An Introduction to Single-Valued Neutrosophic Primal Theory

Authors

Fahad Alsharari
Hanan Alohali
Yaser Saber
Florentin Smarandache, University of New MexicoFollow

Document Type

Article

Publication Date

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.

Publication Title

Symmetry

Volume

6

DOI

https://doi.org/10.3390/sym16040402

Language (ISO)

English

Keywords

single-valued neutrosophic primal, single-valued neutrosophic primal topology, single-valued neutrosophic open compatibility

Recommended Citation

Alsharari, Fahad; Hanan Alohali; Yaser Saber; and Florentin Smarandache. "An Introduction to Single-Valued Neutrosophic Primal Theory." Symmetry , (2024). doi:https://doi.org/10.3390/sym16040402.

Creative Commons License

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