Print ISSN: 0925-9902
Elektronische ISSN: 1573-7675
DOI
https://doi.org/10.1007/s10844-012-0195-6

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