Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Article
Publication Date
2024
Abstract
In this paper, we defined the basic idea of the single-valued neutrosophic upper, single-valued neutrosophic lower and single-valued neutrosophic boundary sets of a rough single-valued neutrosophic set in a single-valued neutrosophic approximation space. We joined the single-valued neutrosophic ideal notion with the single-valued neutrosophic approximation spaces and then introduced the single-valued neutrosophic ideal approximation closure and interior operators associated with a rough single-valued neutrosophic set, single-valued neutrosophic ideal approximation connectedness and the single-valued neutrosophic ideal approximation continuity between single-valued neutrosophic ideal approximation spaces are introduced. The concepts of single-valued neutrosophic groups and their approximations have also been applied in the development of fuzzy systems, enhancing their ability to model and reason using uncertain and imprecise information.
Publication Title
International Journal of Analysis and Applications
Volume
22
First Page
26
Last Page
42
DOI
https://doi.org/10.28924/2291-8639-22-2024-26
Language (ISO)
English
Keywords
single-valued neutrosophic boundary set, rough single-valued neutrosophic set, single-valued neutrosophic approximation space
Recommended Citation
Saber, Yaser; Mohamed Abusalih; Esam Bader; Tawfik Elmasry; Abdelaziz Babiker; and Florentin Smarandache.
"Single-Valued Neutrosophic Ideal Approximation Spaces."
International Journal of Analysis and Applications
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
