A study of L-fuzzy prime filters of L-fuzzy sub-lattice

In this paper, based on the definition of prime filters of fuzzy lattice, a new definition of L-fuzzy prime filters of L-fuzzy sub-lattice was given. With the tool of four kinds of level sets, several equivalent characterizations of L-fuzzy prime filters were given. Furthermore, we studied some of the properties of L-fuzzy prime filters. The results obtained on L-fuzzy sublattice will be of more general senses.