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Submitted
August 28, 2022
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May 5, 2023
Published
July 26, 2023
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Abstract

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.

Keywords

neutrosophic hypersoft e-open sets neutrosophic hypersoft e ∗-open sets neutrosophic hypersoft e-interior neutrosophic hypersoft e-closure normalized Hamming distance

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How to Cite
Aranganayagi, S., Saraswathi, M. ., Chitirakala, K., & Vadivel, A. (2023). The e-Open Sets in Neutrosophic Hypersoft Topological Spaces and Application in Covid-19 Diagnosis using Normalized Hamming Distance. Journal of the Indonesian Mathematical Society, 29(2), 177–196. https://doi.org/10.22342/jims.29.2.1271.177-196
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