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Fuzzy Control pp 121-131 | Cite as

FGCounts of Fuzzy Sets with Triangular Norms

  • Maciej Wygralak
  • Daniel Pilarski
Conference paper
Part of the Advances in Soft Computing book series (AINSC, volume 6)

Abstract

The “fuzzy” approach to the question of cardinality of a fuzzy set offers a very adequate and complete cardinal information in the form of a convex fuzzy set of ordinary cardinal numbers (of nonnegative integers, in the finite case). The existing studies of that approach, however, are restricted to cardinalities of fuzzy sets with the classical min and max operations. In this paper, we like to present a generalization of FGCounts to triangular norm-based fuzzy sets. Some remarks about an analogous generalization of FLCounts and FECounts will be given, too.

Keywords

Nonnegative Integer Kluwer Acad Valuation Property Extension Principle Triangular Norm 
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 2000

Authors and Affiliations

  • Maciej Wygralak
    • 1
  • Daniel Pilarski
    • 1
  1. 1.Faculty of Mathematics and Computer ScienceAdam Mickiewicz UniversityPoznanPoland

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