In　this　paper,　generalized　fuzzy　matrices　are　considered　as　matrices　over　a　special　type　of　semiring　which　is　called　path　algebra.　Some　properties　and　characterizations　for　nilpotent　generalized　fuzzy　matrices　are　established,　reduction　of　generalized　fuzzy　matrices　is　defined　and　some　properties　of　reduction　of　nilpotent　generalized　fuzzy　matrices　are　obtained.　Partial　results　obtained　in　this　paper　generalize　the　corresponding　ones　on　fuzzy　matrices,　on　lattice　matrices　and　on　incline　matrices.　(C)　2010　Elsevier　B.V.　All　rights　reserved.