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- Title
A Note on Two-Fold Neutrosophic and Fuzzy Topological Space Based on Real Numbers.
- Authors
Al-Maita, Rabaa
- Abstract
The objective of this paper is to introduce for the first time the concept of two-fold neutrosophic and fuzzy topological space defined over real numbers, where we combine the two-fold neutrosophic sets with real numbers to get a novel topological space based on them. Also, we present many of its elementary properties and special subsets such as two-fold neutrosophic open sets, two-fold neutrosophic closed sets, and two-fold neutrosophic closure. Many examples and theorems will be provided to clarify the validity of our approach.
- Subjects
NEUTROSOPHIC logic; FUZZY systems; REAL numbers; SET theory; MATHEMATICS theorems
- Publication
International Journal of Neutrosophic Science (IJNS), 2025, Vol 25, Issue 1, p418
- ISSN
2692-6148
- Publication type
Academic Journal
- DOI
10.54216/IJNS.250137