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In this paper the concept of the extension of intuitionistic fuzzy h-ideals in one sided Г-hemiring is introduced and some of the basic properties are investigate. Finally we have explained the extension of intuitionistic fuzzy h-bi-ideal, intuitionistic fuzzy h-interior ideal and h-quasi-ideals and discussed the some of its properties. Mathematical Subject Classification: 08A72, 16Y60, 13E05, 16Y99doi:10.12988/ijma.2015.5377 fatcat:owvx6mbijjdt7pmu45pfyo2ybe