Neutrosophic Algebraic Mathematical Morphology

Authors

  • A. A. Salama Department of Mathematics and Computer Science, Faculty of Sciences, Port Said University, Egypt
  • Hewayda ElGhawalby Physics and Engineering Mathematics Department, Faculty of Engineering, Port Said University, Egypt
  • Huda E. Khalid Telafer University, The Administration Assistant for the President of the Telafer University, Iraq
  • Ahmed K. Essa Telafer University, Statistics Division, Telafer, Mosul, Iraq
  • Ahmed A. Mohammed Telafer University, Manager of Construction and Projects Department, Telafer, Iraq

Keywords:

Neutrosophic Fuzzy Se, Neutrosophic Crisp Sets, Mathematical Morphology, Neutrosophic Fuzzy Mathematical Morphology, Neutrosophic Crisp Mathematical Morphology, Neutro-Morphological Operators

Abstract

In this paper, we introduce and study the NeutroAlgebra structure and many of operations and
properties of the mathematical morphology. This is a generalization of the operations of fuzzy and
classical mathematical morphology. An explanation of the new given operations is provided through
several examples and experimental results. Since mathematical morphology deals with forms and
is used in image processing, we consider in this research the Indeterminate Image (i.e. image with
missing, unclear, or overlapping pixels), whose basic morphological operator’s dilation, erosion,
opening and closing transform an indeterminate image into another indeterminate image. Therefore,
in fact, we deal with neutro-dilation, neutro-erosion, neutro-opening and neutro-closing. For a
determinate image (i.e. image with no indeterminacy), the classical morphological operators
transform it also into a determinate image, while the neutro-morphological operators into an
indeterminate image. All work from below is available for both the indeterminate and determinate
image.

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Published

2023-12-15

Issue

Vol. 61 (2023): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Copyright (c) 2023 Neutrosophic Sets and Systems

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

A. A. Salama, Hewayda ElGhawalby, Huda E. Khalid, Ahmed K. Essa, & Ahmed A. Mohammed. (2023). Neutrosophic Algebraic Mathematical Morphology . Neutrosophic Sets and Systems, 61, 426-464. https://fs.unm.edu/nss8/index.php/111/article/view/3808

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