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An ARMA Type Fuzzy Time Series Forecasting Method Based on Particle Swarm Optimization

机译:基于粒子群算法的ARMA型模糊时间序列预测方法

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摘要

In the literature, fuzzy time series forecasting models generally include fuzzy lagged variables. Thus, these fuzzy time series models have only autoregressive structure. Using such fuzzy time series models can cause modeling error and bad forecasting performance like in conventional time series analysis. To overcome these problems, a new first-order fuzzy time series which forecasting approach including both autoregressive and moving average structures is proposed in this study. Also, the proposed model is a time invariant model and based on particle swarm optimization heuristic. To show the applicability of the proposed approach, some methods were applied to five time series which were also forecasted using the proposed method. Then, the obtained results were compared to those obtained from other methods available in the literature. It was observed that the most accurate forecast was obtained when the proposed approach was employed.
机译:在文献中,模糊时间序列预测模型通常包括模糊滞后变量。因此,这些模糊时间序列模型仅具有自回归结构。与常规时间序列分析一样,使用这种模糊时间序列模型可能会导致建模错误和不良的预测性能。为了克服这些问题,本研究提出了一种新的一阶模糊时间序列,其预测方法包括自回归结构和移动平均结构。此外,所提出的模型是时不变模型,并且基于粒子群优化启发式算法。为了显示该方法的适用性,将一些方法应用于五个时间序列,并使用该方法对这些时间序列进行了预测。然后,将获得的结果与从文献中可用的其他方法获得的结果进行比较。据观察,采用所提出的方法可获得最准确的预测。

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  • 来源
    《Mathematical Problems in Engineering》 |2013年第8期|935815.1-935815.12|共12页
  • 作者单位

    Department of Statistics, Ondokuz Mayis University, 55139 Samsun, Turkey;

    Department of Statistics, Ankara University, 06100 Ankara, Turkey;

    Department of Statistics, Hacettepe University, 06100 Ankara, Turkey;

    Medical High School, Hitit University, 19000 Corum, Turkey;

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