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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 (Nos-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 (Nos-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.

The pandemic situation created by COVID’19 is ridiculous. It has made even the blood relations hide themselves from the infected person. The whole world was stunned by this situation. This is because of the uncertainty in the way in which this disease is spread. As an advancement of this disease, a few other variants like delta, omicron etc. also got spread. It is essential to find a solution to this situation . The variants Omicron and Delta are taken into consideration here. Though both the vibrant colours look alike, the symptoms and prevention methods changes for each of these vibrants. This work aims to make a study of the parameters responsible for these variants. As a result of this study, the parameters involved in the spread of these diseases are identified, and the prevention parameters are concluded. The major benefit of this comparatively study is to identify the parameters that are inconclusive, applying the concepts of fuzzy cognitive maps and neutrosophic cognitive maps is applied to bring out the result.