A fuzzy description logic with automatic object membership measurement

Authors:
Yi Cai;Ho-Fung Leung
Affiliations:
Department of Computer Science, The City University of Hong Kong, Hong Kong, China;Department of Computer Science and Engineering, The Chinese University of Hong Kong, Hong Kong, China
Venue:
KSEM'10 Proceedings of the 4th international conference on Knowledge science, engineering and management
Year:
2010

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Abstract

In this paper, we propose a fuzzy description logic named fom-DL by combining the classical view in cognitive psychology and fuzzy set theory. A formal mechanism used to determine object memberships automatically in concepts is also proposed, which is lacked in previous work fuzzy description logics. In this mechanism, object membership is based on the defining properties of concept definition and properties in object description. Moreover, while previous works cannot express the qualitative measurements of an object possessing a property, we introduce two kinds of properties named N-property and L-property, which are quantitative measurements and qualitative measurements of an object possessing a property respectively. The subsumption and implication of concepts and properties are also explored in our work. We believe that it is useful to the Semantic Web community for reasoning the fuzzy membership of objects for concepts in fuzzy ontologies.