Skip to main content

Reasoning with the Fuzzy Description Logic f-\(\mathcal{SHIN}\): Theory, Practice and Applications

  • Conference paper
Uncertainty Reasoning for the Semantic Web I (URSW 2006, URSW 2007, URSW 2005)

Abstract

The last couple of years it is widely acknowledged that uncertainty and fuzzy extensions to ontology languages, like Description Logics (DLs) and OWL, could play a significant role in the improvement of many Semantic Web (SW) applications. Many of the tasks of SW like trust, matching, merging, ranking usually involve confidence or truth degrees that one requires to represent and reason about. Fuzzy DLs are able to represent vague concepts such as a “Tall” person, a “Hot” place, a “MiddleAged” person, a “near” destination and many more. In the current paper we present a fuzzy extension to the DL \(\mathcal{SHIN}\). First, we present the semantics while latter a detailed reasoning algorithm that decides most of the key inference tasks of fuzzy-\(\mathcal{SHIN}\). Finally, we briefly present the fuzzy reasoning system FiRE, which implements the proposed algorithm and two use case scenarios where we have applied fuzzy DLs through FiRE.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Berners-Lee, T., Hendler, J., Lassila, O.: The semantic web. Scientific American (2001)

    Google Scholar 

  2. Horrocks, I., Patel-Schneider, P.F., van Harmelen, F.: From \(\mathcal{SHIQ}\) and RDF to OWL: The making of a web ontology language. Journal of Web Semantics 1 (2003)

    Google Scholar 

  3. Baader, F., McGuinness, D., Nardi, D., Patel-Schneider, P.: The Description Logic Handbook: Theory, implementation and applications. Cambridge Uni. Press, Cambridge (2002)

    MATH  Google Scholar 

  4. Euzenat, J., Shvaiko, P.: Ontology Matching. Springer, Heidelberg (2007)

    MATH  Google Scholar 

  5. Straccia, U.: Reasoning within fuzzy description logics. Journal of Artificial Intelligence Research 14, 137–166 (2001)

    MathSciNet  MATH  Google Scholar 

  6. Stoilos, G., Stamou, G., Tzouvaras, V., Pan, J.Z., Horrocks, I.: Reasoning with very expressive fuzzy description logics. Journal of Artificial Intelligence Research 30, 273–320 (2007)

    MathSciNet  MATH  Google Scholar 

  7. Stoilos, G., Stamou, G., Tzouvaras, V., Pan, J., Horrocks, I.: Fuzzy OWL: Uncertainty and the semantic web. In: Proc. of the International Workshop on OWL: Experiences and Directions (2005)

    Google Scholar 

  8. Stoilos, G., Simou, N., Stamou, G., Kollias, S.: Uncertainty and the semantic web. IEEE Intelligent Systems 21, 84–87 (2006)

    Article  Google Scholar 

  9. Stoilos, G., Stamou, G., Tzouvaras, V., Pan, J., Horrocks, I.: A fuzzy description logic for multimedia knowledge representation. In: Proc. of the International Workshop on Multimedia and the Semantic Web (2005)

    Google Scholar 

  10. Stoilos, G., Stamou, G., Tzouvaras, V., Pan, J., Horrocks, I.: The fuzzy description logic f-\(\mathcal{SHIN}\). In: Proc. of the International Workshop on Uncertainty Reasoning for the Semantic Web, pp. 67–76 (2005)

    Google Scholar 

  11. Pan, J., Stamou, G., Stoilos, G., Thomas, E.: Scalable querying services over fuzzy ontologies. In: Proceedings of the International World Wide Web Conference (WWW 2008), Beijing (2008)

    Google Scholar 

  12. Stoilos, G., Straccia, U., Stamou, G., Pan, J.: General concept inclusions in fuzzy description logics. In: Proceedings of the 17th European Conference on Artificial Intelligence (ECAI 2006), pp. 457–461 (2006)

    Google Scholar 

  13. Li, Y., Xu, B., Lu, J., Kang, D.: Discrete tableau algorithms for \(\mathcal{FSHI}\). In: Proceedings of the International Workshop on Description Logics (DL 2006), Lake District, UK (2006)

    Google Scholar 

  14. Broekstra, J., Kampman, A., van Harmelen, F.: Sesame: A generic architecture for storing and querying rdf and rdf schema. In: Horrocks, I., Hendler, J. (eds.) ISWC 2002. LNCS, vol. 2342, pp. 54–68. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  15. Sciascio, E.D., Donini, F.: Description logics for image recognition: a preliminary proposal. In: International Workshop on Description Logics, DL 1999 (1999)

