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Fuzzy c-means (FCM) algorithm is an unsupervised machine learning algorithm and has been used in many applications. But, FCM does not consider hesitation in the case of imprecise data. The intuitionistic fuzzy c-means (IFCM) algorithm, which is based on intuitionistic fuzzy set theory, has been proposed in the literature to handle the hesitation during clustering. However, the IFCM still does not consider the hesitation properly. To overcome this problem of the IFCM, we proposed a modified intuitionistic fuzzy c-means (mIFCM) algorithm incorporating hesitation degree in this paper. We have generated the triangular dataset and tested the proposed mIFCM algorithm on the triangular dataset and also validated the algorithms on publicly available simulated brain data. The experimental results show that mIFCM performs better in comparison to existing intuitionistic fuzzy clustering algorithms. A nonparametric …