Fuzzy morphological operators in image processing.

Pedro J. Burillo López; Noé Frago Paños; Ramón Fuentes González

Mathware and Soft Computing (2003)

  • Volume: 10, Issue: 2-3, page 85-100
  • ISSN: 1134-5632

Abstract

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First of all, in this paper we propose a family of fuzzy implication operators, which the generalised Lukasiewicz's one, and to analyse the impacts of Smets and Magrez properties on these operators. The result of this approach will be a characterisation of a proposed family of inclusion grade operators (in Bandler and Kohout's manner) that satisfies the axioms of Divyendu and Dogherty. Second, we propose a method to define fuzzy morphological operators (erosions and dilations). A family of fuzzy implication operators and the inclusion grade are the basis for this method.

How to cite

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Burillo López, Pedro J., Frago Paños, Noé, and Fuentes González, Ramón. "Fuzzy morphological operators in image processing.." Mathware and Soft Computing 10.2-3 (2003): 85-100. <http://eudml.org/doc/39252>.

@article{BurilloLópez2003,
abstract = {First of all, in this paper we propose a family of fuzzy implication operators, which the generalised Lukasiewicz's one, and to analyse the impacts of Smets and Magrez properties on these operators. The result of this approach will be a characterisation of a proposed family of inclusion grade operators (in Bandler and Kohout's manner) that satisfies the axioms of Divyendu and Dogherty. Second, we propose a method to define fuzzy morphological operators (erosions and dilations). A family of fuzzy implication operators and the inclusion grade are the basis for this method.},
author = {Burillo López, Pedro J., Frago Paños, Noé, Fuentes González, Ramón},
journal = {Mathware and Soft Computing},
keywords = {Lógica difusa; Procesamiento de imágenes; Visión artificial; Implication operators; Inclusion grade; erosion and dilation},
language = {eng},
number = {2-3},
pages = {85-100},
title = {Fuzzy morphological operators in image processing.},
url = {http://eudml.org/doc/39252},
volume = {10},
year = {2003},
}

TY - JOUR
AU - Burillo López, Pedro J.
AU - Frago Paños, Noé
AU - Fuentes González, Ramón
TI - Fuzzy morphological operators in image processing.
JO - Mathware and Soft Computing
PY - 2003
VL - 10
IS - 2-3
SP - 85
EP - 100
AB - First of all, in this paper we propose a family of fuzzy implication operators, which the generalised Lukasiewicz's one, and to analyse the impacts of Smets and Magrez properties on these operators. The result of this approach will be a characterisation of a proposed family of inclusion grade operators (in Bandler and Kohout's manner) that satisfies the axioms of Divyendu and Dogherty. Second, we propose a method to define fuzzy morphological operators (erosions and dilations). A family of fuzzy implication operators and the inclusion grade are the basis for this method.
LA - eng
KW - Lógica difusa; Procesamiento de imágenes; Visión artificial; Implication operators; Inclusion grade; erosion and dilation
UR - http://eudml.org/doc/39252
ER -

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