Active Anti-Noise Fuzzy Dominance Rough Feature Selection Using Adaptive K-Nearest Neighbors

Feature selection methods with anti-noise performance are effective dimensionality reduction methods for classification tasks with noise. However, there are few studies on robust feature selection methods for monotonic classification tasks. The fuzzy dominance rough set (FDRS) model is a nontrivial knowledge acquisition tool, which is widely used in feature selection of monotonic classification tasks. Nonetheless, this model has been proved in practice to be generally poorly fault-tolerance, and only one noisy sample can cause huge interference in acquiring knowledge. In view of these two issues, this paper firstly designs an adaptive $K$ -nearest neighbors strategy to calculate the density of samples. The noisy samples are identified according to their densities, and then an active anti-noise fuzzy dominance rough set model is proposed. Then, in the active anti-noise fuzzy dominance rough approximation space, the class-separability is evaluated by the approximation operators of the proposed model, and the feature-redundancy is evaluated by the fuzzy ranking conditional mutual information. On this basis, a feature evaluation index is designed comprehensively considering class-separability and feature-redundancy. Finally, a feature selection algorithm is designed to select the feature subset with the highest classification performance. The experimental results show that the proposed algorithm has better robustness and classification performance.