An important problem that is necessary to face up to in texture characterization is that while the notion of texture is easy to grasp intuitively, it is extremely difficult to quantify. The Texture Spectrum methodology introduced by He and Wang [1990, Texture unit, texture spectrum and texture analysis, IEEE Trans. on Geoscience and Remote Sensing, 28(4) (1990) 509-512] was initially used as a texture filtering approach and has been applied to texture characterization and texture classification showing promising discrimination performance. In this paper we propose a texture characterization approach, based on the Texture Spectrum methodology that, for taking into account the vagueness introduced by noise and the different caption and digitation processes, makes use of fuzzy techniques for defining the Texture Unit Boxes.