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Classification of brain tissues assists for detecting brain tumors and for quantifying the cerebral atrophy. Almost of conventional methods assign the same class to voxels that have same MR signal independent of their locations. So, their methods are unsuitable for MR images with intensity nonuniformity (INU) artifact. This article proposes an automated method that locally classifies the brain tissues by adapting a fuzzy model that represents transit of MR signals on a line that draws from the gray matter to the white matter. Also, this article evaluates and discusses the proposed method and compares with the conventional method.