中国科学院数学与系统科学研究院期刊网
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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
Journal of Systems Science and Information, 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 13027.60 13027.6000 13027.6000 13027.6000 13027.6000 13027.6000
2014 14623.78 14660.3057 14474.6793 14419.7501 14460.8603 14473.9196
2015 16040.54 16188.5170 16284.5387 16257.7120 16294.1753 16230.6969
2016 18023.04 17876.0313 18044.2505 18019.4259 18049.5199 17979.0338
2017 20066.29 19739.4544 19828.2366 19804.8763 19826.8504 19771.5042
2018 21588.80 21797.1235 21674.0857 21658.1397 21670.1344 21639.4848
2019 23605.77 24069.2869 23605.7700 23605.7697 23605.7700 23604.7394
2020 25002.79 26578.3039 25641.2743 25667.3082 25653.1080 25684.5408
2021 27894.02 29348.8645 27795.7346 27859.2019 27828.3720 27894.0199
MAPE$ _{\rm simu} $(%) 0.9163 0.8480 0.8786 0.8824 0.8316
MAPE$ _{\rm pred} $(%) 4.4935 0.9687 0.9275 0.9454 0.9104
MAPE$ _{\rm total} $(%) 2.2578 0.8932 0.8970 0.9061 0.8612
Table 5 The results of the gross regional product of Chongqing by the GM$ (1, 1) $, CFGM$ (1, 1) $, NGBM$ (1, 1) $, CFNGBM$ (1, 1) $ and CFNGBM$ (1, 1, \lambda) $ models
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