文章基本信息

标题：A New GM (1, 1) Model Based on Piecewise Rational Quadratic Monotonicity-Preserving Interpolation Spline
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作者：Wenqing Chen ; Yuanpeng Zhu
期刊名称：IAENG International Journal of Computer Science
印刷版ISSN：1819-656X
电子版ISSN：1819-9224
出版年度：2020
卷号：47
期号：1
语种：English
出版社：IAENG - International Association of Engineers
摘要：In the classical GM (1,1) model, in order to reduce the randomness of the original nonnegative sequence, the original nonnegative sequence is cumulatively generated so as to obtain a monotone increasing 1-AGO sequence. The method of background value construction will directly affect the accuracy and applicability of the model. Therefore, the reconstruction of the model background value has great significance to improve its matching and prediction precision. In order to improve the GM (1,1) model, we provide a more logical formula for calculating background value, which is based on a C1 monotonicitypreserving piecewise rational quadratic interpolation spline, and thereby establishing a new GM (1,1) model. Numerical examples show that the new GM (1,1) model is more effective and accurate compared with the classical GM (1,1) model.
关键词：Background value;GM(1;1) model;Grey theory;Monotonicity-Preserving interpolation spline