In this paper, we define a new algebraic structure of L-Q-fuzzy sub z-groups and L -Q-fuzzy quotient z-groups and discussed some properties. We also defined ?-Q-homomorphism over L-Q-fuzzy quotient z–groups. Some related results have been derived.
Mathematics Subject Classifications: 04A72; 03E72; 03F55; 20N25
Keywords: L-fuzzy subset; L-Q-fuzzy subset; z-Q-homomorphism; L-Q-fuzzy Sub z- groups; L-Q-fuzzy quotient z-groups