Sequence of strengthening buffer operator and its application based on fixed point

Under the axiomatic system of buffer operator in grey system theory, four classes of strengthening buffer operators are established and unificated, which have the universality and practicability. Their inherent relations are compared, an example shows the validity and practicability of the proposed operator. The problem of some contradictions between qualitative analysis and quantitative forecast in pretreatment for vibration data sequences is resolved effectively.