A New GM(1,1) Model Based on Cubic Monotonicity-Preserving Interpolation Spline
| Autor: | Zehua Jian, Wenqing Chen, Yuanpeng Zhu, Yurui Du, Jiwei Fang |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
0209 industrial biotechnology
grey theory Physics and Astronomy (miscellaneous) General Mathematics Model prediction Monotonicity preserving lcsh:Mathematics background value 02 engineering and technology lcsh:QA1-939 GM(1 1) Spline (mathematics) 020901 industrial engineering & automation Monotone polygon Time response Chemistry (miscellaneous) monotonicity-preserving 0202 electrical engineering electronic engineering information engineering Computer Science (miscellaneous) Piecewise Applied mathematics 020201 artificial intelligence & image processing Mathematics Interpolation |
| Zdroj: | Symmetry Volume 11 Issue 3 Symmetry, Vol 11, Iss 3, p 420 (2019) |
| 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: | OpenAIRE |
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