Interval valued intuitionistic fuzzy graph (IVIFG) is one of the most significant issues in fuzzy graph theory, which has many applications in medical sciences today. IVIFG can manage the uncertainty, connected to the unpredictable and unspecified data of all real-world problems, in which fuzzy graphs will not conceivably ensue into generating adequate results. The limitations of previous definitions in fuzzy graphs have led us to present new definitions in IVIFGs. In this paper, we have introduced certain concepts of covering, matching and paired domination using strong arcs or effective edge in IVIFGs. Likewise, we have calculated strong node covering number, strong independent number, and other parameters of complete bipartite IVIFGs with several examples.
