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Image segmentation is the basis of image analysis, recognition and understanding. Image segmentation, partitioning an image into different regions with some specific properties, has always been an important and challenging problem for many years. Thresholding is an important form of image segmentation and is used in the processing of image for many applications.This paper presents a thresholding approach by performing fuzzy partition on a two-dimensional (2-D) histogram based on fuzzy relation and maximum fuzzy entropy principle. The experiments with various gray level and color images have demonstrated that the proposed approach outperforms the 2-D nonfuzzy approach and the one-dimensional(1-D) fuzzy partition approach.