Fuzzy Relational Mathematical Morphology: Erosion and Dilation

Autor:	Patrik Eklund, Ingrida Uljane, Alexander P. Sostak
Rok vydání:	2020
Předmět:	Algebra Fuzzy mathematical morphology Computer science Quantale Dilation (morphology) Mathematical morphology Adjunction Fuzzy logic
Zdroj:	Information Processing and Management of Uncertainty in Knowledge-Based Systems ISBN: 9783030501525 IPMU (3)
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::bd500ac086c133c7bff909f47d1f58b2 https://doi.org/10.1007/978-3-030-50153-2_52 Zobrazit plný text záznamu