一种新弱化缓冲算子的构造

Study on the Weakening Buffer Operator Based on the Strictly Monotone Function

在灰色系统缓冲算子公理体系下,本文利用反函数定理,构造了2类新弱化缓冲算子,并将其与党氏弱化缓冲算子进行比较,论证了党氏弱化缓冲算子为新算子的特例,研究了其特性及各种弱化缓冲算子之间的内在关系,从而大大地拓广了弱化缓冲算子的应用范围.对序列前一部分增长(衰减)速度过快,而后一部分增长(衰减)速度过慢的冲击扰动系统数据序列在建模预测过程中常常出现的定量预测结果与定性分析结论不符的问题,提供了多种解决方案,首次将缓冲算子的构造与函数联系起来,从而为缓冲算子的构造开辟了新方向。

Based on the present theories of buffer operators,We propose in this paper several kinds of buffer operators based on the strictly monotone function,which all have the universality and practicability.we prove them to be weakening buffer operators.The problem of some contradictions between qualitative analysis and quantiative forecast in pretreatment for vibration data sequences is resolved effectively.