Intuitionistic fuzzy subgroups and its characterizations

A notion of intuitionistic fuzzy subgroups and ordinary intuitionistic fuzzy subgroups is presented in this paper, which based on intuitionistic fuzzy sets. At the same time, whose some considered properties are presented. The emphasis here is on some equivalent characterizations of intuitionistic fuzzy subgroups. The equivalent characterizations based on level cut sets. It is proved that the method presented in this paper is useful.