变权缓冲算子及缓冲算子公理的补充

基于冲击扰动系统的相关概念,提出了变权缓冲算子的概念,分别构造了变权弱化缓冲算子和变权强化缓冲算子,定义了缓冲算子调节度来反映缓冲算子对原始序列的作用强度,并研究了缓冲算子调节度与可变权重之间的关系,在此基础上提出了缓冲算子的单调性不变公理.结果表明,可变权重在功能上类似于高阶作用算子,但在控制缓冲算子作用强度方面的灵活性要明显优于高阶缓冲算子.因此,变权缓冲算子有效地解决了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.

Buffer Operators with Variable Weights and the Complement of Axioms

Based on some related concepts of shock disturbed system,weakening buffer operators with variable weights and strengthening ones with variable weights are established respectively.This subject defines buffer operator regulation degree which reflects effect strength to original sequence caused by buffer operator,and also studie the relationship between buffer operator regulation degree and variable weight.Consequently,the monotonicity nonvariable axim of buffer operator is put forward.The results show that,v...