In this paper, some lower separation axioms in interval-valued intuitionistic fuzzy topological spaces are proposed. Furthermore, we pay some attention to determining the corresponding variations of them in intuitionistic fuzzy topological spaces. The four different types of the concepts of R◦-ness, T◦-ness, and T1-ness separation axioms are developed and the corresponding R1-ness and T2-ness are defined. Also, some conclusions by establishing some results are drawn and several examples for illustration are provided.