  In this paper, we have discussed several properties of intuitionistic fuzzy
{\Gamma}-ideals of a {\Gamma}-AG-groupoid which is the generalization of ideals
in AG-groupoid We have characterized an intra-regular {\Gamma}-AG^{**}-groupoid
in terms of intuitionistic fuzzy {\Gamma}-left (right, two-sided) ideals,
intuitionistic fuzzy ({\Gamma}-generalized bi) {\Gamma}-bi-ideals,
intuitionistic fuzzy {\Gamma}-interior ideals and intuitionistic fuzzy
{\Gamma}-quasi ideals. We have proved that the intuitionistic fuzzy
{\Gamma}-left (right, interior, quasi) ideals coincide in an intra-regular
{\Gamma}-AG^{**}-groupoid. We have also shown that the set of intuitionistic
fuzzy {\Gamma}-two-sided ideals of an intra-regular {\Gamma}-AG^{**}-groupoid
forms a semilattice structure.
