Relevance of Classes in a Fuzzy Partition. A Study from a Group of Aggregation Operators

  • Fabián CastiblancoEmail author
  • Camilo Franco
  • Javier Montero
  • J. Tinguaro Rodríguez
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 831)


This paper presents a study of the relevance property in a fuzzy partition from a fuzzy classification system. This study allows establishing a stopping criterion for the inclusion of a class in a fuzzy partition based on relevance. Such a criterion is constructed from a stable relationship on the commutative group formed by two new mappings (and the aggregation operators conjunctive and disjunctive) of the fuzzy classification system. The criterion is illustrated through an example on image analysis by the fuzzy c-means algorithm.


Relevance Covering Overlap Classification Fuzzy partition 



This research has been partially supported by the Government of Spain (grant TIN2015-66471-P), the Government of Madrid (grant S2013/ICE-2845), and Complutense University (UCM Research Group 910149).


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Authors and Affiliations

  1. 1.Faculty of Economic, Administrative and Accounting SciencesGran Colombia UniversityBogotáColombia
  2. 2.Department of Industrial EngineeringAndes UniversityBogotáColombia
  3. 3.Department of StatisticsComplutense UniversityMadridSpain

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