Abstract
In this paper, we propose a formal model of fuzzy ontology with property hierarchy by combining theories in cognitive psychology and fuzzy set theory. A formal mechanism used to determine object memberships in concepts is also proposed. In this mechanism, object membership is based on the defining properties of concepts and properties which objects possess. We show that our model is more reasonable in calculating object memberships and more powerful in concept representation than previous models by an example.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Antoniou, G., van Harmelen, F.: A Semantic Web Primer: Cooperative Information Systems. MIT Press, Cambridge (2004)
Staab, S., Studer, R.: Handbook on Ontologies. Springer, Heidelberg (2004)
Stracia, U.: A fuzzy description logic. In: AAAI 1998/IAAI 1998: Proceedings of the fifteenth national/tenth conference on Artificial intelligence/Innovative applications of artificial intelligence, pp. 594–599 (1998)
Straccia, U.: Towards a fuzzy description logic for the semantic web. In: Proceedings of the Second European Semantic Web Conference, pp. 167–181 (2005)
Stoilos, G., Stamou, G., Tzouvaras, V., Pan, J.Z., Horrocks, I.: The Fuzzy Description Logic f-SHIN. In: Proc. of the International Workshop on Uncertainty Reasoning for the Semantic Web (2005)
Au Yeung, C.M., Leung, H.F.: Ontology with likeliness and typicality of objects in concepts. In: Embley, D.W., Olivé, A., Ram, S. (eds.) ER 2006. LNCS, vol. 4215, pp. 98–111. Springer, Heidelberg (2006)
Murphy, G.L.: The big book of concepts. MIT Press, Cambridge (2002)
Galotti., K.M.: Cognitive Psychology In and Out of the Laboratory, 3rd edn. Wadsworth, Belmont (2004)
Parsons, J., Wand, Y.: Attribute-based semantic reconciliation of multiple data sources. Journal on Data Semantics 2800, 21–47 (2003)
Zadeh, L.A.: Fuzzy sets. Information and Control 8, 338–353 (1965)
Smith, E.E., Medin, D.L.: Categories and Concepts. Harvard University Press (1981)
Baader, F., Calvanese, D., McGuinness, D.L., Nardi, D., Patel-Schneider, P.F. (eds.): The description logic handbook: theory, implementation, and applications. Cambridge University Press, New York (2003)
Zadeh, L.A.: Fuzzy logic. Computer 21(4), 83–93 (1988)
Klir, G.J., Yuan, B.: Fuzzy sets and fuzzy logic:theory and applications. Prentice hall PTR, Englewood Cliffs (1995)
Cross, V., Voss, C.R.: Fuzzy ontologies for multilingual document exploitation. In: Proceedings of the 1999 conference of NAFIPS, pp. 392–397 (1999)
Yager, R.R.: On mean type aggregation. IEEE Transactions on Systems, Man and Cybernetics 26, 209–221 (1996)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Cai, Y., Leung, Hf. (2008). A Formal Model of Fuzzy Ontology with Property Hierarchy and Object Membership. In: Li, Q., Spaccapietra, S., Yu, E., Olivé, A. (eds) Conceptual Modeling - ER 2008. ER 2008. Lecture Notes in Computer Science, vol 5231. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87877-3_7
Download citation
DOI: https://doi.org/10.1007/978-3-540-87877-3_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-87876-6
Online ISBN: 978-3-540-87877-3
eBook Packages: Computer ScienceComputer Science (R0)