Skip to main content
SpringerLink
Log in

A New Approach to Linguistic Negation based upon Compatibility Level and Tolerance Threshold

  • Conference paper
  • First Online:
Rough Sets and Current Trends in Computing (RSCTC 1998)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1424))

Included in the following conference series:

Abstract

In this paper, we focus our attention on the representation of linguistic negation of nuanced information in knowledge-based systems. The linguistic negation presented here uses a compatibility level and tolerance threshold based upon neighborhood and similarity relations. Their combination allows us to choose the reference frame from which the possible values of a linguistic negation of A appearing in the statement “x is not A” will be extracted. This new approach to negation takes into account linguistic analysis of negation and leads to intended properties in common sense reasoning.

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 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. J. F. Baldwin and B. W. Pilsworth. Axiomatic approach to implication for approximate reasoning with fuzzy logic. Fuzzy Sets and Systems 3, pp. 193–219, 1980.

    Article  MATH  MathSciNet  Google Scholar 

  2. B. Bouchon. Stability of Linguistic Modifiers compatible with a Fuzzy Logic, 313. Lecture Notes in Computer Science, 1988.

    Google Scholar 

  3. B. Bouchon and S. Desprès. Acquisition numérique/symbolique de connaissances graduelles. Actes des 3èmes journées du PRC-GDR Intelligence Artificielle, Paris, Hermès, 1990.

    Google Scholar 

  4. B. Bouchon-Meunier. Fuzzy Logic and Knowledge Representation using Linguistic Modifiers. Fuzzy Logic for the Management of Uncertainty, Zadeh L. A., Kacprzyk J. Eds, 1992.

    Google Scholar 

  5. B. Bouchon-Meunier and J. Yao. Linguistic modifiers and gradual membership to a category. Int. Jour. of Intelligent Systems, 7, pp. 25–36, 1992.

    Article  MATH  Google Scholar 

  6. A. Culioli. Pour une linguistique de l’énonciation: Opérations et Représentations. 1 Ophrys Eds. Paris, 1991.

    Google Scholar 

  7. J. Delechamp and B. Bouchon-Meunier. Graduality by means of analogical reasoning. Proc. Int. Conf. ECSQARU-FAPR’97, Lecture Notes in Artificial Intelligence, 1244, pp. 210–222, 1997.

    Google Scholar 

  8. E. Desmontils and D. Pacholczyk. Modélisation déclarative en synthèse d’images: traitement semi-qualitatif des propriétés imprécises ou vagues. In Proceedings of AFIG’96, pp. 173–181, Dijon, 1996.

    Google Scholar 

  9. E. Desmontils and D. Pacholczyk. Towards a linguistic processing of properties in declarative modeling. Int. Journal of CADCAM and Comp. Graphics, 1244, pp. 351–371, 1997.

    Google Scholar 

  10. D. Dubois and H. Prade. Théorie des Possibilités. Masson, 1985.

    Google Scholar 

  11. O. Ducrot and J.-M. Schaeffer. Nouveau dictionnaire encyclopédique des sciences du langage. Seuil, Paris, 1995.

    Google Scholar 

  12. L.R. Horn. A Natural History of Negation. The University of Chicago Press, Chicago, 1995.

    Google Scholar 

  13. J. Kacprzyk Fuzzy logic with linguistic quantifiers in inductive learning. Fuzzy Logic for the Management of Uncertainty. L.A. Zadeh and J. Kacprzyk, J. Wiley, pp. 465–478, 1992.

    Google Scholar 

  14. W.A. Ladusaw. Negative Concord and “Made of Judgement”. a notion in Focus. H. Wansing eds. Berlin, 1996.

    Google Scholar 

  15. C. Muller. La négation en français. Publications romanes et françaises, Genève, 1991.

    Google Scholar 

  16. D. Pacholczyk. Contribution au traitement logico-symbolique de la connaisance. Thèse d’état, Paris 6, Avril 1992.

    Google Scholar 

  17. D. Pacholczyk. About the representation of negative information. Proc. of Int. Conf. EUFIT’97, 2, pp. 877–881, 1997.

    Google Scholar 

  18. D. Pacholczyk. A fuzzy analysis of linguistic negation of nuanced property in knowledge-based systems. Proc. of Int. Conf. ECSQARU-FAPR’97, Lecture Notes in Art. Int, 1244, pp. 451–465, 1997.

    Google Scholar 

  19. D. Pacholczyk. An intelligent system dealing with negative information. Proc. of Int. Conf. ISMIS’97, Charlotte, U. S. A, Lecture Notes in A. I., 1325, pp. 467–476, 1997.

    Google Scholar 

  20. D. Pacholczyk. Towards a qualitative representation of linguistic negation of nuanced properties. Proc. of AIIA’97, Roma, Italy, Lecture Notes in Art. Int., 1321, pp. 393–404, 1997.

    Google Scholar 

  21. D. Pacholczyk and E. Desmontils. A qualitative approach to fuzzy properties in scene description. Proc. of Int. Conf CISST’97, Las Vegas, U. S. A., pp. 139–148, 1997.

    Google Scholar 

  22. D. Pacholczyk and E. Desmontils. Vers une description nuanceée des scènes en Synthèse d’images. to appear in Proc. LFA’97, Lyon, France, 1997.

    Google Scholar 

  23. E.H. Ruspini. The semantics of vague knowledge. Rev. int. De Systémique, 3:4, pp. 387–420, 1989.

    MATH  Google Scholar 

  24. P. Scheffe. On foundations of reasoning with uncertain facts and vague concepts. fuzzy reasoning and its applications, pp. 189–216, 1981.

    Google Scholar 

  25. V. Torra. Negation functions based semantics for ordered linguistic labels. Int. Jour. of Intelligent Systems, 11, pp. 975–988, 1996.

    Article  Google Scholar 

  26. A. Tversky. Features of similarity. Psychological Review, 4, 1977.

    Google Scholar 

  27. L.A. Zadeh. Fuzzy sets. Information and Control, 8, pp. 338–353, 1965.

    Article  MATH  MathSciNet  Google Scholar 

  28. L.A. Zadeh. PRUF-A meaning representation language for natural languages, 10:4. Int. J. Man-Machine Studies, 1978.

    Google Scholar 

  29. L.A. Zadeh. Similarity relations and Fuzzy orderings, 3. Selected papers of L. A. Zadeh, 1987.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. LERIA, University of Angers, 2 Bd Lavoisier, F-49045, Angers Cedex 01, FRANCE

    Daniel Pacholczyk

Authors
  1. Daniel Pacholczyk
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute of Mathematics, Warsaw University of Technology, Pl. Politechniki 1, 00-665, Warszawa, Poland

    Lech Polkowski

  2. Institute of Mathematics, Warsaw University, Banacha 2, 02-097, Warszawa, Poland

    Andrzej Skowron

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Pacholczyk, D. (1998). A New Approach to Linguistic Negation based upon Compatibility Level and Tolerance Threshold. In: Polkowski, L., Skowron, A. (eds) Rough Sets and Current Trends in Computing. RSCTC 1998. Lecture Notes in Computer Science(), vol 1424. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-69115-4_57

Download citation

  • DOI: https://doi.org/10.1007/3-540-69115-4_57

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64655-6

  • Online ISBN: 978-3-540-69115-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation