6533b81ffe1ef96bd1277a6f

RESEARCH PRODUCT

Fuzzy Relational Mathematical Morphology: Erosion and Dilation

Patrik EklundIngrida UljaneAlexander P. Sostak

subject

AlgebraFuzzy mathematical morphologyComputer scienceQuantaleDilation (morphology)Mathematical morphologyAdjunctionFuzzy logic

description

In the recent years, the subject if fuzzy mathematical morphology entered the field of interest of many researchers. In our recent paper [23], we have developed the basis of the (unstructured) L-fuzzy relation mathematical morphology where L is a quantale. In this paper we extend it to the structured case. We introduce structured L-fuzzy relational erosion and dilation operators, study their basic properties, show that under some conditions these operators are dual and form an adjunction pair. Basing on the topological interpretation of these operators, we introduce the category of L-fuzzy relational morphological spaces and their continuous transformations.

yearjournalcountryeditionlanguage
2020-01-01
https://doi.org/10.1007/978-3-030-50153-2_52