The e-Open Sets in Neutrosophic Hypersoft Topological Spaces and Application in Covid-19 Diagnosis using Normalized Hamming Distance

S. Aranganayagi (Department of Mathematics, Government Arts College, Dharmapuri, Tamil Nadu-636 705)
M. Saraswathi (Department of Mathematics, Kandaswami Kandar's College P-velur, Tamil Nadu-638 182)
K. Chitirakala (Department of Mathematics, M.Kumarasamy College of Engineering, Karur - 639 113)
A. Vadivel (Department of Mathematics, Annamalai University, Annamalai Nagar - 608 002)

Journal of the Indonesian Mathematical Society
VOLUME 29 NUMBER 2 (JULY 2023)

In this paper, we introduce a neutrosophic hypersoft e-open set which is the union of neutrosophic hypersoft δ-pre open sets and neutrosophic hypersoft δ-semi open sets in neutrosophic hypersoft topological spaces. Also, we discuss about the relations between neutrosophic hypersoft δ-pre open sets, neutrosophic hypersoft δ-semi open sets, neutrosophic hypersoft e-open sets and neutrosophic hypersoft e∗-open sets and their properties with the examples. Moreover, we investigate some of the basic properties of neutrosophic hypersoft e-interior and e-closure in a neutrosophic hypersoft topological space and proposed some examples for important results. Added to that, an application in Covid-19 diagnosis using normalized Hamming distance via neutrosophic hypersoft sets is discussed.