Under the axiomatic system of buffer operator in grey system theory, a new class of weakening buffer operators with exponential type is established. It can effectively resolve the problem that there are some contradictions between quantitative analysis and qualitative analysis in pretreatment for vibration data sequences. Finally, this paper gives the forecast about the China energy requirement in a short period by using the new weakening buffer operators. The conclusion shows the new weakening buffer operators increase the forecast precision of the data forecast model remarkable.