• DocumentCode
    2545755
  • Title

    (∈, ∈ ∨qk)-fuzzy congruence in residuated lattices

  • Author

    Liu, Yi ; Qin, Ya

  • Author_Institution
    Coll. of Math. & Inf. Sci., Neijiang Normal Univ., Neijiang, China
  • fYear
    2012
  • fDate
    29-31 May 2012
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    The aim of this paper is to develop the fuzzy congruence theory of general residuated lattices. We introduce the concept of (∈, ∈ Vqk)-fuzzy congruence relation on a residuated lattice, and the relation between (∈, ∈ Vqk)-fuzzy congruences and (∈, ∈ Vqk)-fuzzy filters is investigated. Finally, we construct a new residuated lattice which induced (∈, ∈ Vqk)-fuzzy congruences, the homomorphism theorem is given.
  • Keywords
    fuzzy set theory; lattice theory; (ε, ε Vqk)-fuzzy congruence relation; (ε, ε Vqk)-fuzzy filters; fuzzy congruence theory; homomorphism theorem; residuated lattices; Educational institutions; Fuzzy sets; Fuzzy systems; Information processing; Lattices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems and Knowledge Discovery (FSKD), 2012 9th International Conference on
  • Conference_Location
    Sichuan
  • Print_ISBN
    978-1-4673-0025-4
  • Type

    conf

  • DOI
    10.1109/FSKD.2012.6233977
  • Filename
    6233977
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2545755