一类新的变权缓冲算子的构造及其性质研究

The Construction and Properties of a New Class of Variable Weight Buffer Operators

针对传统缓冲算子形式单一,强度不可调节等问题,本文基于新信息优先原理和信息充分利用的原则提出了一类形式更加统一的全信息变权缓冲算子.研究证明了新算子既是强化缓冲算子又是弱化缓冲算子,得到了新算子的作用强度与可变参数的线性关系.此外,还研究了新算子是否能提高序列的光滑度以及可变参数的选择方法.最后结合新GM(1,1)建模方法,运用具体实例说明了新算子的可行性以及有效性,进一步拓宽了缓冲算子的构造方法.

In order to solve the problems of single form and adjustable strength of traditional buffer operators,this paper proposes a class of full information variable weight buffer operators with more uniform formbased on the principle of new information priority and the principle of full utilization of information.It is proved that the new operator is both a strengthening buffer operator and a weakening buffer operator,and the linear relationship between the action intensity of the new operator and variable parameters is obtained.In addition,whether the new operator can improve the smoothness of the sequence and how to select the variable parametersare also studied.Finally,combined with the new GM(1,1)modeling method,a concrete example is used to illustrate the feasibility and effectiveness of the new operator,which further broadens the construction method of buffer operator.