Skip to main content

Efficient Approximate Reasoning with Positive and Negative Information

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3214))

Abstract

Starting from the generic pattern of the Generalized Modus Ponens, we develop an efficient yet expressive quantitative model of approximate reasoning that tries to combine “the best of different worlds”; following a recent trend, we make a distinction between positive or observed (“guaranteed”) fuzzy rules on one hand, and negative or restricting ones on the other hand, which allows to mend some persistent misunderstandings about classical inference methods. To reduce algorithm complexity, we propose inclusion–based reasoning, which at the same time offers an efficient way to approximate “exact” reasoning methods, as well as an attractive implementation to the concept of reasoning by analogy.

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

Buying options

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bouchon–Meunier, B., Dubois, D., Godo, L., Prade, H.: Fuzzy Sets and Possibility Theory in Approximate and Plausible Reasoning. In: Fuzzy sets in approximate reasoning and information systems, pp. 15–190. Kluwer Academic Publishers, Dordrecht (1999)

    Google Scholar 

  2. Cornelis, C.: Two–sidedness in the Representation and Processing of Imprecise Information (in Dutch). In: Ph.D.thesis, Ghent University

    Google Scholar 

  3. Cornelis, C., Kerre, E.E.: Inclusion-Based Approximate Reasoning. In: Alexandrov, V.N., Dongarra, J., Juliano, B.A., Renner, R.S., Tan, C.J.K. (eds.) ICCS-ComputSci 2001. LNCS, vol. 2074, pp. 221–230. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  4. Dubois, D., Prade, H., Ughetto, L.: A New Perspective on Reasoning with Fuzzy Rules. International Journal of Intelligent Systems 18(5), 541–563 (2003)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Cornelis, C., De Cock, M., Kerre, E. (2004). Efficient Approximate Reasoning with Positive and Negative Information. In: Negoita, M.G., Howlett, R.J., Jain, L.C. (eds) Knowledge-Based Intelligent Information and Engineering Systems. KES 2004. Lecture Notes in Computer Science(), vol 3214. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30133-2_102

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-30133-2_102

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23206-3

  • Online ISBN: 978-3-540-30133-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics