Skip to main content

A Symbolic Approximate Reasoning

  • Conference paper
  • First Online:
Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing (RSFDGrC 2003)

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

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

    Article  MATH  Google Scholar 

  2. 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 

  3. M. De Glas. Knowladge representation in fuzzy setting. Technical Report 48, LAFORIA, 1989.

    Google Scholar 

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

    Google Scholar 

  5. 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

Authors

Editor information

Editors and Affiliations

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. In: Wang, G., Liu, Q., Yao, Y., Skowron, A. (eds) Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing. RSFDGrC 2003. Lecture Notes in Computer Science(), vol 2639. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-39205-X_59

Download citation

  • DOI: https://doi.org/10.1007/3-540-39205-X_59

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-14040-5

  • Online ISBN: 978-3-540-39205-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics