The intuitionistic fuzzy twin support vector machine for multi-categorization is developed in this study, which incorporates both structural and empirical risk concepts. In this method, each training pattern is first aggregated with the appropriate membership and non-membership degrees, which describe the position of a pattern in relation to its class centre and surrounding circumstances in input or feature space, and then the separating hyperplane is constructed using the kernel function and convex quadratic programming. Empirical findings on an artificial and thirteen UCI standard datasets show that it outperforms well-known existing methods including improved support vector machines, K-nearest neighbour, logistic regression, decision trees, random forests, and multilayer perceptrons. Furthermore, the suggested classifier with linear, polynomial, and Gaussian kernels has been used to identify the leaves of various plants, where the shape, texture, and margin data are extracted from the leaf in order to categorize the plant species. The method’s generalization capacity is demonstrated by the classification results on two leaf datasets of thirty and one hundred species, respectively. To compare the suggested method’s prediction capacity with others, statistical analysis is performed using two non-parametric tests, Friedman and Wilcoxon, with a 5% threshold of significance. The results show that the proposed method yields better performance for both linear and non-linear kernels.