针对现有灰色预测模型主要以一阶累加生成序列作为建模序列,《分数阶算子与灰色预测模型研究》重点研究基于分数阶算子的灰色预测模型。在一阶累加生成算子与一阶累减生成算子基础上推导出分数阶累加生成算子与分数阶累减生成算子,两分数阶算子满足交换律、指数率与互逆性。建立了分数阶算子GM(1,1)模型与分数阶算子离散GM(1,1)模型,分别给出两模型在最小平均相对误差与最小均方误差条件下的阶数优化算法,大量算例表明《分数阶算子与灰色预测模型研究》提出模型普遍具有更高精度。通过数值模拟研究了分数阶算子GM(1,1)模型与分数阶算子离散GM(1,1)模型的适用范围。
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Seller: liu xing, Nanjing, JS, China
paperback. Condition: New. Paperback. Pub Date: 2015-09-01 Pages: 164 Language: Chinese Publisher: Science Press. mainly in the first order accumulated generating sequence gray forecasting model as the existing model series. Child with Grey Prediction Model fractional operators focus on gray prediction model based on fractional operator. In the first order accumulated generating operator of the first order regressive generate operator deducing Fractional accumulated generating operator and fractional Accumulated genera. Seller Inventory # CX029898