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Published in: Journal of Intelligent Information Systems 2/2012

01-10-2012

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

Authors: Theofilos Mailis, Giorgos Stoilos, Nikolaos Simou, Giorgos Stamou, Stefanos Kollias

Published in: Journal of Intelligent Information Systems | Issue 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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Appendix
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Footnotes
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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Metadata
Title
Tractable reasoning with vague knowledge using fuzzy
Authors
Theofilos Mailis
Giorgos Stoilos
Nikolaos Simou
Giorgos Stamou
Stefanos Kollias
Publication date
01-10-2012
Publisher
Springer US
Published in
Journal of Intelligent Information Systems / Issue 2/2012
Print ISSN: 0925-9902
Electronic ISSN: 1573-7675
DOI
https://doi.org/10.1007/s10844-012-0195-6

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