Intuitionistic fuzzy rough set based on intuitionistic similarity relation

Intuitionistic fuzzy set theory, proposed by Atanassov, is the most influential extension of Zadehpsilas fuzzy set theory. This paper combines intuitionistic fuzzy set theory with rough set theory and presents a model of intuitionistic fuzzy rough set based on similarity relation. Intuitionistic fuzzy logic operators and intuitionistic fuzzy similarity relation are introduced into intuitionistic fuzzy approximation space. Some properties of intuitionistic fuzzy logic operators are proven. Several properties of proposed model are classified and examined as well.