Abstract:

The definition of R-generalized fuzzy sub-lattices is  introduced. It proved that the finite intersection (union) of a R-generalized fuzzy sub-lattice is still a R-generalized fuzzy sublattice, and the homomorphic image (preimage) of a R-generalized fuzzy sub-lattice is still a R-fuzzy sub-lattice.

Key words: sub-lattice; generalized fuzzy sub-lattice; R-generalized fuzzy sub-lattice; implication operator