基于单调函数的新弱化缓冲算子研究

Study on weakening buffer operator based on strictly monotone function

在灰色系统缓冲算子公理体系下,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,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, two kinds of buffer operators based on the strictly monotone function are proposed, which all have the universality and practicability. Dang＇s weakening buffer operators are proved to be special examples, so it expands applied range about buffer operators. The problem of some contradictions between qualitative analysis and quantiative forecast in pretreatment for vibration data sequences is resolved effectively. Some contradictions between buffer operatores and function are given. Which provides a new method about the buffer operator.