• DocumentCode
    420322
  • Title

    Yet another axiomization of fuzzy set theory

  • Author

    Wierman, Mark J.

  • Author_Institution
    Creighton Univ., Omaha, NE, USA
  • Volume
    1
  • fYear
    2004
  • fDate
    27-30 June 2004
  • Firstpage
    265
  • Abstract
    It has long been recognized that lattices allow for a generalization of many of the concepts of a fuzzy set. It is possible to generalize lattices to sets with an arbitrary relation if this relation has certain properties. While these properties induce a lattice they also point to an alternate mechanism to axiomatize fuzzy set theory. These axioms produce a simpler mathematical foundation for fuzzy set theory research.
  • Keywords
    fuzzy set theory; generalisation (artificial intelligence); lattice theory; fuzzy set theory axiomization; lattice generalization; mathematical model; FAA; Fuzzy set theory; Fuzzy sets; Lattices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Information, 2004. Processing NAFIPS '04. IEEE Annual Meeting of the
  • Print_ISBN
    0-7803-8376-1
  • Type

    conf

  • DOI
    10.1109/NAFIPS.2004.1336289
  • Filename
    1336289
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=420322