By using grey system theories, based on the present theories of buffer operators, two kinds of strengthening buffer
operators based on the reverse function theory are establishied, which all have the universality and practicability. Meanwhile, their characters and inherent relations among them are studied. The problem of some contradictions between qualitative analysis and quantiative forecast in pretreatment for vibration data sequences is resolved effectively. The buffer operator is connected with function, which gives a new research method by using function to construct buffer operator.