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

Volume 30, Issue 3, pp 190--203
Publication Date: December 29, 2022 Submission Date: September 19, 2022 Revision Date: November 02, 2022 Accteptance Date: November 10, 2022
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### Authors

S. Aranganayagi - Department of Mathematics, Government Arts College, Dharmapuri, Tamil Nadu-636 705, India. M. Saraswathi - Department of Mathematics , Kandaswami Kandar's College P-velur, Tamil Nadu-638 182, India. S. S. Santra - Department of Mathematics, Applied Science Cluster, University of Petroleum and Energy Studies (UPES), Dehradun, Uttarakhand 248007, India. D. Baleanu - Department of Mathematics and Computer Science, Faculty of Arts and Sciences, Ankaya University, Ankara, 06790 Etimesgut, Turkey. - Institute of Space Sciences, Magurele-Bucharest, 077125 Magurele, Romania. - Department of Medical Research, China Medical University Hospital , China Medical University, Taichung, 40402, Taiwan, Republic of China. A. Vadivel - PG and Research Department of Mathematics, Government Arts College (Autonomous), Karur - 639 005, India. - Department of Mathematics , Annamalai University, Annamalai Nagar - 608 002, India. V. Govindan - Department of Mathematics, Dmi St John The Baptist University, 800-Central Africa, Malawi.

### 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.

### Share and Cite

##### ISRP Style

S. Aranganayagi, M. Saraswathi, S. S. Santra, D. Baleanu, A. Vadivel, V. Govindan, Fuzzy hypersoft contra maps, homeomorphisms, and application in Covid-19 diagnosis using Hamming distance, Journal of Mathematics and Computer Science, 30 (2023), no. 3, 190--203

##### AMA Style

Aranganayagi S., Saraswathi M., Santra S. S., Baleanu D., Vadivel A., Govindan V., Fuzzy hypersoft contra maps, homeomorphisms, and application in Covid-19 diagnosis using Hamming distance. J Math Comput SCI-JM. (2023); 30(3):190--203

##### Chicago/Turabian Style

Aranganayagi, S., Saraswathi, M., Santra, S. S., Baleanu, D., Vadivel, A., Govindan, V.. "Fuzzy hypersoft contra maps, homeomorphisms, and application in Covid-19 diagnosis using Hamming distance." Journal of Mathematics and Computer Science, 30, no. 3 (2023): 190--203

### Keywords

• Fuzzy hypersoft contra open maps
• fuzzy hypersoft contra semi open maps
• fuzzy hypersoft contra closed maps
• fuzzy hypersoft contra semi closed maps
• hypersoft contra semi homeomorphism
• fuzzy hypersoft contra C-homeomorphism
• Hamming distance

•  03E72
•  54A10
•  54A40
•  54C05
•  54C10

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