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

Autor:	Yuanpeng Zhu, Zehua Jian, Yurui Du, Wenqing Chen, Jiwei Fang
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	GM(1 1) grey theory background value monotonicity-preserving Mathematics QA1-939
Zdroj:	Symmetry, Vol 11, Iss 3, p 420 (2019)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym11030420
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/a8369eec528747a7b95975eaf5ab6772 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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