摘要
针对建模对象是三参数区间灰数,提出了一种三参数区间灰数预测模型.首先,通过相对核、"重心"点和精度提取三参数区间灰数蕴含的灰信息,实现三参数区间灰数到实数的转化.然后,分别对相对核序列、"重心"点序列和"精度"序列建立DGM(1,1)模型,并反推三参数区间灰数3个参数模拟值的表达式,从而构建了基于相对核和精度的三参数区间灰数预测模型.最后,对某上市公司流动资产持有量进行模拟预测以验证所建模型的实用性和可靠性.
Aiming at the modeling object is three-parameter interval grey number,proposes a prediction model that appropriates for three-parameter interval grey number.Firstly,extracts the grey information by calculating relative kernel,"center of gravity" and accuracy of three-parameter interval grey number to realize its whitening.Secondly,respectively establishes the DGM(1,1) model for the relative kernel sequence,the "center of gravity"sequence and the accuracy sequence.According to the calculation formula of relative kernel,"center of gravity" and accuracy,deduces the expression of three-parameter interval grey number.Thus,the three-parameter interval grey number prediction model based on relative kernel and accuracy is constructed.Finally,using the proposed model to simulate the current asset holdings of a listed company to verify its practicability and reliability.
作者
李晔
李娟
LI Ye;LI Juan(College of Information and Management Science,Henan Agricultural University,Zhengzhou 450002,China)
出处
《数学的实践与认识》
北大核心
2020年第13期251-257,共7页
Mathematics in Practice and Theory
基金
河南省软科学研究计划项目(182400410375)
河南省高等学校重点科研项目(20A630015)
河南省高等学校人文社会科学研究一般项目(2020-ZDJH-140)。
关键词
三参数区间灰数
灰色预测
相对核
精度
three-parameter interval grey number
grey prediction
relative kernel
accuracy
