arXiv:2506.03588cs.LGcs.AI2025-06被引 3

用证据理论提升模糊分类系统的决策可靠性

A Class Inference Scheme With Dempster-Shafer Theory for Learning Fuzzy-Classifier Systems

  • 基于证据理论计算每个类及不确定状态的信任度
  • 在30个真实数据集上测试宏F1得分显著提升
  • 支持不确定性判断,增强模型可解释性

决策过程显著影响机器学习模型的预测结果,尤其在基于规则的模糊分类系统(LFCS)中,规则的选择与应用直接决定预测的准确性和可靠性。LFCS结合进化算法与监督学习优化模糊分类规则,具备更好的可解释性与鲁棒性。然而,关于改进其决策机制(即类别推理方案)的研究仍有限。现有方法多采用投票或单胜者方案,依赖训练数据表现,可能在未见数据上过拟合。为此,本文提出一种基于达摩斯-谢弗证据理论(DS theory)的新类别推理方案。该方案通过各模糊规则计算特定类别的信任质量(即信念度)以及“我不知道”状态,进而综合推断类别。相比传统方法,新方案引入“不确定”状态,提升透明度与可靠性。在模糊UCS(Fuzzy-UCS)中的实验表明,该方案在30个真实世界数据集上的测试宏F1得分均显著优于传统投票与单胜者方案,形成更平滑的决策边界,提供可靠的置信度度量,增强模型在实际应用中的鲁棒性与泛化能力。代码已开源:https://github.com/YNU-NakataLab/jUCS。

原文摘要 · Abstract (English)

The decision-making process significantly influences the predictions of machine learning models. This is especially important in rule-based systems such as Learning Fuzzy-Classifier Systems (LFCSs) where the selection and application of rules directly determine prediction accuracy and reliability. LFCSs combine evolutionary algorithms with supervised learning to optimize fuzzy classification rules, offering enhanced interpretability and robustness. Despite these advantages, research on improving decision-making mechanisms (i.e., class inference schemes) in LFCSs remains limited. Most LFCSs use voting-based or single-winner-based inference schemes. These schemes rely on classification performance on training data and may not perform well on unseen data, risking overfitting. To address these limitations, this article introduces a novel class inference scheme for LFCSs based on the Dempster-Shafer Theory of Evidence (DS theory). The proposed scheme handles uncertainty well. By using the DS theory, the scheme calculates belief masses (i.e., measures of belief) for each specific class and the ``I don't know'' state from each fuzzy rule and infers a class from these belief masses. Unlike the conventional schemes, the proposed scheme also considers the ``I don't know'' state that reflects uncertainty, thereby improving the transparency and reliability of LFCSs. Applied to a variant of LFCS (i.e., Fuzzy-UCS), the proposed scheme demonstrates statistically significant improvements in terms of test macro F1 scores across 30 real-world datasets compared to conventional voting-based and single-winner-based fuzzy inference schemes. It forms smoother decision boundaries, provides reliable confidence measures, and enhances the robustness and generalizability of LFCSs in real-world applications. Our implementation is available at https://github.com/YNU-NakataLab/jUCS.

模糊系统证据理论决策可靠性

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