Analysing some R-Implications and its application in fuzzy mathematical morphology

The fuzzy mathematical morphology extends the binary morphological operators to gray-scale and coloured images using concepts of fuzzy logic. To define the morphological operators of fuzzy erosion and dilatation it is used the implications and conjunctions respectively. This work presents an analysi...

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Bibliographic Details
Published in:Journal of intelligent & fuzzy systems 2014, Vol.27 (1), p.201-209
Main Authors: Andrade, Alexsandra Oliveira, Trindade, Roque Mendes Prado, Maia, Deise Santana, Santiago, Regivan Hugo Nunes, Guerreiro, Ana Maria Guimarães
Format: Article
Language:English
Subjects:
Erosion
Fuzzy
Fuzzy logic
Fuzzy set theory
Fuzzy systems
Mathematical morphology
Matlab
Operators
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Summary:The fuzzy mathematical morphology extends the binary morphological operators to gray-scale and coloured images using concepts of fuzzy logic. To define the morphological operators of fuzzy erosion and dilatation it is used the implications and conjunctions respectively. This work presents an analysis of some R-implications to verify if the pairs of implications and T-norms (conjunctions) were adjunctions. It was used a fuzzy application developed in the Matlab for implementation and tests with the respectively results.
ISSN:1064-1246
DOI:10.3233/IFS-130989