Skip to main content
SpringerLink
Log in

A Symbolic Approximate Reasoning under Fuzziness

  • Conference paper
  • First Online:
Fuzzy Sets and Systems — IFSA 2003 (IFSA 2003)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2715))

Included in the following conference series:

  • 1257 Accesses

Abstract

We study knowledge-based systems using symbolic many-valued logic. In previous papers we have proposed a symbolic representation of nuanced statements. Firstly, we have introduced a symbolic concept whose role is similar to the role of the membership function within a fuzzy context. Using this concept, we have defined linguistic modifiers. In this paper, we propose new deduction rules dealing with nuanced statements. More precisely, we present new Generalized Modus Ponens rules within a many-valued context.

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

Access this chapter

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. J. F. Baldwin. A new approach to approximate reasoning using fuzzy logic. Fuzzy Sets and Systems, 2:309–325, 1979.

    Article  MATH  MathSciNet  Google Scholar 

  2. B. Bouchon-Meunier and J. Yao. Linguistic modifiers and imprecise categories. Int. J. of Intelligent Systems, 7:25–36, 1992.

    Article  MATH  Google Scholar 

  3. D. Dubois and H. Prade. Fuzzy sets in approximate reasoning, part 1: Inference with possibility distributions. Fuzzy Sets and Systems, 40:143–202, 1991.

    Article  MATH  MathSciNet  Google Scholar 

  4. M. El-Sayed and D. Pacholczyk. A qualitative reasoning with nuanced information. 8th European Conference on Logics in Artificial Intelligence (JELIA 02), 283–295, Italy, 2002.

    Google Scholar 

  5. M. El-Sayed and D. Pacholczyk. A symbolic approach for handling nuanced information. IASTED International Conference on Artificial Intelligence and Applications (AIA 02), 285–290, Spain, 2002.

    Google Scholar 

  6. M. De glas. Knoge representation in fuzzy setting. Technical Report 48, LAFORIA, 1989.

    Google Scholar 

  7. L. D. Lascio, A. Gisolfi, and U. C. Garcia. Linguistic hedges and the generalized modus ponens. Int. Journal of Intelligent Systems, 14:981–993, 1999.

    Article  MATH  Google Scholar 

  8. D. Pacholczyk. Contribution au traitement logico-symbolique de la connaissance. PhD thesis, University of Paris VI, 1992.

    Google Scholar 

  9. L. A. Zadeh. A theory of approximate reasoning. Int. J. Hayes, D. Michie and L. I. Mikulich (eds); Machine Intelligence, 9:149–194, 1979.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of sciences, University of Angers, 2 Boulevard Lavoisier, 49045, Angers Cedex 01, France

    Mazen El-Sayed & Daniel Pacholczyk

Authors
  1. Mazen El-Sayed
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Daniel Pacholczyk
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Industrial Engineering, Boğaziçi University, 34342, Bebek, Istanbul, Turkey

    Taner Bilgiç

  2. Dept. of Applied Mathematics, Biometrics and Process Control, Ghent University, Coupure links 653, 9000, Gent, Belgium

    Bernard De Baets

  3. Department of Electrical and Electronics Engineering, Boğaziçi University, 34342, Bebek, Istanbul, Turkey

    Okyay Kaynak

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

El-Sayed, M., Pacholczyk, D. (2003). A Symbolic Approximate Reasoning under Fuzziness. In: Bilgiç, T., De Baets, B., Kaynak, O. (eds) Fuzzy Sets and Systems — IFSA 2003. IFSA 2003. Lecture Notes in Computer Science, vol 2715. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44967-1_82

Download citation

  • DOI: https://doi.org/10.1007/3-540-44967-1_82

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40383-8

  • Online ISBN: 978-3-540-44967-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation