A Multi-Objective Approach to Fuzzy Clustering using ITLBO Algorithm

Data clustering is one of the most important research areas in data mining and knowledge discovery. Recent research works in this area has shown that the best clustering results can be achieved using multi-objective methods. In other words, assuming more than one criterion as objective functions for clustering data can measurably increase the quality of clustering. In this work, a model with two contradictory objective functions based on maximum data compactness in clusters (the degree of proximity of data) and maximum cluster separation (the degree of remoteness of cluster centers) is proposed. In order to solve this model, the multi-objective improved teaching-learning–based optimization (MOITLBO) algorithm is used. This algorithm is tested on several datasets, and its clusters are compared with the results of some single-objective algorithms. Furthermore, with respect to noise, the comparison of the performance of the proposed model with another multi-objective model shows that it is robust to noisy datasets, and thus it can be efficiently used for multi-objective fuzzy clustering.