Intuitionistic Fuzzy Laplacian Twin Support Vector Machine for Semi-supervised Classification

Intuitionistic Fuzzy Laplacian Twin Support Vector Machine for Semi-supervised Classification

Zhou, Jia Bin (Shanghai University)
Bai, Yan Qin (Shanghai University)
Guo, Y. (Shanghai University)
Lin, H.X. (TU Delft Mathematical Physics; TU Delft Delft Institute of Applied Mathematics)

2021

In general, data contain noises which come from faulty instruments, flawed measurements or faulty communication. Learning with data in the context of classification or regression is inevitably affected by noises in the data. In order to remove or greatly reduce the impact of noises, we introduce the ideas of fuzzy membership functions and the Laplacian twin support vector machine (Lap-TSVM). A formulation of the linear intuitionistic fuzzy Laplacian twin support vector machine (IFLap-TSVM) is presented. Moreover, we extend the linear IFLap-TSVM to the nonlinear case by kernel function. The proposed IFLap-TSVM resolves the negative impact of noises and outliers by using fuzzy membership functions and is a more accurate reasonable classifier by using the geometric distribution information of labeled data and unlabeled data based on manifold regularization. Experiments with constructed artificial datasets, several UCI benchmark datasets and MNIST dataset show that the IFLap-TSVM has better classification accuracy than other state-of-the-art twin support vector machine (TSVM), intuitionistic fuzzy twin support vector machine (IFTSVM) and Lap-TSVM.

Intuitionistic fuzzy
Manifold regularization
Noisy data
Semi-supervised classification
Twin support vector machine

http://resolver.tudelft.nl/uuid:55734d44-fc9f-4e7c-8e26-ebae8b4d3fcd

https://doi.org/10.1007/s40305-021-00354-9

2194-668X

Journal of the Operations Research Society of China, 10 (1), 89-112

Institutional Repository

journal article

© 2021 Jia Bin Zhou, Yan Qin Bai, Y. Guo, H.X. Lin