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Melanoma skin cancer is the most life‐threatening and fatal disease among the family of skin cancer diseases. Modern technological developments and research methodologies made it possible to detect and identify this kind of skin cancer more effectively; however, the automated localization and segmentation of skin lesion at earlier stages is still a challenging task due to the low contrast between melanoma moles and skin portion and a higher level of color similarity between melanoma‐affected and ‐nonaffected areas. In this paper, we present a fully automated method for segmenting the skin melanoma at its earliest stage by employing a deep‐learning‐based approach, namely faster region‐based convolutional neural networks (RCNN) along with fuzzy k‐means clustering (FKM). Several clinical images are utilized to test the presented method so that it may help the dermatologist in diagnosing this life‐threatening disease at its earliest stage. The presented method first preprocesses the dataset images to remove the noise and illumination problems and enhance the visual information before applying the faster‐RCNN to obtain the feature vector of fixed length. After that, FKM has been employed to segment the melanoma‐affected portion of skin with variable size and boundaries. The performance of the presented method is evaluated on the three standard datasets, namely ISBI‐2016, ISIC‐2017, and PH2, and the results show that the presented method outperforms the state‐of‐the‐art approaches. The presented method attains an average accuracy of 95.40, 93.1, and 95.6% on the ISIC‐2016, ISIC‐2017, and PH2 datasets, respectively, which is showing its robustness to skin lesion recognition and segmentation. [ABSTRACT FROM AUTHOR]