• DocumentCode
    896687
  • Title

    Counting the number of classes in a fuzzy set

  • Author

    Yager, Ronald R.

  • Author_Institution
    Machine Intelligence Inst., Iona Coll., New Rochelle, NY, USA
  • Volume
    23
  • Issue
    1
  • fYear
    1993
  • Firstpage
    257
  • Lastpage
    264
  • Abstract
    The issue of counting the number of elements in fuzzy set is discussed. The issue of counting the number of equivalence classes in a fuzzy subset is investigated. The more general problem of counting how many similarity classes are present in a fuzzy subset is then examined. This becomes a very complex problem because of the lack of distinct boundaries in the similarity classes
  • Keywords
    fuzzy set theory; distinct boundaries; equivalence classes; fuzzy set; similarity classes; subset; Counting circuits; Fuzzy set theory; Fuzzy sets; H infinity control; Machine intelligence; Set theory;
  • fLanguage
    English
  • Journal_Title
    Systems, Man and Cybernetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9472
  • Type

    jour

  • DOI
    10.1109/21.214785
  • Filename
    214785
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=896687