• Title of article

    On L-fuzzy ideals of multilattices

  • Author/Authors

    Cdric Awouafack ، Daquin Department of Mathematics and Computer Science - University of Dschang , Carole kengne ، Pierre Department of Mathematics and Computer Science - University of Dschang , Ll ، Clestin Department of Mathematics and Computer Science - University of Dschang

  • From page
    31
  • To page
    47
  • Abstract
    For a given multilattice M, the set image;M of all ideals of M is a complete lattice and for a given complete lattice L, the set FI(M;L) of all L-fuzzy ideals ofMis also a complete lattice. The aim of this paper is to characterize L􀀀fuzzy ideals of multilattice and highlight some of their properties based on the Duality Principle. We establish that FI(M;L) is isomorphic to Hom(L part;; image;M) where L part; is the dual of L. Since multilattices generalize lattices, the results remain true for L-fuzzy ideals of lattices.
  • Keywords
    Duality principle, L􀀀fuzzy subsets, ideals, lattice homomorphisms.2020 Mathematics Subject Classifcation: Primary: 06D72 , Secondary: 06A11, 06B75.
  • Journal title
    Journal of Hyperstructures
  • Journal title
    Journal of Hyperstructures
  • Record number

    2774528

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2774528