A New GM(1,1) Model Based on Cubic Monotonicity-Preserving Interpolation Spline

Symmetry

Wenqing Chen¹  Zehua Jian¹  Jiwei Fang¹  Yurui Du¹  Yuanpeng Zhu² 

[1] School of Business Administration, South China University of Technology, Guangzhou 510640, China;School of Mathematics, South China University of Technology, Guangzhou 510640, China;

关键词: GM(1,1);    grey theory;    background value;    monotonicity-preserving;   

DOI  :  10.3390/sym11030420

来源: DOAJ

【 摘 要 】

In the classical GM(1,1) model, an accumulated generating operation is made on the original non-negative sequence to obtain a monotone increasing 1-AGO sequence, and the forecasting model is established based on the 1-AGO sequence. A great number of scholars have improved the accuracy of grey model prediction through better developed background value and the equation for the time response. In this work, we reconstruct the background value based on a new developed monotonicity-preserving piecewise cubic interpolations spline, and thereby establish a new GM(1,1) model. Numerical examples show that the new GM(1,1) model has better prediction quality of data than the original GM(1,1) model and improves the precision of prediction in practice.

【 授权许可】

Unknown