基于不动点的强化缓冲算子序列及其应用

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

在灰色系统理论缓冲算子公理体系下,构造了4类强化缓冲算子序列,整合了已有的实用强化缓冲算子,并对它们的缓冲作用进行比较.实例验证了这类算子序列的有效性和实用性,解决了冲击扰动系统行为数据在建模预测过程中出现的定性分析与定量预测不符的问题.

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.