A Fuzzy analysis of linguistic negation of nuanced property in Knowledge-Based systems

  • Daniel Pacholczyk
Accepted Papers
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1244)


In this paper, we present a Pragmatic Model dealing with Linguistic Negation in Knowledge-Based Systems. It can be viewed as a Generalization of Linguistic Approach to Negative Information within a Fuzzy Context. We define the Linguistic Negation with the aid of a Similarity Relation between Nuanced Properties. We propose a Choice Strategy allowing the User to explain the intended Meaning of Linguistic Negations. This Model improves the abilities in Management of a Knowledge Base, since Information can refer to Linguistic Negations either in Facts or in Rules.


Choice Strategy Fuzzy Operator Linguistic Approach Weak Agreement Fuzzy Property 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    Baldwin J. F., Pilsworth B. W.: Axiomatic approach to implication for approximate reasoning with fuzzy logic. Fuzzy Sets and Syst. 3(1980) 193–219Google Scholar
  2. 2.
    Brondal V.: ≪Essais de linguistique générate≫. (1943) CopenhageGoogle Scholar
  3. 3.
    Brondal V.: Les parties du discours: étude sur les catégories linguistiques. EINAR MUNKSGAARD (1948) CopenhagueGoogle Scholar
  4. 4.
    Culioli A.: Pour une linguistique de l'énonciation: Opérations et Représentations. Tome 1. (1991) Ophrys 2ds. ParisGoogle Scholar
  5. 5.
    Desmontils E., Pacholczyk D.: Apport de la théorie des ens. flous à la modélisation déclarative en Synthèse d'images. Proc. LFA'96 (1996) 148–149Google Scholar
  6. 6.
    Desmontils E., Pacholczyk D.: Modélisation déclarative en Synthèse d'images: traitement semi-qualitatif des propriétés imprécises ou vagues. Proc. AFIG'96 (1996) 173–181Google Scholar
  7. 7.
    Ducrot O., Schaeffer J.-M. et al.: Nouveau dictionnaire encyclopédique des sciences du langage. Seuil, Paris (1995)Google Scholar
  8. 8.
    Gabbay D. M.: What is Negation in a System ? Logic Colloquium'86, F.R. Drake & J. K. Truss Amsterdam (1988) 95–112Google Scholar
  9. 9.
    Hjelmslev L.: La catégorie des cas(1). Acta Jutlandica (1935)Google Scholar
  10. 10.
    Hjelmslev L.: La catégorie des cas (2). Acta Jutlandica (1937)Google Scholar
  11. 11.
    Horn L. R.: A Natural History of Negation. The Univ. of Chicago Press Chicago (1989)Google Scholar
  12. 12.
    Ladusaw W. A.: Negative Concord and ≪Made of Judgement≫. Negation, a notion in Focus. H. Wansing, W. de Gruyter eds. Berlin (1996) 127–144Google Scholar
  13. 13.
    Lenzen W.: Necessary Conditions for Negation Operators. Negation, a notion in Focus. H. Wansing, W. de Gruyter eds. Berlin (1996) 37–58Google Scholar
  14. 14.
    Muller C.: La négation en français. Public. romanes et françaises Genève (1991)Google Scholar
  15. 15.
    Pacholczyk D.: Contribution au traitement logico-symbolique de la connaissance. Thèse d'Etat Part. C, Paris 6 (1992)Google Scholar
  16. 16.
    Pacholczyk D.: A new Approach to Vagueness and Uncertainty. CC-AI 9 (4) (1992) 395–436Google Scholar
  17. 17.
    Pacholczyk D.: About Linguistic Negation of Nuanced Property in Declarative Modeling in Image Synthesis. Proc. of ≪Fuzzy Days'5 in Dortmund≫ (1997) (to appear)Google Scholar
  18. 18.
    Pearce D.: Reasoning with negative information II: Hard Negation, Strong Negation and Logic Programs. LNAI 619 Berlin (1992) 63–79Google Scholar
  19. 19.
    Pearce D.: G. Wagner G.: Reasoning with negative information I: Hard Negation, Strong Negation and Logic Programs. Language, Knowledge, and Intentionality: Perspectives on the Philosophy of J. Hintikka. Acta Philosophica Fennica 49 Helsinki (1990)430–453Google Scholar
  20. 20.
    Ruspini E. H.: The Semantics of vague knowledge. Revue Internationale de Systémique 3(4) (1989) 38–420Google Scholar
  21. 21.
    Scheffe P.: On foundations of reasoning with uncertain facts and vague concepts. Fuzzy Reasoning and its Applications (1981) 189–216Google Scholar
  22. 22.
    Torra V.: Negation Functions Based Semantics for Ordered Linguistic Labels. Int. Jour. of Intelligent Systems (1996) 975–988Google Scholar
  23. 23.
    Tversky A.: Features of Similarity. Psychological Review (1977) 4–84Google Scholar
  24. 24.
    Zadeh L. A.: Fuzzy Sets. Inform. and Control 8 (1965) 338–353Google Scholar
  25. 25.
    Zadeh L. A.: PRUF-A meaning representation language for natural languages. Int. J. Man-Machine Studies 10 (4) (1978) 395–460Google Scholar
  26. 26.
    Zadeh L. A.: Similarity relations and Fuzzy orderings. Selected Papers of L.A. Zadeh 3 (4) (1987) 387–420Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Daniel Pacholczyk
    • 1
  1. 1.LERIAAngers UniversityAngers CedexFrance

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