Affiliations: Department of Computer Engineering and Automation, UFRN, Natal, RN, Brazil | Department of Exact Science and Technology, UESB, Vitória da Conquista, BA | Department of Computer Science and Applied Mathematics, UFRN, Natal, RN, Brazil | Department of Biomedical Engineering, UFRN, Natal, RN, Brazil
Note: [] Corresponding author. Alexsandra Oliveira Andrade, Department of Computer Engineering and Automation, UFRN, 59072-970, Natal, RN, Brazil. E-mails: alexsandra@uesb.edu.br (Alexsandra Oliveira Andrade); roquetrindade@uesb.edu.br (Roque Mendes Prado Trindade); deisemaia@ibest.com.br (Deise Santana Maia); regiran.santiago@gmail.com (Regivan Hugo Nunes Santiago); amggguerreiro@gmail.com (Ana Maria Guimarães Guerreiro).
Abstract: 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.
