调和变权缓冲算子及其作用强度比较

针对传统缓冲算子不能实现作用强度的微调, 从而导致缓冲作用效果过强或过弱的问题, 构造了调和变权弱化缓冲算子(VWHWBO) 和调和变权强化缓冲算子(VWHSBO), 研究了该类缓冲算子调节度与可变权重之间的关系, 比较了调和变权缓冲算子与算术变权缓冲算子、几何变权缓冲算子的作用强度, 并探讨了该类缓冲算子的优化问题. 结果表明, 该类缓冲算子对序列的调节度是可变权重的单调增函数, 在控制作用强度方面的灵活性要明显优于传统缓冲算子; 算术变权缓冲算子、几何变权缓冲算子与调和变权缓冲算子的弱化算子和强化算子的作用强度都是依次递减的. 最后, 以我国能源消费总量的预测问题为例验证了调和变权缓冲算子的有效性与优越性, 以及三算子的作用强度.

Harmonic buffer operators with variable weights and effect strength comparison

Traditional buffer operators can not realize fine tuning of effect intensity, which leads to problems that the effectiveness of buffer action may be too strong or too weak. Considering this situation, this subject respectively construct harmonic weakening buffer operators with variable weights and harmonic strengthening ones, and defines the relationship between the regulation degree of buffer operator and their variable weights. We compare the regulation degrees of buffer operators, geometry buffer operators and harmonic ones with variable weights. The results show that, variable weights are similar to higher-order effect operator in function, while the flexibility of them in the aspect of strength controlling of buffer operator are much better than that of higher-order buffer operators. Finally, the validity and the superiority of the buffer operators with variable weights are validated by the forecasting problem of China energy consumption amount, and effect strength with others is compared.