| 分数阶反向累加非线性灰色Bernoulli模型及其应用 |
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| 引用本文： | 江建明,吴文泽.分数阶反向累加非线性灰色Bernoulli模型及其应用[J].数学的实践与认识,2021(2):48-53. |
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| 作者姓名： | 江建明 吴文泽 |
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| 作者单位： | 百色学院数学与统计学院;华中师范大学经济与工商管理学院 |
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| 基金项目： | 国家自然科学基金(11661001);中央高校基本科研业务资助(优博培育项目)(2019YBZZ062)。 |
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| 摘 要： | 非线性灰色Bernoulli模型相对于普通的GM(1,1)模型,能更好的反映数据序列的非线性增长趋势.分数阶蕴含"in between"思想,分数阶累加灰色模型相对一般的累加灰色模型具有更好的预测效果和适应性.为了更好地符合新信息优先原理,实现最小信息的最大挖掘,构造了分数阶反向累加非线性灰色Bernoulli模型,即...
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| 关 键 词： | 分数阶反向累加 灰色预测 FAONGBM(1 1)模型 粒子群优化算法 |
Nonlinear grey Bernoulli Model with Fractional-order Opposite-direction Accumulation and Its Application |
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| JIANG Jian-ming,WU Wen-ze.Nonlinear grey Bernoulli Model with Fractional-order Opposite-direction Accumulation and Its Application[J].Mathematics in Practice and Theory,2021(2):48-53. |
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| Authors: | JIANG Jian-ming WU Wen-ze |
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| Institution: | (School of Mathematics and Statistics,Baise University,Baise 533000,China;School of Economics and Business Administration,Central China Normal University,Wuhan 430079,China) |
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| Abstract: | The Nonlinear grey Bernoulli model,a derivative model of GM(1,1)model,performs quite well in capturing the nonlinear characteristics hidden in the original series.Fractional order accumulation includes the idea of"in between"so that the grey model with fractional order accumulation can improve prediction performance.To build the suitable model for reflecting the principle of new information priority.This study is to present the Nonlinear grey Bernoulli model with fractional-order opposite-direction accumulation,FAONGBM(1,1)for short.Additionally,the particle swarm optimization algorithm(PSO)is employed to search for the optimal values of fractional order and nonlinear parameter.The numerical results reveal that the proposed model outperforms among commonly-used grey models. |
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| Keywords: | fractional opposite-direction grey prediction FAONGBM(1 1) PSO optimization algorithm |
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