arXiv:2607.20277cs.LG2026-07

让模糊回归模型更透明,同时保持高精度。

Interpretable Fuzzy Rule-Based Regression Extension for Ex-Fuzzy Library

论文配图:Interpretable Fuzzy Rule-Based Regression Extension for Ex-Fuzzy Library
图 1 · 摘自论文原文
  • 用聚类方法自动生成与输出相关的模糊规则
  • 平均决定系数达0.86,规则仅10-15条且易读
  • 适合需要解释性的工业或医疗预测场景

机器学习在回归任务中表现优异,但在安全关键和受监管领域部署时需具备可解释性。尽管模糊规则系统能提供透明、语言可读的模型,但基于Mamdani风格的模糊回归在现代机器学习库中仍较匮乏。本文为Ex-Fuzzy库开发了一种可解释回归扩展,支持从数据直接学习标量结论的Mamdani模糊推理。提出一种基于模糊C均值聚类的目标感知分区初始化策略,从增强的输入-输出空间提取语言变量,聚焦对输出重要的特征区域。在KEEL数据集上的十项实验表明,高斯分区策略持续优于均匀梯形分区,平均决定系数约为0.86,同时生成10-15条紧凑的人类可读规则。该实现提供了透明且性能竞争的黑箱模型替代方案,兼具实用可解释性与良好预测能力。

原文摘要 · Abstract (English)

Machine learning models achieve high predictive accuracy in regression tasks, but their deployment in safety-critical and regulated domains requires interpretability. While fuzzy rule-based systems offer transparent, linguistically explicit interpretable models, Mamdani-style fuzzy regression remains underrepresented in modern machine learning software libraries. This paper presents an interpretable regression extension for the Ex-Fuzzy library, enabling Mamdani fuzzy inference with scalar consequents learned directly from data. For this, a target-aware partition initialisation strategy based on Fuzzy C-Means clustering is introduced, in which linguistic variables are derived from an augmented input-output space to emphasise output-relevant regions of the feature space. The proposed extension is evaluated on ten regression datasets from the KEEL repository, comparing Gaussian and trapezoidal partition strategies against standard baselines including linear regression, multilayer perceptron, and random forests. Experimental results show that Gaussian partitions consistently outperform uniform trapezoidal partitions, achieving a mean coefficient of determination of approximately 0.86 while producing compact rule bases of 10-15 human-readable rules. The proposed implementation provides a transparent and competitive alternative to black-box regression models, supporting practical interpretability with competitive predictive performance.

模糊系统可解释性回归模型

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