Toward the Use of Fuzzy Relations in the Definition of Mathematical Morphology Operators

Nicolás Madrid, Jesús Medina, Manuel Ojeda-Aciego, Irina Perfilieva
2016 Journal of Fuzzy Set Valued Analysis  
In this paper we present a definition of erosions and dilations in terms of fuzzy relations and adjoint triples. We firstly show that we can represent any algebraic erosion and dilation in such a terms and secondly, we present a set of approaches that can be covered by our definition of relational erosions and dilations.
doi:10.5899/2016/jfsva-00270 fatcat:e3m7tes6mvdkzjxb3h4pxarf4a