动态调整规则与特征权重,让模糊系统在高维数据中更准更透明。
A Dynamic Fuzzy Rule and Attribute Management Framework for Fuzzy Inference Systems in High-Dimensional Data
- 双权重机制:自动调节规则和特征的重要程度。
- 9条规则下,北京PM2.5数据RMSE低至56.87,优于传统模型。
- 适合需要可解释性的高维预测场景,如环境监测、能源管理。
本文提出自适应动态属性与规则(ADAR)框架,应对神经模糊系统在高维数据中的挑战。通过集成属性与规则的双重自适应加权机制,结合自动生长与剪枝策略,ADAR在不牺牲性能与可解释性的前提下,动态简化复杂模糊模型。在四个不同数据集上的实验表明,基于ADAR的模型均显著降低均方根误差(RMSE)。以北京PM2.5数据为例,ADAR-SOFENN在9条规则下取得56.87的RMSE,优于传统ANFIS和SOFENN模型。在高维家电能耗数据上,ADAR-ANFIS以9条规则实现83.25的RMSE,超越经典模糊方法与注重可解释性的APLR。消融实验显示,规则级与属性级权重联合使用显著减少模型重叠,保留关键特征,提升可解释性。结果证明ADAR能有效平衡规则复杂度与特征重要性,为可扩展、高精度且透明的神经模糊系统提供新路径,适用于多种真实场景。
原文摘要 · Abstract (English)
This paper presents an Adaptive Dynamic Attribute and Rule (ADAR) framework designed to address the challenges posed by high-dimensional data in neuro-fuzzy inference systems. By integrating dual weighting mechanisms-assigning adaptive importance to both attributes and rules-together with automated growth and pruning strategies, ADAR adaptively streamlines complex fuzzy models without sacrificing performance or interpretability. Experimental evaluations on four diverse datasets - Auto MPG (7 variables), Beijing PM2.5 (10 variables), Boston Housing (13 variables), and Appliances Energy Consumption (27 variables) show that ADAR-based models achieve consistently lower Root Mean Square Error (RMSE) compared to state-of-the-art baselines. On the Beijing PM2.5 dataset, for instance, ADAR-SOFENN attained an RMSE of 56.87 with nine rules, surpassing traditional ANFIS [12] and SOFENN [16] models. Similarly, on the high-dimensional Appliances Energy dataset, ADAR-ANFIS reached an RMSE of 83.25 with nine rules, outperforming established fuzzy logic approaches and interpretability-focused methods such as APLR. Ablation studies further reveal that combining rule-level and attribute-level weight assignment significantly reduces model overlap while preserving essential features, thereby enhancing explainability. These results highlight ADAR's effectiveness in dynamically balancing rule complexity and feature importance, paving the way for scalable, high-accuracy, and transparent neuro-fuzzy systems applicable to a range of real-world scenarios.
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