基于单调函数的若干实用强化缓冲算子的构造

The Construction of Practical Strengthening Buffer Operator Based on the Monotone Function

在灰色系统缓冲算子公理体系下,构造了2类新强化缓冲算子,并将其与谢氏强化缓冲算子进行比较,论证了谢氏强化缓冲算子为新算子的特例,从而大大地拓广了强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。

Under the axiom framework of buffer operators in grey system, in this paper we propose two kinds of buffer operators. After eomparing them with traditional strenthening buffer operator, we find that the latter is a special example of new strengthening buffer operators, which greatly extends the application range of strenthening buffer operators. Many solutions to the disagreement between quantitavieve forcast results and the conclusions of qualitative analysis when data series of the shock viberation system are used in model forcasting, in which the increae （decline） rate of the former part of the sequence is too fast while the increae （decline） rate of its latter part is too slow. It＇s a pioneering research connecting the structure of buffer operator with functions, which breaks a new path for the construction of buffer operators.