Duality vs. adjunction for fuzzy mathematical morphology and general form of fuzzy erosions and dilations

نویسنده

  • Isabelle Bloch
چکیده

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. © 2009 Elsevier B.V. All rights reserved.

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عنوان ژورنال:
  • Fuzzy Sets and Systems

دوره 160  شماره 

صفحات  -

تاریخ انتشار 2009