Intuitionistic fuzzy soft Γ-semigroups

The notion of intuitionistic fuzzy set was examined by Atanassov as a generalization of the notion of fuzzy set. In this thesis, we introduce the concept of the intuitionistic fuzzy soft sets over a Γ-semigroup by using Atanassov's idea and investigate some of their important properties. The concept of intuitionistic fuzzy soft ideals of Γ-semigroup has been examined. Union, intersection and product of intutionistic fuzzy soft ideals over a Γ-semigroup have been given and proved that these are also intuitionistic fuzzy soft ideals over a Γ-semigroup. Furthermore, intuitionistic fuzzy soft image and intuitionistic fuzzy soft inverse image of intuitionistic fuzzy soft Γ-semigroups are introduced and their basic properties are investigated. We characterize the concept of the normal intuitionistic fuzzy soft Γ-semigroup. Finally, Some lattice structures of the set of all intuitionistic fuzzy soft ideals of Γ-semigroup are derived.