An Improved Nonhomogeneous Grey Model with Fractional-Order Accumulation and Its Application
The nonhomogeneous grey model has been seen as an effective method for forecasting time series with approximate nonhomogeneous index law, which has been widely used in diverse disciplines on account of its high prediction precision. However, there remains room for improvements. For this, this study...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/9962565 |
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| _version_ | 1832560551948976128 |
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| author | Shuanghua Liu Qin Qi Zhiming Hu |
| author_facet | Shuanghua Liu Qin Qi Zhiming Hu |
| author_sort | Shuanghua Liu |
| collection | DOAJ |
| description | The nonhomogeneous grey model has been seen as an effective method for forecasting time series with approximate nonhomogeneous index law, which has been widely used in diverse disciplines on account of its high prediction precision. However, there remains room for improvements. For this, this study presents an improved nonhomogeneous grey model by incorporating the dynamic integral mean value theorem and fractional accumulation simultaneously. In order to promote the efficacy of the optimised model, we apply the whale optimization algorithm (WOA) to ascertain its optimal parameter. In particular, two examples are conducted to validate the superiority of the proposed model in contrast with other benchmarks, and the experimental results show that the mean absolute percentage error of the proposed approach is 808692% and 6.0706%, respectively, indicating the proposed approach performs better than other competing models. |
| format | Article |
| id | doaj-art-c0dccabc61b945c5b4d1e4350a9e49c7 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-c0dccabc61b945c5b4d1e4350a9e49c72025-02-03T01:27:22ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/99625659962565An Improved Nonhomogeneous Grey Model with Fractional-Order Accumulation and Its ApplicationShuanghua Liu0Qin Qi1Zhiming Hu2School of Mathematics and Statistics, Baise University, Baise 533000, ChinaSchool of Economics and Management, Tongji University, Shanghai 200092, ChinaZhejiang College, Shanghai University of Finance & Economics, Jinhua 321013, ChinaThe nonhomogeneous grey model has been seen as an effective method for forecasting time series with approximate nonhomogeneous index law, which has been widely used in diverse disciplines on account of its high prediction precision. However, there remains room for improvements. For this, this study presents an improved nonhomogeneous grey model by incorporating the dynamic integral mean value theorem and fractional accumulation simultaneously. In order to promote the efficacy of the optimised model, we apply the whale optimization algorithm (WOA) to ascertain its optimal parameter. In particular, two examples are conducted to validate the superiority of the proposed model in contrast with other benchmarks, and the experimental results show that the mean absolute percentage error of the proposed approach is 808692% and 6.0706%, respectively, indicating the proposed approach performs better than other competing models.http://dx.doi.org/10.1155/2021/9962565 |
| spellingShingle | Shuanghua Liu Qin Qi Zhiming Hu An Improved Nonhomogeneous Grey Model with Fractional-Order Accumulation and Its Application Journal of Mathematics |
| title | An Improved Nonhomogeneous Grey Model with Fractional-Order Accumulation and Its Application |
| title_full | An Improved Nonhomogeneous Grey Model with Fractional-Order Accumulation and Its Application |
| title_fullStr | An Improved Nonhomogeneous Grey Model with Fractional-Order Accumulation and Its Application |
| title_full_unstemmed | An Improved Nonhomogeneous Grey Model with Fractional-Order Accumulation and Its Application |
| title_short | An Improved Nonhomogeneous Grey Model with Fractional-Order Accumulation and Its Application |
| title_sort | improved nonhomogeneous grey model with fractional order accumulation and its application |
| url | http://dx.doi.org/10.1155/2021/9962565 |
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