In this paper we introduce ALCQ+F, a fuzzy description logic with extended qualified quantification. The proposed language allows for the definition of fuzzy quantifiers of the absolute and relative kind by means of piecewise linear functions on N and Q\[0; 1] respectively. These quantifiers extends the usual (qualified) 9, 8 and number restriction. The semantics of quantified expressions is defined by using method GD [4], that is based on recently developed measures of the cardinality of fuzzy sets.
Generalizing quantification in fuzzy description logics / D. Sánchez, A.G.B. Tettamanzi - In: Computational intelligence, theory and applications : international conference, 8. Fuzzy days in Dortmund, Germany, Sept. 29 - Oct. 01, 2004 : proceedings / [a cura di] Bernd Reusch. - Berlin : Springer, 2005. - ISBN 3540228071. - pp. 397-412 (( Intervento presentato al 8. convegno Fuzzy Days tenutosi a Dortmund nel 2004.
Generalizing quantification in fuzzy description logics
A.G.B. Tettamanzi
2005
Abstract
In this paper we introduce ALCQ+F, a fuzzy description logic with extended qualified quantification. The proposed language allows for the definition of fuzzy quantifiers of the absolute and relative kind by means of piecewise linear functions on N and Q\[0; 1] respectively. These quantifiers extends the usual (qualified) 9, 8 and number restriction. The semantics of quantified expressions is defined by using method GD [4], that is based on recently developed measures of the cardinality of fuzzy sets.
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