Abstract
Context-sensitive knowledge is widespread in Semantic Web, but traditional RDF triples lack references to situations, points in time, or generally contexts. In order to resolve this problem, Dimensional Ontology (DO) theory is put forward, which features dimensional relations, dimensional operators as well as reasoning mechanism for context-sensitive knowledge. The notion of context in DO is actuarially a vector of dimensions, which are crisp sets representing certain contextual aspects. We propose an approach of modeling uncertain contexts of DO through fuzzy subsets instead of crisp ones. In this way, DO provides the ability of representing fuzzy triples in uncertain contexts. Apart from describing uncertain context model of DO, we discuss how dimensional operators and reasoning mechanism can be applied to uncertain contexts to allow more complex manipulations.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Jiang, Y., Dong, H.: Beyond Triples, Dimensional Ontology Theory for Context-Sensitive Knowledge. In: The 3rd Asian Semantic Web Conference, ASWC 2008 (2008)
Lassila, O., Swick, R.: Resource Description Framework (RDF) Model and Syntax Specification. W3C Recommendation (1999)
Strongly Binary Tree – from Wolfram MathWorld, http://mathworld.wolfram.com/StronglyBinaryTree.html
Zadeh, L.A.: Fuzzy Sets. Information and Control. J. Mol. Biol. 8, 338–353 (1965)
Dubois, D., Prade, H.: Fuzzy Numbers. An Overview. In: Bezdek (ed.) The Analysis of Fuzzy Information. CRS Press, Boca Raton (1985)
Bontas, E.P.: Context Representation and Usage for the Semantic Web: A State of the Art. Technical report, B-04-30 (2004)
Dietze, S., Gugliotta, A., Domingue, J.: Conceptual Situation Spaces for Situation-Driven Processes. In: Bechhofer, S., Hauswirth, M., Hoffmann, J., Koubarakis, M. (eds.) ESWC 2008. LNCS, vol. 5021. Springer, Heidelberg (2008)
Dietze, S., Gugliotta, A., Domingue, J.: Fuzzy Context Adaptation through Conceptual Situation Spaces. In: Proceedings of 2008 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2008). IEEE Press, New York (2008)
Gärdenfors, P.: How to make the semantic web more semantic. In: Proccedings of Formal Ontology in Information Systems, pp. 19–36. IOS Press, Amsterdam (2004)
Nagypál, G., Motik, B.: A Fuzzy Model for Representing Uncertain, Subjective, and Vague Temporal Knowledge in Ontologies. In: Goos, G., Hartmanis, J., van Leeuwen, J. (eds.) CoopIS 2003, DOA 2003, and ODBASE 2003. LNCS, vol. 2888, pp. 906–923. Springer, Heidelberg (2003)
KAON framework, http://kaon.semanticweb.org/
Chen, W., Kifer, M., Warren, D.S.: Hilog: A foundation for higher-order logic programming. Journal of Logic Programming 15, 183–230 (1993)
Preuveneers, D., Van den Bergh, J., Wagelaar, D., Georges, A., Rigole, P., Clerckx, T., Berbers, Y., Coninx, K., Jonckers, V., De Bosschere, K.: Towards an extensible context ontology for ambient intelligence. In: Hutchison, D., Kanade, T., Kittler, J., et al. (eds.) EUSAI 2004. LNCS, vol. 3295, pp. 148–159. Springer, Heidelberg (2004)
Preuveneers, D., Berbers, Y.: Quality Extensions and Uncertainty Handling forContext Ontologies. In: Proceedings of Context and Ontologies: Theory Practice and Applications, pp. 62–64. CEUR-WS.org (2006)
Defining N-ary Relations on the Semantic Web, http://www.w3.org/TR/swbp-n-aryRelations/
Akrivas, G., Stamou, G., Kollias, S.: Semantic Association of Multimedia Document Descriptions through Fuzzy Relational Algebra and Fuzzy Reasoning. Systems, Man, and Cybernetics, part A 34(2), 1397–1402 (2004)
Mylonas, P., Wallace, M.: Using ontologies and fuzzy relations in multimedia personalization. In: Proceedings of the First International Workshop on Semantic Media Adaptation and Personalization, pp. 146–150. IEEE Press, New York (2006)
W3C RDF Reification, http://www.w3.org/TR/rdf-concepts/
Blackburn, Patrick, de Rijke, M., Venema, Y.: Modal Logic. Cambridge University Press, Cambridge (2001)
Venema, Y.: Temporal Logic. In: Goble, L. (ed.) The Blackwell Guide to Philosophical Logic. Blackwell, Malden (2001)
Gerth, R., Peled, D., Vardi, M.Y., Wolper, P.: Simple on-the-fly automatic verification of linear temporal logic. In: Proceedings of the Fifteenth IFIP WG6.1 International Symposium on Protocol Specification, Testing and Verification XV. Chapman and Hall, Ltd, London (1995)
Pratt, V.R.: Semantical Considerations on Floyd-Hoare Logic. In: Proccedings of 17th Annual IEEE Symposium on Foundations of Computer Science, pp. 109–121. Massachusetts Institute of Technology Cambridge, MA (1976)
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
Jiang, Y., Dong, H. (2008). Uncertain Context Modeling of Dimensional Ontology Using Fuzzy Subset Theory. In: Greco, S., Lukasiewicz, T. (eds) Scalable Uncertainty Management. SUM 2008. Lecture Notes in Computer Science(), vol 5291. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87993-0_21
Download citation
DOI: https://doi.org/10.1007/978-3-540-87993-0_21
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-87992-3
Online ISBN: 978-3-540-87993-0
eBook Packages: Computer ScienceComputer Science (R0)