新弱化缓冲算子的构造及其优化 |
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作者单位: | ;1.平顶山学院数学与统计学院;2.平顶山学院计算机学院 |
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摘 要: | 为了减缓冲击扰动的影响,揭示事物发展的内在规律,根据微积分思想的导数定义、缓冲算子公理和新信息优先的原则,提出了新的弱化算子,并用最小二乘法研究了该弱化算子的优化问题.最后,以我国能源消费总量和能源生产总量预测问题为例,两个算例的结果显示弱化算子可以明显地提高预测精度,验证了弱化算子的有效性和优越性.
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关 键 词: | GM(1,1)模型 弱化算子 最小二乘法 预测 |
The Structure of Novel Weakening Buffer Operator and its Optimization |
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Affiliation: | ,School of Mathematics and Statistics,Pingdingshan University,School of Computer,Pingdingshan University |
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Abstract: | In order to weaken the disturbances of the effects of shock perturbations and reveal the real situation,the novel weakening buffer operator is proposed based on the calculus way of thought derivative definition,the three axioms of buffer operators and the principle of prior using new information. Furthermore,these writers make further discussion on the optimization of this kind of buffer operators by means of the least squares. Finally,taking the forecasting problems of China's energy consumption amount and demand amount as an example,two real cases show that the proposed weakening buffer operator has higher forecasting performances,effectiveness and superiority. |
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Keywords: | GM(1,1) model weakening buffer operator least square method prediction |
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