A General Framework for Ordering Fuzzy Sets

  • Ulrich Bodenhofer
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 89)


Orderings and rankings of fuzzy sets have turned out to play a fundamental role in various disciplines. Throughout the previous 25 years, a lot a different approaches to this issue have been introduced, ranging from rather simple ones to quite exotic ones. The aim of this paper is to present a new framework for comparing fuzzy sets with respect to a general class of fuzzy orderings. This approach includes several known techniques based on generalizing the crisp linear ordering of real numbers by means of the extension principle, however, in its general form, it is applicable to any fuzzy subsets of any kind of universe for which a fuzzy ordering is known - no matter whether linear or partial.


Convex Hull Residuated Lattice Fuzzy Subset Fuzzy Relation 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 2002

Authors and Affiliations

  • Ulrich Bodenhofer
    • 1
  1. 1.Software Competence Center HagenbergHagenbergAustria

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