학술논문
On Neutrosophic D-Topological Spaces
Document Type
Academic Journal
Source
International Journal of Neutrosophic Science. October 2023, Vol. 22 Issue 3, p8, 7 p.
Subject
Language
English
ISSN
2692-6148
Abstract
1. Introduction In 1965, Zadeh [1] introduced ' fuzzy set theory ' as a mathematical tool for dealing with uncertainties where each element had a degree of membership. Later in [...]
In this paper, we redefine the dense neutrosophic set operations and, by using them, we introduce new definition for D--topological space in neutrosophic topological space and also gives the basic specifications for the new definitions of neutrosophic D--topological space in neutrosophic topological space, we also obtained some properties that show the relationship between neutrosophic D--topological space and neutrosophic semi-open sets in the neutrosophic topological space, we also studied image characterization and preimages of neutrosophic D topological space. Keywords: Neutrosophic dense set; neutrosophic semi-open; neutrosophic D -topological space; neutrosophic semicontinuous (irresolute) function.
In this paper, we redefine the dense neutrosophic set operations and, by using them, we introduce new definition for D--topological space in neutrosophic topological space and also gives the basic specifications for the new definitions of neutrosophic D--topological space in neutrosophic topological space, we also obtained some properties that show the relationship between neutrosophic D--topological space and neutrosophic semi-open sets in the neutrosophic topological space, we also studied image characterization and preimages of neutrosophic D topological space. Keywords: Neutrosophic dense set; neutrosophic semi-open; neutrosophic D -topological space; neutrosophic semicontinuous (irresolute) function.