    Google Scholar 

  16. Neumann, B., Möller, R.: On scene interpretation with description logics. In: Christensen, H.I., Nagel, H.-H. (eds.) Cognitive Vision Systems. LNCS, vol. 3948, pp. 247–278. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  17. Klir, G.J., Yuan, B.: Fuzzy Sets and Fuzzy Logic: Theory and Applications. Prentice-Hall, Englewood Cliffs (1995)

    MATH  Google Scholar 

  18. Simou, N., Stoilos, G., Pardalis, K., Tzouvaras, V., Stamou, G., Kollias, S.: Storing and querying fuzzy knowledge in the semantic web, Technical Report (2008)

    Google Scholar 

  19. Simou, N., Athanasiadis, T., Tzouvaras, V., Kollias, S.: Multimedia reasoning with f-\(\mathcal{SHIN}\). In: 2nd International Workshop on Semantic Media Adaptation and Personalization, London, December 17-18 (2007)

    Google Scholar 

  20. Holi, M., Hyvonen, E.: Fuzzy view-based semantic search. In: Asian Semantic Web Conference (2006)

    Google Scholar 

  21. Meghini, C., Sebastiani, F., Straccia, U.: A model of multimedia information retrieval. Journal of the ACM 48, 909–970 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  22. Ragone, A., Straccia, U., Di Noia, T., Di Sciascio, E., Donini, F.: Vague knowledge bases for matchmaking in p2p e-marketplaces. In: Franconi, E., Kifer, M., May, W. (eds.) ESWC 2007. LNCS, vol. 4519, pp. 414–428. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  23. Yen, J.: Generalising term subsumption languages to fuzzy logic. In: Proc of the 12th Int. Joint Conf on Artificial Intelligence (IJCAI 1991), pp. 472–477 (1991)

    Google Scholar 

  24. Tresp, C., Molitor, R.: A description logic for vague knowledge. In: Proc of the 13th European Conf. on Artificial Intelligence, ECAI 1998 (1998)

    Google Scholar 

  25. Straccia, U.: Description logics with fuzzy concrete domains. In: 21st Conf. on Uncertainty in Artificial Intelligence (UAI 2005), Edinburgh (2005)

    Google Scholar 

  26. Bobillo, F., Straccia, U.: A fuzzy description logic with product t-norm. In: Proceedings of the IEEE International Conference on Fuzzy Systems (Fuzz-IEEE 2007), London (2007)

    Google Scholar 

  27. Straccia, U.: \(\it{fuzzyDL}\): An expressive fuzzy description logic reasoner. In: Proceedings of the International Conference on Fuzzy Systems, Fuzz-IEEE 2008 (2008)

    Google Scholar 

  28. Straccia, U.: Answering vague queries in fuzzy DL-Lite. In: Proceedings of the 11th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2006), pp. 2238–2245 (2006)

    Google Scholar 

  29. Calvanese, D., Giacomo, G.D., Lembo, D., Lenzerini, M., Rosati, R.: Dl-lite: Tractable description logics for ontologies. In: Proceedings of the 20th National Conference on Artificial Intelligence, AAAI 2005 (2005)

    Google Scholar 

  30. Baader, F., Lutz, C., Suntisrivaraporn, B.: Is tractable reasoning in extensions of the description logic \(\mathcal{EL}\) useful in practice? Journal of Logic, Language and Information, Special Issue on Method for Modality (to appear, 2008)

    Google Scholar 

  31. Stoilos, G., Stamou, G., Pan, J.: Efficient classification of fuzzy subsumption with fuzzy-\(\mathcal{EL}\)+. In: Proceedings of the 21st International Workshop on Description Logics (DL 2008), Dresden (2008)

    Google Scholar 

  32. Lukasiewicz, T., Straccia, U.: Managing uncertainty and vagueness in description logics for the semantic web. Journal of Web Semantics (2008)

    Google Scholar 

  33. Haarslev, V., Pai, H.I., Shiri, N.: Optimizing tableau reasoning in ALC extended with uncertainty. In: Proceedings of the 20th International Workshop on Description Logics (DL 2007), pp. 307–314 (2007)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Stoilos, G., Stamou, G., Pan, J.Z., Simou, N., Tzouvaras, V. (2008). Reasoning with the Fuzzy Description Logic f-\(\mathcal{SHIN}\): Theory, Practice and Applications. In: da Costa, P.C.G., et al. Uncertainty Reasoning for the Semantic Web I. URSW URSW URSW 2006 2007 2005. Lecture Notes in Computer Science(), vol 5327. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89765-1_16

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-89765-1_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-89764-4

  • Online ISBN: 978-3-540-89765-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics