On nilpotent fuzzy matrices

摘要

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.