(epsilon, epsilon Vq (lamda, mu))-Fuzzy Regular * -Semigroups

In this paper, we introduce the definitions of (ϵ, ϵ Vq_{(λ, μ)})-fuzzy regular * - semi groups and generalized fuzzy regular *-semi groups. Based on these, the properties of level sets and characteristic function of them are discussed. Besides, we also give their equivalent forms and properties of homomorphic image and homomorphic pre image in a homomorphim of semigroups.