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 1159.16 1159.1600 1159.1600 1159.1600 1159.1600 1159.1600
2014 1272.12 1244.4203 1229.2475 1212.6902 1257.0795 1255.4409
2015 1366.56 1377.3405 1390.5689 1383.1476 1373.5877 1426.2945
2016 1495.49 1524.4584 1543.5620 1540.4179 1531.4351 1584.8349
2017 1697.58 1687.2904 1695.7064 1694.8231 1694.8179 1737.7772
2018 1879.53 1867.5149 1850.6647 1850.9296 1858.7678 1888.9372
2019 2041.49 2066.9897 2010.6590 2011.3416 2022.6662 2040.6604
2020 2117.80 2287.7711 2177.2576 2177.8171 2186.8134 2194.5292
2021 2351.70 2532.1347 2351.7000 2351.6988 2351.7000 2351.7000
MAPE$ _{\rm simu} $ (%) 1.2298 1.9975 2.1148 1.0735 2.9050
MAPE$ _{\rm pred} $ (%) 5.6491 1.4392 1.4369 1.3936 1.2212
MAPE$ _{\rm total} $ (%) 2.8870 1.7882 1.8606 1.1935 2.2736
Table 19 The results of the gross regional product of Dazhou by the GM$(1, 1)$, CFGM$(1, 1)$, NGBM$(1, 1)$, CFNGBM$(1, 1)$ and CFNGBM$(1, 1, \lambda)$ models
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