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

A Note on Two-Fold Neutrosophic and Fuzzy Topological Space Based on Real Numbers.

Al-Maita, Rabaa