q-Rung Neutrosophic Sets and Topological Spaces

Authors

Michael Gr. Voskoglou
Florentin Smarandache, University of New MexicoFollow
Mona Mohamed

Document Type

Article

Publication Date

2024

Abstract

The concept of 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 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.

Publication Title

Neutrosophic Systems with Applications

First Page

58

Last Page

66

Keywords

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

Recommended Citation

Voskoglou, Michael Gr.; Florentin Smarandache; and Mona Mohamed. "q-Rung Neutrosophic Sets and Topological Spaces." Neutrosophic Systems with Applications (2024): 58-66. https://digitalrepository.unm.edu/math_fsp/722

Creative Commons License

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