q-Rung Neutrosophic Sets and Topological Spaces

Authors

Michael Gr. Voskoglou, School of Engineering, University of Peloponnese (ex Graduate TEI of Western Greece), 26334 Patras, GreeceFollow
Florentin Smarandache, University of New Mexico, 705 Gurley Ave, Gallup, NM 87301, USAFollow
Mona Mohamed, Higher Technological Institute, 10th of Ramadan City 44629, EgyptFollow

ORCID

Michael Gr. Voskoglou: 0000-0002-4727-0089

Florentin Smarandache: 0000-0002-5560-5926

Mona Mohamed: 0000-0002-8212-1572

Article Type

Research Article

Abstract

The concept of the q-rung orthopair neutrosophic set is introduced in this paper, and fundamental properties of it are studied. Also, the ordinary notion of topological space is extended to the q-rung orthopair neutrosophic environment, as well as the fundamental concepts of convergence, continuity, compactness, and Hausdorff topological space. All these generalizations are illustrated by suitable examples.

Keywords

Fuzzy Set, Intuitionistic Fuzzy Set, Neutrosophic Set, q-Rung Orthopair Fuzzy Set, q-Rung Orthopair Neutrosophic Set, q-Rung Orthopair Neutrosophic Topological Space

How to Cite

Voskoglou, Michael Gr.; Smarandache, Florentin; and Mohamed, Mona (2024) "q-Rung Neutrosophic Sets and Topological Spaces," Neutrosophic Systems with Applications: Vol. 15: Iss. 1, Article 5. DOI: https://doi.org/10.61356/j.nswa.2024.1515356

Creative Commons License

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