Skip to main content

A Fuzzy Semantics for the Resource Description Framework

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

Abstract

Semantic Web languages cannot currently represent vague or uncertain information. However, their crisp model-theoretic semantics can be extended to represent uncertainty in much the same way first-order logic was extended to fuzzy logic. We show how the interpretation of an RDF graph (or an RDF Schema ontology) can be a matter of values, addressing a common problem in real-life knowledge management. While unmodified RDF triples can be interpreted according to the new semantics, an extended syntax is needed in order to store fuzzy membership values within the statements. We give conditions an extended interpretation must meet to be a model of an extended graph. Reasoning in the resulting fuzzy languages can be implemented by current inferencers with minimal adaptations.

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, 28–37 (May 2001)

    Google Scholar 

  2. Berners-Lee, T.: What the semantic web can represent. W3C design issues, World Wide Web Consortium (September 1998)

    Google Scholar 

  3. Hayes, P.: RDF Semantics. Recommendation, W3C (February 10, 2004)

    Google Scholar 

  4. Bechhofeer, S., van Harmelen, F., Hendler, J., Horrocks, I., McGuinness, D., Patel-Schneider, P., Stein, L.A.: OWL web ontology language reference. Recommendation, W3C (February 10, 2004)

    Google Scholar 

  5. Horrocks, I., Patel-Schneider, P.F.: Reducing OWL entailment to description logic satisfiability. J. of Web Semantics 4(1) (2004)

    Google Scholar 

  6. Yen, J.: Generalizing term subsumption languages to fuzzy logic. In: Reiter, R., Myopoulos, J. (eds.) Proc. of the 12th Int. Joint Conf. on Artificial Intelligence (IJCAI 1991), pp. 472–477 (1991)

    Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  8. Straccia, U.: Towards a fuzzy description logic for the semantic web (preliminary report). In: Gómez-Pérez, A., Euzenat, J. (eds.) ESWC 2005. LNCS, vol. 3532, pp. 167–181. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

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

    Google Scholar 

  10. Tresp, C.B., Molitor, R.: A description logic for vague knowledge. In: Proc. of the 13th European Conf. on Artificial Intelligence (ECAI’98), pp. 361–365. J. Wiley and Sons, Chichester (1998)

    Google Scholar 

  11. Sánchez, D., Tettamanzi, A.: Generalizing quantification in fuzzy description logics. Computational Intelligence, Theory and Applications, 397–411 (2005)

    Google Scholar 

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

    Google Scholar 

  13. Hölldobler, S., Khang, T.D., Störr, H.P.: A fuzzy description logic with hedges as concept modifiers. In: Proc. InTech/VJFuzzy 2002, pp. 25–34 (2002)

    Google Scholar 

  14. Stoilos, G., Stamou, G., Tzouvaras, V., Pan, J., Horrocks, I.: The fuzzy description logic f-\(\mathcal{SHIN}\). In: ISWC Workshop on Uncertainty Reasoning for the Semantic Web, Galway, Ireland, November 7 2005. CEUR Workshop Proceedings, vol. 173, pp. 67–76 (2005)

    Google Scholar 

  15. Gao, M., Liu, C.: Extending OWL by fuzzy descripion logic. In: Proc. of the 17th IEEE Int. Conf. on Tools with Artificial Intelligence (ICTAI 2005), Hong Kong, China, pp. 562–567. IEEE Computer Society, Los Alamitos (2005)

    Google Scholar 

  16. Stoilos, G., Straccia, U., Stamou, G., Pan, J.Z.: General concept inclusions in fuzzy description logics. In: Proc. of the 17th European Conf. on Artificial Intelligence (ECAI 2006), pp. 457–461. IOS Press, Amsterdam (2006)

    Google Scholar 

  17. Stoilos, G., Stamou, G., Pan, J.: Handling imprecise knowledge with fuzzy description logic. In: Proc. of DL 2006 (2006)

