Abstract: We discussed the relation between intuitionistic fuzzy rough sets and group structure. By drawing on the T-intuitionistic fuzzy normal subgroup,we obtained the T intuitionistic fuzzy similarity relation on group,and set up intuitionistic fuzzy rough sets on group. We studied the product of the intuitionistic fuzzy rough sets and the properties of intuitionistic fuzzy rough upper and lower approximate perators under group homomorphis.

Key words: Intuitionstic fuzzy sets, Intuitionstic fuzzy rough sets, T-intuitionstic fuzzy subgroups, T-intuitionstic fuzzy normal subgroups