Decision Making By Neutrosophic Over Soft Topological Space

Abstract

The empirical correlation system serves as a crucial tool for unveiling the linear interconnections
 between two variables. Its significance lies in providing a prominent approach to depict a straightforward
 relationship without explicitly indicating a causal link between the sets involved. In the current research,
 an innovative concept of correlations is introduced specifically for Neutrosophic Over Soft Sets (No
 s-sets).
 This novel framework involves a meticulous examination of basic definitions and operations associated with
 Neutrosophic Over Soft Sets. Furthermore, the study extends to the introduction of a groundbreaking concept:
 a topological space integrated with Neutrosophic Over Soft Sets (No
 s-sets). This addition aims to broaden
 the scope of understanding and application in mathematical contexts.The research does not merely establish
 theoretical foundations; it also explores various properties and theorems related to the introduced concepts. This
 is complemented by a series of numerical examples designed to provide clarity and facilitate a comprehensive
 grasp of the material. To demonstrate the practical application of these concepts, the research utilizes the
 correlation framework to present a numerical illustration. Specifically, it is applied to determine the top
performing student at GFC School for the academic year 2022-2023, showcasing the real-world relevance and
 applicability of the proposed methodologies

DOI: 10.5281/zenodo.10905884