Abstract: Based on the present theories of buffer operators, we established the GAWBO(Geometric Average Weakening Buffer Operator), WAWBO (Weighted Average Weakening Buffer Operator), and WGAWBO (Weighted Geometric Average Weakening Buffer Operator) and so on, which all have the universality and practicability. At the same time, we studied their some characters and inherent relation between them, and effectively resolves the questions, which often come forth in modeling forecasting of disturbed data sequence by shock wave and there are some contradictions between the quantity result and the qualitative analysis.

Key words: buffer operator, geometric average, weighted average, weakening operator