On the properties of weakening operator

Abstract

Weakening operator has been extensively applied in various fields of data processing before grey modeling in concussion harass system, this paper studies the reasons why the weakening operator can improve the modeling precision effectively. The results indicate that the class ratio of sequence transformed by the weakening operator is smaller than the observed original time series, the degree of smooth of the new sequence is higher than the observed original time series. In addition ,this transformation is grey contractive operator ,the results show that the class ratio of transformed series falls into the capacitable covering interval value or close to this range.