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 915.11 915.1100 915.1100 915.1100 915.1100 915.1100
2014 973.86 948.3987 945.7211 942.7257 971.0887 980.0283
2015 1018.00 1025.1867 1027.7195 1026.6834 1010.5014 1028.1554
2016 1086.43 1108.1919 1111.6211 1111.2706 1100.5145 1117.2273
2017 1182.11 1197.9176 1199.2976 1199.2222 1199.1230 1213.0931
2018 1318.83 1294.9081 1291.7955 1291.8225 1299.8282 1310.4811
2019 1433.30 1399.7515 1389.8733 1389.9212 1401.1927 1408.3254
2020 1465.88 1513.0836 1494.1747 1494.2055 1502.9811 1506.5395
2021 1605.30 1635.5918 1605.3000 1605.2999 1605.3000 1605.3000
MAPE$ _{\rm simu} $(%) 1.6949 1.9333 1.9664 1.0395 1.5439
MAPE$ _{\rm pred} $(%) 2.4826 1.6534 1.6529 1.5904 1.5054
MAPE$ _{\rm total} $(%) 1.9903 1.8284 1.8488 1.2461 1.5295
Table 14 The results of the gross regional product of Neijiang by the GM$(1, 1)$, CFGM$(1, 1)$, NGBM$(1, 1)$, CFNGBM$(1, 1)$ and CFNGBM$(1, 1, \lambda)$ models
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