Several Generalized Fuzzy. Grid (prime) Ideal

In this paper, we first discussed some properties of fuzzy ideals on lattices, proved a few main properties, and we obtained the relationships between the image of fuzzy ideal and its inverse image in the homomorphic mapping of the lattice (?), and established the correspondence relations between fuzzy ideal and fuzzy congruence ideal. Secondly, (∈,∈Vq)—fuzzy prime ideal of a lattice is defined and characterizations of such fuzzy ideal are obtained. Furthermore, (λ,μ)—fuzzy sublattice and ideals of a lattice are introduced, and some prop-erties of them are discussed. Next, some necessary and sufficient conditions of (∈,∈Vq)—fuzzy prime ideal are obtained. Moreover, the relationships between sublattice and (λ,μ)—fuzzy ideal are discussed. Finally, we discuss some basic properties of L—fuzzy lattice, and introduce the concepts (λ,μ)—fuzzy sublat-tice, (λ,μ)—fuzzy ideal(dual ideal)and (λ,μ)—fuzzy convex sublattice. And the relationship between (λ,μ)—fuzzy convex sublattice and level sublattice is built.