Our aim in this paper is to introduce and study a new sort of fuzzy sublattice (ideal, filter) of a lattice called (∈,∈ ∨q) -fuzzy sublattice (ideal, filter). These fuzzy sublattices (ideals, filters) are characterized by their level sublattices (ideals, filters). Finally, we give a generalization of (∈,∈ ∨q) -fuzzy sublattices (ideals, filters).