• DocumentCode
    553001
  • Title

    The complemented elements in fuzzy lattices

  • Author

    Wu Jia

  • Author_Institution
    Sch. of Math. & Comput., Wuhan Textile Univ., Wuhan, China
  • Volume
    1
  • fYear
    2011
  • fDate
    26-28 July 2011
  • Firstpage
    286
  • Lastpage
    288
  • Abstract
    The complemented elements are the special elements in fuzzy lattices, they play an important role in the research of fuzzy lattices. In this paper, we present three important properties of complemented elements about the fuzzy lattice congruence relation and homomorphism, then we show the relation theorem of complemented elements and unambiguous elements of fuzzy lattices. Finally, we obtain two characteristic theorems of “the components” of fuzzy lattices by means of complemented elements.
  • Keywords
    fuzzy set theory; lattice theory; complemented elements; fuzzy lattice congruence relation; homomorphism; relation theorem; unambiguous elements; Algebra; Educational institutions; Fuzzy logic; Fuzzy systems; Indexes; Lattices; Complemented elements; Components of fuzzy lattices; Fuzzy lattice;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems and Knowledge Discovery (FSKD), 2011 Eighth International Conference on
  • Conference_Location
    Shanghai
  • Print_ISBN
    978-1-61284-180-9
  • Type

    conf

  • DOI
    10.1109/FSKD.2011.6019477
  • Filename
    6019477