洛阳师范学院学报2024,Vol.43Issue(8) :1-7.

新型近似非齐次反向累加灰色模型研究及应用

Research on the Novel Approximate Non-homogeneous Grey Model with Opposite-direction Accumulated Generation and Its Application

李长春 陈友军 马焕钦
洛阳师范学院学报2024,Vol.43Issue(8) :1-7.

新型近似非齐次反向累加灰色模型研究及应用

Research on the Novel Approximate Non-homogeneous Grey Model with Opposite-direction Accumulated Generation and Its Application

李长春 1陈友军 1马焕钦1
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作者信息

  • 1. 西华师范大学 数学与信息学院,四川 南充 637009
  • 折叠

摘要

为提高灰色预测模型对不同特征序列的适应性,避免模型参数估计与参数应用的"非同源性",实现模型优化与模型检验两个准则的一致性,基于背景值、建模机理、初始条件三个视角构建了一种新型近似非齐次反向累加灰色模型.研究表明,该模型对衰减序列、增长序列、齐次指数序列和非齐次指数序列都有较高的精度,是对现有灰色预测模型的有效补充.

Abstract

This research aims to improving the adaptability to different feature sequences,avoiding the"non-homology"between parameter estimation and parameter application of the model,and achieving the consistency be-tween the two criteria of model optimization and model testing.The researchers constructed a novel approximate non-homogeneous grey forecasting model with opposite-direction accumulated generation based on background val-ue,modeling mechanism and initial condition.The result shows that the novel model has high accuracy for deca-ying sequence,growing sequence,homogeneous and non-homogeneous exponential sequences,which is an effec-tive supplement to the existing grey forecasting model.

关键词

灰色模型/反向累加生成/近似非齐次/背景值/初始条件

Key words

grey model/opposite-direction accumulated generation/approximate non-homogeneous/back-ground value/initial condition

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出版年

2024
洛阳师范学院学报
洛阳师范学院

洛阳师范学院学报

CHSSCD
影响因子:0.219
ISSN:1009-4970
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