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

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.