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Intuitionistic fuzzy relations on finite universes can be represent byintuitionistic fuzzy matrices and the  limiting behavior of the power matrices depends on the algebraic operationemployed on the matrices. In this  paper, the power of intuitionistic fuzzy matrices with maxgeneralizedmean-mingeneralized mean operation have  been studied. Here it is shown that the power of intuitionistic fuzzymatrices with the said operations are  always convergent. The convergence of powers for an intuitionistic fuzzymatrix with convex combination of  max-min and maxarithmetic mean-minarithmetic mean are also dicussed here.

Convergence of maxgeneralized mean-mingeneralized mean powers of intuitionistic fuzzy matrices