含有时间幂次项的新GM模型建模参数特性研究
发布时间：2019-03-25 17:01
【摘要】：为提升灰色预测模型的精度,在GM(1,1)模型相关研究成果基础上构建了一种含有时间幂次项的灰色预测模型,讨论了该模型参数在系统特征序列经数乘变换前后的量化关系及数乘变换对该模型建模精度的影响程度.研究结果表明:新模型的建模精度与系统特征序列的数乘变换无关。研究结论认为,利用数乘变换可在不改变建模精度前提下简化新模型的建模过程,提高其建模效率。
[Abstract]:In order to improve the precision of grey forecasting model, a grey forecasting model with time power term is constructed on the basis of relevant research results of GM (1,1) model. The quantitative relation of the model parameters before and after the system characteristic series is transformed by the number multiplication transformation is discussed and the influence of the number multiplication transformation on the modeling accuracy of the model is discussed. The results show that the modeling accuracy of the new model is independent of the number-multiplication transformation of the system characteristic sequence. It is concluded that the modeling process of the new model can be simplified and the modeling efficiency can be improved without changing the modeling accuracy by using the number multiplication transform.
【作者单位】： 淮阴工学院经济管理学院;南京航空航天大学灰色系统研究所;
【基金】：国家自然科学基金资助项目(71301060) 教育部人文社会科学研究青年基金项目(13YJC630109);教育部人文社会科学研究规划基金项目(12YJA630122) 江苏省“青蓝工程”中青年学术带头人专项基金(2014)
【分类号】：F224
本文编号：2447155
[Abstract]:In order to improve the precision of grey forecasting model, a grey forecasting model with time power term is constructed on the basis of relevant research results of GM (1,1) model. The quantitative relation of the model parameters before and after the system characteristic series is transformed by the number multiplication transformation is discussed and the influence of the number multiplication transformation on the modeling accuracy of the model is discussed. The results show that the modeling accuracy of the new model is independent of the number-multiplication transformation of the system characteristic sequence. It is concluded that the modeling process of the new model can be simplified and the modeling efficiency can be improved without changing the modeling accuracy by using the number multiplication transform.
【作者单位】： 淮阴工学院经济管理学院;南京航空航天大学灰色系统研究所;
【基金】：国家自然科学基金资助项目(71301060) 教育部人文社会科学研究青年基金项目(13YJC630109);教育部人文社会科学研究规划基金项目(12YJA630122) 江苏省“青蓝工程”中青年学术带头人专项基金(2014)
【分类号】：F224
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