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An Introduction to Single-Valued Neutrosophic Primal Theory.

Authors :
Alsharari, Fahad
Alohali, Hanan
Saber, Yaser
Smarandache, Florentin
Source :
Symmetry (20738994). Apr2024, Vol. 16 Issue 4, p402. 21p.
Publication Year :
2024

Abstract

This article explores the interconnections among the single-valued neutrosophic grill, single-valued neutrosophic primal and their stratification, uncovering their fundamental characteristics and correlated findings. By introducing the notion of a single-valued neutrosophic primal, a broader framework including the fuzzy primal and intuitionistic fuzzy primal is established. Additionally, the concept of a single-valued neutrosophic open local function for a single-valued neutrosophic topological space is presented. We introduce an operator based on a single-valued neutrosophic primal, illustrating that the single-valued neutrosophic primal topology is finer than the single-valued neutrosophic topology. Lastly, the concept of single-valued neutrosophic open compatibility between the single-valued neutrosophic primal and single-valued neutrosophic topologies is introduced, along with the establishment of several equivalent conditions related to this notion. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*TOPOLOGICAL spaces
*TOPOLOGY

Details

Language :
English
ISSN :
20738994
Volume :
16
Issue :
4
Database :
Academic Search Index
Journal :
Symmetry (20738994)
Publication Type :
Academic Journal
Accession number :
176905294
Full Text :
https://doi.org/10.3390/sym16040402