Abstract: The purpose of this note is to obtain some properties of
(∈,∈ ∨q)- fuzzy bi-ideals in a Γ-semigroup in order to characterize
regular and intra-regular Γ-semigroups.
Abstract: In this paper the concept of Q-fuzzification of ideals of Γ-semigroups has been introduced and some important properties have been investigated. A characterization of regular Γ-semigroup in terms of Q-fuzzy ideals has been obtained. Operator semigroups of a Γ-semigroup has been made to work by obtaining various relationships between Q-fuzzy ideals of a Γ-semigroup and that of its operator semigroups.