Image segmentation plays an important role in many fields such as computer vision, pattern recognition, machine learning and so on. In recent years, many variants of standard fuzzyc-means (FcM) algorithm have been pr...
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Image segmentation plays an important role in many fields such as computer vision, pattern recognition, machine learning and so on. In recent years, many variants of standard fuzzyc-means (FcM) algorithm have been proposed to explore how to remove noise and reduce uncertainty. In fact, there are uncertainty on the boundary between different patches in images. considering that hesitantfuzzy set is a useful tool to deal with uncertainty, in this paper, we merge hesitantfuzzy set with fuzzyc-meansalgorithm, introduce a new kind of method of fuzzification and defuzzification of image and the distance measure between hesitantfuzzy elements of pixels, present a method to establish hesitant membership degree of hesitantfuzzy element, and propose hesitantfuzzyc-means (HFcM) algorithm. Finally, we compare our proposed HFcM algorithm with some existing fuzzyc-means (FcM) algorithms, and apply HFcM algorithm in natural image, BSDS dataset image, different size images and multi-attribute decision making. These numerical examples illustrate the validity and applicability of our proposed algorithm including its comprehensive performance, reducing running time and almost without loss of accuracy.
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