Computation and information theory as one of the branches of mathemathical and computer science has a fast and increasing effect on investigations on different branches of physics especially quantum gravity.Entropy and complexity are two important concepts in information theory that have recently played crucial rules in understanding black hole physics in the frame work of AdS/CFT duality.in this thesis,we primarily get familiar with computational complexity and boundS on it,then we examine recently suggested complexity-volume and complexity-action dualities.computing this dualities on different black holes and analyzing their results,we can see that how holograghic complexity makes it easier to understand black hole physics(especially in interior area).