一类基于不动点新的强化缓冲算子的构造及其应用

A Kind of New Strengthening Buffer Operators and Their Applications

在灰色系统理论缓冲算子公理体系下,基于严格单调递增函数和时间序列的平均发展速度构造了一类新的强化缓冲算子,并研究其一些特性和内在联系,有效解决了冲击扰动数据序列在建模预测过程中经常出现的定量预测结果与定性分析结论不符的问题,实例分析结果表明该算子的有效性和实用性。

Under the axiomatic system of buffer operator in grey system theory,some new strengthening buffer operators are established,which have been based on average tempo of time series. Meanwhile,the characters and the inherent relation among them are studied. The problem that there are some contradictions between quantitative analysis and qualitative analysis in pretreatment for vibration data sequences is resolved effectively. A practical example shows theirs validity and practicability.