Intuitionistic Fuzzy Block Matrix and its Some Properties

If in an intuitionistic fuzzy matrix each element is again a smaller intuitionistic fuzzy matrix then the intuitionistic fuzzy matrix is called intuitionistic fuzzy block matrix (IBFMs). In this paper, the concept of intuitionistic fuzzy block matrices (IBFMs) are introduced and defined different types of intuitionistic fuzzy block matrices (IBFMs). The operations direct sum, Kronecker sum, Kronecker product of intuitionistic fuzzy matrices are presented and shown that their resultant matrices are intuitionistic fuzzy block matrices (IBFMs). Also, some relational operations are presented and prove some properties of intuitionistic fuzzy block matrices (IBFMs). AMS Mathematics Subject Classification (2010): 08A72, 15B15