A kind of interval-valued intuitionistic fuzzy rough set model based on an interval-valued intuitionistic fuzzy
implicator is proposed. Firstly, the concepts of an interval-valued intuitionistic fuzzy set, an interval-valued intuitionistic
fuzzy relation and interval-valued intuitionistic fuzzy logical operators are introduced. Then, by employing an interval-
valued intuitionistic fuzzy triangle norm and an interval-valued intuitionistic fuzzy implicator, upper approximations and
lower approximations of interval-valued intuitionistic fuzzy sets with respect to an interval-valued intuitionistic fuzzy
approximation space are defined. Finally, basic properties of these interval-valued intuitionistic fuzzy rough approximation operators are examined.