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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 1470.41 1470.4100 1470.4100 1470.4100 1470.4100 1470.4100
2014 1612.08 1556.5752 1527.5220 1478.8851 1561.8342 1538.7390
2015 1743.00 1768.8603 1800.4645 1772.6133 1787.6091 1819.5812
2016 1957.91 2010.0967 2054.8157 2041.7779 2042.5873 2077.6356
2017 2313.57 2284.2329 2304.0142 2301.1721 2300.8738 2327.4276
2018 2613.30 2595.7557 2554.7134 2558.0619 2559.9964 2576.0353
2019 2856.20 2949.7638 2810.9210 2816.7482 2820.5628 2827.6328
2020 3010.08 3352.0514 3075.4077 3080.1174 3083.6476 3085.0265
2021 3350.30 3809.2028 3350.3000 3350.2997 3350.3000 3350.3000
MAPE$ _{\rm simu} $(%) 1.9063 3.2293 3.3789 2.5179 3.4166
MAPE$ _{\rm pred} $(%) 9.4447 1.2519 1.2360 1.2306 1.1633
MAPE$ _{\rm total} $(%) 4.7332 2.4878 2.5753 2.0352 2.5716
Table 7 The results of the gross regional product of Mianyang by the GM$ (1, 1) $, CFGM$ (1, 1) $, NGBM$ (1, 1) $, CFNGBM$ (1, 1) $ and CFNGBM$ (1, 1, \lambda) $ models
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