Performing Approximate Reasoning with Words?

  • Didier Dubois
  • Laurent Foulloy
  • Sylvie Galichet
  • Henri Prade
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 33)


When defining a term set as a (mite family of fuzzy sets on a universe of discourse, two description levels are introduced: the level of the referential and the level corresponding to the symbolic term set. Depending on the level which is privileged, two different views of reasoning with fuzzy set labels can be thought of: Zadeh’s view of approximate reasoning which takes place at the level of the universe of discourse, and another view where fuzzy sets are manipulated in a more symbolic way at the term set level, which would corresponds to the idea of computing with words recently advocated by Zadeh also. The two views are contrasted in this paper, and their differences are laid bare.


Membership Function Fuzzy Rule Fuzzy Relation Disjunctive Normal Form Approximate Reasoning 
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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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Didier Dubois
    • 1
  • Laurent Foulloy
    • 2
  • Sylvie Galichet
    • 2
  • Henri Prade
    • 1
  1. 1.IRITUniversité Paul SabatierToulouse Cedex 04France
  2. 2.LAMII — CESALPUniversité de SavoieAnnecy CedexFrance

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