基于单调递增函数的新的强化缓冲算子的构造及其应用

在灰色系统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3类新的强化缓冲算子，并研究了其内在的特性和内在联系，有效的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，并通过实例对比分析表明了该算子的有效性和实用性，从而为缓冲算子的构造开辟了新的方向。

Study on the New Strengthening Buffer Operator Based on the Monotone Increasing Function

Under the axiomatic system of buffer operator in grey system theory,we constructed three new strengthening buffer operators on the basis of monotone increasing function. Meanwhile,we prove them to be strengthening buffer operators and they have some characters and the inherent relations. 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 practicabili-ty,and break a new path for the construction of the strengthening buffer operators.