Fuzzy hypersoft contra maps, homeomorphisms, and application in Covid-19 diagnosis using Hamming distance

Abstract

This paper aims to introduce and study fuzzy hypersoft contra open, fuzzy hypersoft contra semi open, fuzzy hypersoft contra closed, and fuzzy hypersoft contra semi closed maps in fuzzy hypersoft topological spaces. Basic properties of fuzzy hypersoft contra open, contra semi open, contra closed and contra semi closed maps are analyzed with examples. Also, the relation between fuzzy hypersoft contra open maps, contra semi open maps, contra closed maps and contra semi closed maps is discussed. It is extended to fuzzy hypersoft contra homeomorphism, contra semi homeomorphism, contra C-homeomorphism and its related characteristics are also investigated. The fuzzy hypersoft set measure Hamming distance can be applied in real-world decision-making problems containing more uncertain and inadequate data. By applying Hamming distance between the Covid-19 patients and the other patients, a better decision can be taken in the Covid-19 diagnosis. This paper proposes a method to diagnose Covid-19 using Hamming distance of fuzzy hypersoft sets. The association between the patients and the symptoms is formulated as fuzzy hypersoft sets in which the Hamming distance measure is applied to decide on Covid-19 diagnosis.