International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/1821 2020 2020 Department of Mathematics, Government Arts College, Dharmapuri, Tamil Nadu - 636 705, India; Department of Mathematics, Kandaswami Kandar’s College P-velur, Tamil Nadu - 638 182, India S. Aranganayagi Department of Mathematics, Kandaswami Kandar’s College P-velur, Tamil Nadu - 638 182, India M. Saraswathi Department of Mathematics, M.Kumarasamy College of Engineering, Karur - 639 113; Department of Mathematics, Annamalai University, Annamalai Nagar - 608 002, India K. Chitirakala maps, fuzzy hypersoft pre open maps, fuzzy hypersoft δ open maps, fuzzy hypersoft δ pre open maps, fuzzy hypersoft δ semi open maps, fuzzy hypersoft e open maps, fuzzy hypersoft δα open maps, fuzzy hypersoft e∗ open maps and their respective closed maps in fuzzy hypersoft topological spaces. Also, we have discussed the properties of various forms of fuzzy hypersoft open and closed maps. Moreover, a new cotangent similarity measure for fuzzy hypersoft sets is introduced and an application in Covid-19 diagnosis is explained with an example. 2023 2023 32 58 10.54216/IJNS.210203 https://www.americaspg.com/articleinfo/21/show/1821