基于粗糙集的自适应预测系统设计

Young-Keun Bang, Chil-Heui Lee
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摘要

本文提出了一种利用T-S模糊模型进行时间序列预测的多重预测系统。为了设计具有更好性能的预测器,特别是对于混沌或非线性时间序列,差分数据作为预测器的输入,因为它们比原始数据更有效地揭示了时间序列中隐藏的统计模式和规律。所提出的方法包括三个主要步骤。首先,基于最优差分候选者构造多模型模糊预测器。其次,设计了一种基于粗糙集的自适应驱动机制(ADM),用于根据每个输入数据从多个预测器中选择最佳预测器。最后,提出了一种基于互相关分析的误差补偿机制(ECM),以进一步提高预测性能。通过对各种典型时间序列的计算机仿真,验证了该方法的有效性。
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Design of adaptive prediction system based on rough sets
In this paper, a multiple prediction system using T-S fuzzy model is presented for time series forecasting. To design predictors with better performance especially for chaos or nonlinear time series, difference data were used as their input, because they reveal the statistical patterns and the regularities concealed in time series more effectively than the original data can. The proposed method consists of three major procedures. First, multiple model fuzzy predictors (MMFPs) are constructed based on the optimal difference candidates. Next, an adaptive drive mechanism (ADM) based on rough sets is designed for the selection of the best one among the multiple predictors according to each input data. Finally, an error compensation mechanism (ECM) based on the cross-correlation analysis is suggested in order to enhance further the prediction performances. Also we show the effectiveness of the proposed method by computer simulation for the various typical time series.
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