• DocumentCode
    3316896
  • Title

    On Complete Sublattices of the Algebra of Truth Values of Type-2 Fuzzy Sets

  • Author

    Harding, John ; Walker, Carol ; Walker, Elbert

  • Author_Institution
    New Mexico State Univ., Las Cruces
  • fYear
    2007
  • fDate
    23-26 July 2007
  • Firstpage
    1
  • Lastpage
    5
  • Abstract
    The algebra of truth values of type-2 fuzzy sets contains isomorphic copies of the algebra of truth values of type-1 fuzzy sets and the algebra of truth values of interval-valued fuzzy sets. The algebra of truth values of type-2 fuzzy sets is not a lattice, but these subalgebras are lattices, and in fact, are complete lattices. There are many other subalgebras that are lattices, for example, the subalgebra of convex normal elements. This paper examines several subalgebras which are lattices, with the goal of determining whether or not they are complete.
  • Keywords
    fuzzy set theory; convex normal elements; interval-valued fuzzy sets; subalgebras; Absorption; Algebra; Fuzzy sets; Lattices; Mercury (metals); Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems Conference, 2007. FUZZ-IEEE 2007. IEEE International
  • Conference_Location
    London
  • ISSN
    1098-7584
  • Print_ISBN
    1-4244-1209-9
  • Electronic_ISBN
    1098-7584
  • Type

    conf

  • DOI
    10.1109/FUZZY.2007.4295439
  • Filename
    4295439
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3316896