    Google Scholar 

  18. Stoilos, G., Stamou, G.: Extending fuzzy description logics for the semantic web-based. In: Proc. of the 3rd Int. Workshop on OWL: Experience and Direction, OWLED 2007 (2007)

    Google Scholar 

  19. Mazzieri, M.: A fuzzy RDF semantics to represent trust metadata. In: 1st Workshop on Semantic Web Applications and Perspectives (SWAP 2004), Ancona, Italy, December 10, 2004, pp. 83–89 (2004)

    Google Scholar 

  20. Mazzieri, M., Dragoni, A.F.: A fuzzy semantics for semantic web languages. In: ISWC Workshop on Uncertainty Reasoning for the Semantic Web, Galway, Ireland, November 7, 2005. CEUR Workshop Proceedings, vol. 173, pp. 12–22 (2005)

    Google Scholar 

  21. Udrea, O., Recupero, D.R., Subrahmanian, V.: Annotated RDF. ACM Transactions on Computational Logic (submitted)

    Google Scholar 

  22. Klyne, G., Carroll, J.J.: Resource Description Framework (RDF): Concepts and abstract syntax. W3C recommendation, World Wide Web Consortium (February 2004)

    Google Scholar 

  23. Berners-Lee, T., Fielding, R., Masinter, L.: Uniform Resource Identifiers (URI): Generic syntax. RFC 2396, IETF (August 1998)

    Google Scholar 

  24. Goldfarb, W.D. (ed.): Logical Writings of Jacques Herbrand. Harvard University Press, Cambridge (1971)

    Google Scholar 

  25. Zadeh, L.: A fuzzy set theoretic interpretation of linguistic hedges. J. of Cybernetics 2(3), 4–34 (1972)

    Article  MathSciNet  Google Scholar 

  26. Dubois, D., Prade, H.: A class of fuzzy measures based on triangular norms. Int. J. of General Systems 8, 43–61 (1982)

    Article  MATH  Google Scholar 

  27. Zimmermann, H.J.: Fuzzy Set Theory— and Its Applications, 3rd edn. Kluwer Academic Publishers, Dordrecht (1996)

    Book  MATH  Google Scholar 

  28. Nguyen, H.T., Walker, E.A.: A First Course in Fuzzy Logic, 2nd edn. Chapman & Hall/CRC, Boca Raton (2000)

    MATH  Google Scholar 

  29. Grant, J., Beckett, D.: RDF test cases. W3C recommendation, World Wide Web Consortium (February 10, 2004)

    Google Scholar 

  30. Beckett, D.: RDF/XML syntax specification (revised). W3C recommendation, World Wide Web Consortium (February 2004)

    Google Scholar 

  31. Zadeh, L.A.: Fuzzy sets. Information and Control 8, 338–353 (1965)

    Article  MathSciNet  MATH  Google Scholar 

  32. Dubois, D., Prade, H.: Fuzzy Sets and Systems. Academic Press, New York (1980)

    MATH  Google Scholar 

  33. Zadeh, L.A.: Calculus of Fuzzy Restrictions. In: Fuzzy Sets and Their Applications to Cognitive and Decision Processes, pp. 1–39. Academic Press, New York (1975)

    Chapter  Google Scholar 

  34. Burillo, P., Frago, N., Fuentes, R.: Inclusion grade and fuzzy implication operators. Fuzzy Sets and Systems 114(3), 417–429 (2000)

    Article  MathSciNet  MATH  Google Scholar 

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

    Chapter  Google Scholar 

  36. Broekstra, J., Kampman, A.: Inferencing and truth maintenance in RDF Schema: exploring a naive practical approach. In: Workshop on Practical and Scalable Semantic Systems (PSSS 2003). 2nd Int. Semantic Web Conf. (ISWC 2003), Sanibel Island, Florida, USA, October 20–24 (2003)

    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

Mazzieri, M., Dragoni, A.F. (2008). A Fuzzy Semantics for the Resource Description Framework. 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_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-89765-1_15

  • 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