Some Issues Of The Generalized Fuzzy Matrix

In this paper, we investigate some problems of generalized fuzzy matrices. We obtain some characterizations for the transitivity of powers of generalized fuzzy matrices, and prove that any3×3transitive matrix over a special path algebra and any strongly transitive matrix over an arbitrary path algebra have a canonical form, and present three necessary and sufficient conditions for a set of n×n generalized fuzzy matrices to be a simultaneously canonical family. Partial results in this work generalize and develop the corresponding ones on fuzzy matrices, on lattice matrices and on incline matrices.