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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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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container_title Journal of intelligent & fuzzy systems
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creator Andrade, Alexsandra Oliveira
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Maia, Deise Santana
Santiago, Regivan Hugo Nunes
Guerreiro, Ana Maria Guimarães
description 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.
doi_str_mv 10.3233/IFS-130989
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subjects Erosion
Fuzzy
Fuzzy logic
Fuzzy set theory
Fuzzy systems
Mathematical morphology
Matlab
Operators
title Analysing some R-Implications and its application in fuzzy mathematical morphology
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