On nilpotent fuzzy matrices

In this paper, we study the issue of nilpotent fuzzy matrices. We first provide some properties of nilpotent fuzzy matrices in terms of eigenvalues. When a finite number of fuzzy matrices are simultaneously considered, we establish some characterizations of the simultaneous nilpotence for a finite number of fuzzy matrices. On the other hand, it is well known that the max–min algebra is one kind of lattice. We shall extend the results on simultaneous nilpotence to matrices on a bounded distributive lattice.