Minimizing of Forecasting Error in Fuzzy Time Series Model Using Graph-Based Clustering Method

N. T. Hai Yen
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Abstract

In recent years, numerous fuzzy time series (FTS) forecasting models have been developed to address complex and incomplete problems. However, the accuracy of these models is specific to the problem at hand and varies across datasets. Despite claims of superiority over traditional statistical and single machine learning-based models, achieving improved forecasting accuracy remains a formidable challenge. In FTS models, the lengths of intervals and fuzzy relationship groups are considered crucial factors influencing forecasting accuracy. Hence, this study introduces an FTS forecasting model based on the graph-based clustering technique. The clustering algorithm, utilized during the fuzzification stage, enables the derivation of unequal interval lengths. The proposed model is applied to forecast two numerical datasets: enrollment data from the University of Alabama and the datasets of Gas prices RON95 in Vietnam. Comparisons of forecasting results between the proposed model and others are conducted for enrollment forecasts at the University of Alabama. The findings reveal that the proposed model achieves higher forecasting accuracy across all orders of fuzzy relationships when compared to its counterparts
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利用基于图的聚类方法最小化模糊时间序列模型中的预测误差
近年来,人们开发了许多模糊时间序列(FTS)预测模型,以解决复杂和不完整的问题。然而,这些模型的准确性取决于手头的问题,而且在不同的数据集上也各不相同。尽管有人声称这些模型优于传统的统计模型和单一的基于机器学习的模型,但要提高预测精度仍然是一项艰巨的挑战。在 FTS 模型中,区间长度和模糊关系组被认为是影响预测准确性的关键因素。因此,本研究引入了基于图聚类技术的 FTS 预测模型。在模糊化阶段使用的聚类算法可以推导出不相等的区间长度。所提出的模型被用于预测两个数值数据集:阿拉巴马大学的入学数据和越南 RON95 天然气价格数据集。在阿拉巴马大学的入学率预测中,对所提出的模型和其他模型的预测结果进行了比较。研究结果表明,与同类模型相比,所提出的模型在所有阶次的模糊关系中都达到了更高的预测精度。
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