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In this paper, we have discussed several properties of intuitionistic fuzzy{\Gamma}-ideals of a {\Gamma}-AG-groupoid which is the generalization of idealsin AG-groupoid We have characterized an intra-regular {\Gamma}-AG^{**}-groupoidin 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 intuitionisticfuzzy {\Gamma}-two-sided ideals of an intra-regular {\Gamma}-AG^{**}-groupoidforms a semilattice structure.

{\Gamma}-Abel-Grassmann's groupoids characterized by their intuitionistic {\Gamma}-ideals