YANG Xinyi, MA Jianmin , MA Yupo
Accepted: 2026-05-21
In multi-label fuzzy data, feature redundancy, complex interaction relationships between features, and unequal feature contributions are commonly present, which affect the classification performance of multi-label learning. To address these issues, ReliefF-β algorithm is proposed to assign feature weights, and a multi-label feature selection method based on feature weighted interaction is presented. Firstly, feature similarity and label similarity are constructed for multi-label fuzzy data. A regulating parameter β is introduced to fuse the two similarities and construct a global sample similarity, then ReliefF-β algorithm is proposed for feature weighting. On this basis, multi-label weighted fuzzy rough set is introduced based on feature weights, and uncertainty measures such as weighted fuzzy entropy and weighted fuzzy mutual information are defined. The related properties and relationships among these measures are studied. Furthermore, a feature weighted evaluation function is defined by considering feature relevance, redundancy, and interaction, then a multi-label feature selection algorithm based on feature weighted interaction is proposed. Finally, comparative experiments are conducted under two classifiers. The results show that, compared with other comparison algorithms, under ML-KNN, the proposed method improves Average Precision (AP) by 8.79% on average, while Hamming Loss (HL), Ranking Loss (RL), Coverage (CV), and One-Error (OE) are reduced by 5.06%, 15.33%, 10.97% and 23.06%, respectively. Under BRDT, AP is improved by 4.06%, and HL, RL, CV, and OE are reduced by 8.60%, 10.28%, 7.19% and 5.89%, respectively. Ablation studies and statistical tests further verify the effectiveness of the proposed method.