Exploring Neutrosophic Over Supra Exterior Modal Topological Structure: Theory and Application in Healthcare Decision-Making

Abstract

Neutrosophic environments have gained significant relevance across diverse disciplines. Neutrosophic
Over Supra Exterior Modal Topological Structure is introduced, demonstrating the generation of two
distinct structures through traditional Neutrosophic Over supra topological operations, denoted as ⊞ (closure)
and ⊡ (interior), along with novel Neutrosophic Over Supra Exterior Modal Operations, expressed as (modal
closure) and ⊙ (modal interior). This exploration delves into the essential properties and characteristics of
these structures, illuminating their behavior and implications. To illustrate the practical relevance, a numerical
example is presented, demonstrating the identification of disease types using a score function. The study
conclusively shows that the Neutrosophic Over Supra Exterior Modal Topological Structure effectively classifies
diseases such as tuberculosis (bacterial), malaria (parasitic), swine flu (viral), and ringworm (fungal). This dual
approach ensures a holistic understanding of the topic, appealing to both theoretical and practitioners seeking
practical solutions in the neutrosophic over environment.

DOI: 10.5281/zenodo.13564024