• DocumentCode
    1956368
  • Title

    On the lattice of fuzzy weak subalgebras of a fuzzy partial algebra

  • Author

    Bartol, Wiktor ; Casasnovas, Jaume ; Rosselló, Francesc

  • Author_Institution
    Inst. of Math., Warsaw Univ., Poland
  • fYear
    2002
  • fDate
    2002
  • Firstpage
    34
  • Lastpage
    39
  • Abstract
    Fuzzy partial algebras can be understood as incomplete algebraic structures whose elements are uncertain or imprecise, and thus fuzzy weak subalgebras of a fuzzy algebra correspond to structural approximations of the knowledge represented by the fuzzy algebra. In this paper we characterize those lattices that are isomorphic to the lattice of fuzzy weak subalgebras of a fuzzy partial algebra, and we discuss what information about a fuzzy monounary partial algebra can be extracted from its lattice of fuzzy weak subalgebras.
  • Keywords
    algebra; fuzzy set theory; fuzzy monounary partial algebra; fuzzy partial algebras; fuzzy weak subalgebras; incomplete algebraic structures; lattices; structural approximations; Algebra; Computer science; Data mining; Fuzzy sets; Lattices; Mathematics;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Information Processing Society, 2002. Proceedings. NAFIPS. 2002 Annual Meeting of the North American
  • Print_ISBN
    0-7803-7461-4
  • Type

    conf

  • DOI
    10.1109/NAFIPS.2002.1018026
  • Filename
    1018026
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1956368