For fuzzy relation inequality system B ≤R A≤ B ,after its fuzzy relation R is obtaind using sign matrix method, fuzzy mapping R is changed into R * as the new input of fuzzy relation in the preparatory system.
I analyse some conclusionsofspectrumarbitraryandgivetwosign patterns. then Iprove two classessignpatternmatrix that are spectrally arbitrary using Nilpotent-Jacobimethod.