• DocumentCode
    3633311
  • Title

    Representation by cuts in the framework of relational valued fuzzy sets

  • Author

    Branimir Seselja;Andreja Tepavcevic

  • Author_Institution
    Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad, Trg Dositeja Obradovi?a 4, 21000 Novi Sad, Serbia
  • fYear
    2009
  • Firstpage
    1656
  • Lastpage
    1659
  • Abstract
    Generalized or relational valued fuzzy sets are mappings from a set X to a relational system S=(S,p). Representation of collections of subsets by relational valued fuzzy sets in the cutworthy framework is presented. It is proved that for every collection F of subsets of a set X there is a relational system S=(S,p) and a fuzzy set mu:XrarrS, such that the collection of cuts of mu coincides with F.
  • Keywords
    "Fuzzy sets","Lattices","Fuzzy set theory","Filters","Fuzzy systems","Codes","Mathematics","Informatics"
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems, 2009. FUZZ-IEEE 2009. IEEE International Conference on
  • ISSN
    1098-7584
  • Print_ISBN
    978-1-4244-3596-8
  • Type

    conf

  • DOI
    10.1109/FUZZY.2009.5277357
  • Filename
    5277357