On L-fuzzy ideals of multilattices

For a given multilattice M, the set IM 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 of M is 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(\mathcal{L}^\partial,\mathfrak{I}_{\mathcal{M}}) where \mathcal{L}^{\partial} is the dual of L. Since multilattices generalize lattices, the results remain true for L-fuzzy ideals of lattices.