In 1965, Zadeh [7] introduced the concept of fuzzy sets which formed the
fundamental of fuzzy mathematics. The fuzzy matrices introduced first time by
Thomason [5], and he discussed about the convergence of powers of fuzzy matrix.
Cen [2] introduced T-ordering in fuzzy matrices and discussed the relationship
between the T- ordering and the generalized inverses. Meenakshi. AR and Inbam.
C [3] studied the minus ordering for fuzzy matrices and proved that the minus
ordering is a partial ordering in the set of all regular fuzzy matrices. Atanassov [1]
introduced and studied the concept of intuitionistic fuzzy sets as a generalization of
fuzzy sets. Using the idea of intuitionistic fuzzy sets Im and Lee [6] defined the
concept of intuitionistic fuzzy matrix as a natural generalization of fuzzy matrices
and they introduced the determinant of square intuitionistic fuzzy matrix. Susanta
K. Khan and Anita Pal [4] introduced the concept of generalized inverses for
intuitionistic fuzzy matrices, minus partial ordering and studied several properties
of it.
Definition 1.1: An m x n matrix A = (aij
) whose components are in the unit interval
[0,1] is called a fuzzy matrix.