| 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. |
