In this paper we introduce reasoning procedures for ALCQ+F, a fuzzy description logic with extended qualified quantification. The language allows for the definition of fuzzy quantifiers of the absolute and relative kind by means of piecewise linear functions on N and Q cap [0,1] respectively. In order to reason about instances, the semantics of quantified expressions is defined based on recently developed measures of the cardinality of fuzzy sets. A procedure is described to calculate the fuzzy satisfiability of a fuzzy assertion, which is a very important reasoning task. The procedure considers several different cases and provides direct solutions for the most frequent types of fuzzy assertions.
Reasoning and quantification in fuzzy description logics / D. Sánchez, A. Tettamanzi (LECTURE NOTES IN COMPUTER SCIENCE). - In: Fuzzy logic and applications / [a cura di] I. Bloch, A. Petrosino, A. Tettamanzi. - Berlin : Springer, 2006. - ISBN 3540325298. - pp. 81-88 (( Intervento presentato al 6. convegno WILF 2005 International Workshop : September, 15-17, 2005 : revised selected papers tenutosi a Crema (CR), Italy nel 2005.
Reasoning and quantification in fuzzy description logics
A. Tettamanzi
2006
Abstract
In this paper we introduce reasoning procedures for ALCQ+F, a fuzzy description logic with extended qualified quantification. The language allows for the definition of fuzzy quantifiers of the absolute and relative kind by means of piecewise linear functions on N and Q cap [0,1] respectively. In order to reason about instances, the semantics of quantified expressions is defined based on recently developed measures of the cardinality of fuzzy sets. A procedure is described to calculate the fuzzy satisfiability of a fuzzy assertion, which is a very important reasoning task. The procedure considers several different cases and provides direct solutions for the most frequent types of fuzzy assertions.Pubblicazioni consigliate
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