Skip to main content
SpringerLink
Log in
Book cover

International Conference on Intelligent Computing

ICIC 2009: Emerging Intelligent Computing Technology and Applications. With Aspects of Artificial Intelligence pp 111–123Cite as

Knowledge Representation and Consistency Checking in a Norm-Parameterized Fuzzy Description Logic

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5755))

Abstract

This paper has its motivation in the occurrence of uncertain knowledge in different application areas, and introduces an expressive fuzzy description logic that extends classical description logics to many-valued logics. We represent, and reason with, uncertain knowledge in the description logic \(\mathcal{ALCHIN}\) extended to an interval-based, norm-parameterized fuzzy logic. First, the syntax and the semantics of the proposed fuzzy description logic are addressed. Then the paper presents an algorithm for consistency checking of knowledge bases in the proposed language.

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

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Baader, F., Calvanese, D., Mcguinness, D., Nardi, D., Patel- Schneider, P.: The Description Logic Handbook: Theory, Implementation and Applications. Cambridge University Press, Cambridge (2003)

    MATH  Google Scholar 

  2. 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), pp. 652C–657C. IEEE Computer Society, Los Alamitos (2007)

    Google Scholar 

  3. Hájek, P.: Metamathematics of fuzzy logic. Kluwer, Dordrecht (1998)

    MATH  Google Scholar 

  4. Hájek, P.: Making fuzzy description logics more expressive. Fuzzy Sets Syst. 154(1), 1–15 (2005)

    Article  MATH  Google Scholar 

  5. NETO, A.G.S.S.: Tableau algorithm for alchin consistency checking

    Google Scholar 

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

    MATH  MathSciNet  Google Scholar 

  7. Straccia, U.: A fuzzy description logic. In: Proceedings of the 15th National Conference on Artificial Intelligence (AAAI 1998), pp. 594–599 (1998)

    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. Zadeh, L.A.: Fuzzy sets. Information and Control 8(3), 338–353 (1965)

    Article  MATH  MathSciNet  Google Scholar 

  10. Zhao, J., Boley, H., Du, W.: Expressing Vague Knowledge in the Fuzzy Description Logic fALCHIN. In: Proc. of the Sixth Annual Research Exposition, p. 72 (2009), http://www.cs.unb.ca/itc/ResearchExpo/Expo2009-proceeding.pdf

Download references

Author information

Authors and Affiliations

  1. Faculty of Computer Science, University of New Brunswick, Fredericton, Canada

    Jidi Zhao & Weichang Du

  2. Institute for Information Technology, National Research Council of Canada Fredericton, NB, E3B 9W4, Canada

    Harold Boley

Authors
  1. Jidi Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Harold Boley
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Weichang Du
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute of Intelligent Machines, Chinese Academy of Sciences, China

    De-Shuang Huang

  2. Graduate School of Electrical Engineering, University of Ulsan, Korea, San 29, Mugeo-Dong, Nam-Ku, 680 - 749, Ulsan, Korea

    Kang-Hyun Jo

  3. School of Electrical Engineering, University of Ulsan, Ulsan, South Korea

    Hong-Hee Lee

  4. School of Electrical Engineering, University of Ulsan, South Korea

    Hee-Jun Kang

  5. e.B.I.S. s.r.l. (electronic Business in Security), Spin-Off of Polytechnic of Bari, Str. Prov. per Casamassima Km., 3, 70010, Valenzano, (BA), Italy

    Vitoantonio Bevilacqua

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Zhao, J., Boley, H., Du, W. (2009). Knowledge Representation and Consistency Checking in a Norm-Parameterized Fuzzy Description Logic. In: Huang, DS., Jo, KH., Lee, HH., Kang, HJ., Bevilacqua, V. (eds) Emerging Intelligent Computing Technology and Applications. With Aspects of Artificial Intelligence. ICIC 2009. Lecture Notes in Computer Science(), vol 5755. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04020-7_13

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-04020-7_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04019-1

  • Online ISBN: 978-3-642-04020-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation