Abstract: The starting-point of the paper is shock-vibration problem which often appears in prediction,under buffer operator axioms of grey system theories,t-AWBO (t-power Weakening Buffer Operator) sequence is established which has the practicability,and some existing weakening buffer operators are arranged.Their characters and inherent relation are studied.An example shows their validity and practicability,the problem that some contradictions between quantitative analysis and qualitative forecast for shock-vibration data sequences is resolved effectively.

Key words: weakening buffer operator, operato rsequence, grey system