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A Nonlinear Grey Bernoulli Model with Conformable Fractional-Order Accumulation and Its Application to the Gross Regional Product in the Cheng-Yu Area
Wenqing WU, Xin MA, Bo ZENG, Yuanyuan ZHANG
系统科学与信息学报(英文), 2024, 12(2): 245-273.   DOI: 10.21078/JSSI-2023-0119

Year Data GM$ (1, 1) $ CFGM$ (1, 1) $ NGBM$ (1, 1) $ CFNGBM$ (1, 1) $ CFNGBM$ (1, 1, \lambda) $
2013 1293.47 1293.4700 1293.4700 1293.4700 1293.4700 1293.4700
2014 1411.37 1292.9026 1288.3990 1249.8215 1343.8687 1384.6234
2015 1470.10 1482.8115 1501.6987 1480.1593 1491.3364 1546.3541
2016 1609.56 1700.6154 1722.8719 1712.4056 1710.9608 1770.4955
2017 1862.19 1950.4115 1959.5802 1956.5309 1957.4288 2015.6089
2018 2349.31 2236.8992 2216.6377 2218.1700 2224.2990 2275.8978
2019 2601.89 2565.4678 2497.9579 2501.5271 2510.9988 2550.8446
2020 2802.10 2942.2984 2807.2055 2810.3028 2818.4509 2841.1975
2021 3148.08 3374.4800 3148.0800 3148.0789 3148.0800 3148.0799
MAPE$ _{\rm simu} $(%) 4.8876 5.7559 5.8337 4.5925 5.6889
MAPE$ _{\rm pred} $(%) 4.5316 1.3922 1.3834 1.3589 1.1191
MAPE$ _{\rm total} $(%) 4.7541 4.1195 4.1648 3.3799 3.9752
Table 17 The results of the gross regional product of Yibin by the GM$(1, 1)$, CFGM$(1, 1)$, NGBM$(1, 1)$, CFNGBM$(1, 1)$ and CFNGBM$(1, 1, \lambda)$ models.
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