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 1283.71 1283.7100 1283.7100 1283.7100 1283.7100 1283.7100
2014 1391.70 1325.2404 1310.1724 1270.8811 1310.8242 1328.7180
2015 1463.40 1481.5184 1504.8037 1484.8532 1504.8385 1541.6037
2016 1592.97 1656.2254 1685.6414 1677.9793 1685.5553 1729.9674
2017 1838.25 1851.5345 1862.5012 1862.6038 1862.4290 1907.5826
2018 2115.73 2069.8754 2040.1491 2044.5204 2040.1238 2080.6926
2019 2322.22 2313.9639 2221.4081 2227.0460 2221.4228 2252.7710
2020 2401.10 2586.8364 2408.2002 2412.3461 2408.2274 2426.0208
2021 2601.98 2891.8872 2601.9800 2601.9809 2601.9800 2601.9800
MAPE$ _{\rm simu} $(%) 2.5749 3.8793 4.0349 3.8688 4.7795
MAPE$ _{\rm pred} $(%) 6.4109 1.5456 1.5223 1.5458 1.3428
MAPE$ _{\rm total} $(%) 4.0134 3.0042 3.0927 2.9977 3.4907
Table 15 The results of the gross regional product of Nanchong by the GM$(1,1)$, CFGM$(1,1)$, NGBM$(1,1)$, CFNGBM$(1,1)$ and CFNGBM$(1,1,\lambda)$ models
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