Properties of interval-valued intuitionistic fuzzy rough sets with implicators

By employing two interval-valued intuitionistic fuzzy implicators I and J,interval-valued intuitionistic fuzzy rough sets with implicators are first defined in the interval-valued intuitionistic fuzzy approximation space.Properties of interval-valued intuitionistic fuzzy rough sets with implicators are proved.Finally,the reflexivity,symmetry and transitivity of interval-valued intuitionistic fuzzy relations are characterized.