On Neutrosophic Crisp Sets and Neutrosophic Crisp Mathematical Morphology

Authors

  • Xiaohong Zhang Shaanxi University of Science and Technology
  • Mengyuan Li Shaanxi University of Science and Technology
  • Tao Lei Shaanxi University of Science and Technology

Keywords:

Fuzzy Set; Neutrosophic Set; Neutrosophic Crisp Set; Mathematical Morphology; Neutrosophic Crisp Mathematical Morphology

Abstract

In this paper, we analyze the basic algebraic operations of neutrosophic crisp sets and
their properties, show that some operations of neutrosophic crisp sets with type 2 and type 3 are
not closed by counter examples, and give some new operations. Then, discuss some morphological
operators in neutrosophic crisp mathematical morphology, and study the application to edge
extraction of color images, and give some Python programs and related experimental results.

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Published

2021-07-09

Issue

Vol. 43 (2021): Neutrosophic Sets and Systems

Section

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

License

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

Zhang, X., Li , M. ., & Lei , T. . (2021). On Neutrosophic Crisp Sets and Neutrosophic Crisp Mathematical Morphology. Neutrosophic Sets and Systems, 43, 1-11. https://fs.unm.edu/nss8/index.php/111/article/view/1456