Neutrosophic Semiopen Hypersoft Sets with an Application to MAGDM under the COVID-19 Scenario

Hypersoft set is a generalization of soft sets, which takes into account a multiargument function. The main objective of this work is to introduce fuzzy semiopen and closed hypersoft sets and study some of their characterizations and also to present neutrosophic semiopen and closed hypersoft sets, a...

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Main Authors: D. Ajay, J. Joseline Charisma, N. Boonsatit, P. Hammachukiattikul, G. Rajchakit
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/5583218
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author D. Ajay
J. Joseline Charisma
N. Boonsatit
P. Hammachukiattikul
G. Rajchakit
author_facet D. Ajay
J. Joseline Charisma
N. Boonsatit
P. Hammachukiattikul
G. Rajchakit
author_sort D. Ajay
collection DOAJ
description Hypersoft set is a generalization of soft sets, which takes into account a multiargument function. The main objective of this work is to introduce fuzzy semiopen and closed hypersoft sets and study some of their characterizations and also to present neutrosophic semiopen and closed hypersoft sets, an extension of fuzzy hypersoft sets, along with few basic properties. We propose two algorithms based on neutrosophic hypersoft open sets and topology to obtain optimal decisions in MAGDM. The efficiency of the algorithms proposed is demonstrated by applying them to the current COVID-19 scenario.
format Article
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institution OA Journals
issn 2314-4629
2314-4785
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publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-263cfc0c16014dd28b20d0fa3df837432025-08-20T02:04:21ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/55832185583218Neutrosophic Semiopen Hypersoft Sets with an Application to MAGDM under the COVID-19 ScenarioD. Ajay0J. Joseline Charisma1N. Boonsatit2P. Hammachukiattikul3G. Rajchakit4Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur, Vellore 635 601, Tamilnadu, IndiaDepartment of Mathematics, Sacred Heart College (Autonomous), Tirupattur, Vellore 635 601, Tamilnadu, IndiaDepartment of Mathematics, Faculty of Science and Technology, Rajamangala University of Technology Suvarnabhumi, Nonthaburi 11000, ThailandDepartment of Mathematics, Faculty of Science and Technology, Phuket Rajabhat University, Phuket 83000, ThailandDepartment of Mathematics, Faculty of Science, Maejo University, Chiang Mai 50290, ThailandHypersoft set is a generalization of soft sets, which takes into account a multiargument function. The main objective of this work is to introduce fuzzy semiopen and closed hypersoft sets and study some of their characterizations and also to present neutrosophic semiopen and closed hypersoft sets, an extension of fuzzy hypersoft sets, along with few basic properties. We propose two algorithms based on neutrosophic hypersoft open sets and topology to obtain optimal decisions in MAGDM. The efficiency of the algorithms proposed is demonstrated by applying them to the current COVID-19 scenario.http://dx.doi.org/10.1155/2021/5583218
spellingShingle D. Ajay
J. Joseline Charisma
N. Boonsatit
P. Hammachukiattikul
G. Rajchakit
Neutrosophic Semiopen Hypersoft Sets with an Application to MAGDM under the COVID-19 Scenario
Journal of Mathematics
title Neutrosophic Semiopen Hypersoft Sets with an Application to MAGDM under the COVID-19 Scenario
title_full Neutrosophic Semiopen Hypersoft Sets with an Application to MAGDM under the COVID-19 Scenario
title_fullStr Neutrosophic Semiopen Hypersoft Sets with an Application to MAGDM under the COVID-19 Scenario
title_full_unstemmed Neutrosophic Semiopen Hypersoft Sets with an Application to MAGDM under the COVID-19 Scenario
title_short Neutrosophic Semiopen Hypersoft Sets with an Application to MAGDM under the COVID-19 Scenario
title_sort neutrosophic semiopen hypersoft sets with an application to magdm under the covid 19 scenario
url http://dx.doi.org/10.1155/2021/5583218
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