We establish in this paper the link between the two main approaches for fuzzy mathematical morphology, based on duality with respect to complementation and on the adjunction property, respectively. We also prove that the corresponding definitions of fuzzy dilation and erosion are the most general ones if a set of classical properties is required.
['Isabelle Bloch']
Duality vs. adjunction for fuzzy mathematical morphology and general form of fuzzy erosions and dilations