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基于方根变换的灰色GM(1,1)改进模型
引用本文:王志彦,王清心.基于方根变换的灰色GM(1,1)改进模型[J].甘肃科学学报,2012(1):108-111.
作者姓名:王志彦  王清心
作者单位:昆明理工大学信息工程与自动化学院
摘    要:通过对原始序列作方根变换生成新数列并结合优化灰导数的方法,对灰色GM(1,1)模型进行改进,使模型的精确度大为提高.实例计算证明:改进后的模型比原模型的相对精度最大提高了7.88%,最小提高了1.58%,改进模型的实用性和可靠性均优于原始模型.

关 键 词:灰色系统  GM(1  1)模型  方根变换  优化灰导数

An Improved Grey GM(1,1) Model Based on the Root Transformation Method
WANG Zhi-yan,WANG Qing-xin.An Improved Grey GM(1,1) Model Based on the Root Transformation Method[J].Journal of Gansu Sciences,2012(1):108-111.
Authors:WANG Zhi-yan  WANG Qing-xin
Institution:(School of Information Engineering and Automation,Kunming University of Science and Technology,Kunming 650000,China)
Abstract:The root transformation from the primitive sequence to the new sequence is achieved,and combined with the method of the optimized ash derivative,the gray GM(1,1) model was greatly improved in precision.Specific examples show,the model has been improved in accuracy,the maximum increase being 7.88%,the minimum 1.58%,which demonstrates the improved model is better than the original model in usefulness and reliability.
Keywords:grey system  GM(1  1) model  root transformation  optimized grey derivative
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