Year: 2025
Type: article
Abstract: This paper introduces new single-valued neutrosophic closure operators based on single-valued neutrosophic primals, laying the foundation for single-valued neutrosophic primal topologies. This framework establishes a novel class of topological spaces, termed single-valued neutrosophic primal topological spaces. Within this context, classical topological concepts are redefined to align with the properties of single-valued neutrosophic primal set-topologies. The study explores the basic structure of these topologies, including the construction of bases, and examines relationships between various single-valued neutrosophic primal and single-valued neutrosophic topologies. A significant contribution of this work is the introduction of single-valued neutrosophic primal continuous functions, supported by counterexamples to illustrate their implications and nuances.
Source: Contemporary Mathematics
Author: Fahad Alsharari
Institution: Jouf University
Language: English
Topic: Fuzzy and Soft Set Theory
Field: Decision Sciences
Domain: Social Sciences
Open Access status: diamond
OpenAlex ID: W4409946353