Here, the power convergence of IFMs with respect to two different binary operations have been studied with the help of intuitionistic fuzzy graph. The eigen intuitionistic fuzzy set is also defined here and proved that the row vectors of the limit matrix are the unique eigen intuitionistic fuzzy set of the original IFM. Some properties of the limit matrix are also studied here with numerical examples. A method is investigated to compute the generalized inverse of an IFM. An application of generalized inverse is also provided here. The conditions for a BIFM to be regular are discussed and...