Convergence and Inverse of Intuitionistic Fuzzy Matrices

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 derived the generalized inverse of it. The definition of strongly transitive intuitionistic fuzzy matrix is given and the canonical form of both the transitive and strongly transitive intuitonistic fuzzy matrices are investigated. We introduce the concept of intuitionistic fuzzy linear transformations. With the help of numerical example we conclude that the set of all linear transformations over intuitionistic fuzzy space form a vector space. Lastly, we discuss the solvability of a system of intuitionistic fuzzy linear equations. The maximum solution of the system is also defined here.