Fuzzy Logical Algebra and Study of the Effectiveness of Medications for COVID-19

Fuzzy Logical Algebra and Study of the Effectiveness of Medications for COVID-19

A fuzzy logical algebra has diverse applications in various domains such as engineering, economics, environment, medicine, and so on. However, the existing techniques in algebra do not apply to delta-algebra. Therefore, the purpose of this paper was to investigate new types of cubic soft algebras an...

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Autores principales: Shuker Khalil, Ahmed Hassan, Haya Alaskar, Wasiq Khan, Abir Hussain
Formato: article
Lenguaje:EN
Publicado: MDPI AG 2021
Materias:
fuzzy soft sets
COVID-19
python program
logical algebra
cubic sets
P/R-union
Mathematics
QA1-939
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spelling oai:doaj.org-article:8949fd252aba4b409f66f29f3e114d562021-11-25T18:16:25ZFuzzy Logical Algebra and Study of the Effectiveness of Medications for COVID-1910.3390/math92228382227-7390https://doaj.org/article/8949fd252aba4b409f66f29f3e114d562021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/22/2838https://doaj.org/toc/2227-7390A fuzzy logical algebra has diverse applications in various domains such as engineering, economics, environment, medicine, and so on. However, the existing techniques in algebra do not apply to delta-algebra. Therefore, the purpose of this paper was to investigate new types of cubic soft algebras and study their applications, the representation of cubic soft sets with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-algebras, and new types of cubic soft algebras, such as cubic soft <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-subalgebra based on the parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>λ</mi></semantics></math></inline-formula> (<i>λ</i>-<i>CSδ</i>-<i>SA</i>) and cubic soft <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-subalgebra (<i>CSδ</i>-<i>SA</i>) over <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>η</mi></semantics></math></inline-formula>. This study explains why the P-union is not really a soft cubic <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-subalgebra of two soft cubic <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-subalgebras. We also reveal that any R/P-cubic soft subsets of (<i>CSδ</i>-<i>SA</i>) is not necessarily (<i>CSδ</i>-<i>SA</i>). Furthermore, we present the required conditions to prove that the R-union of two members is (<i>CSδ</i>-<i>SA</i>) if each one of them is (<i>CSδ</i>-<i>SA</i>). To illustrate our assumptions, the proposed (<i>CSδ</i>-<i>SA</i>) is applied to study the effectiveness of medications for COVID-19 using the python program.Shuker KhalilAhmed HassanHaya AlaskarWasiq KhanAbir HussainMDPI AGarticlefuzzy soft setsCOVID-19python programlogical algebracubic setsP/R-unionMathematicsQA1-939ENMathematics, Vol 9, Iss 2838, p 2838 (2021)
institution DOAJ
collection DOAJ
language EN
topic fuzzy soft sets
COVID-19
python program
logical algebra
cubic sets
P/R-union
Mathematics
QA1-939
spellingShingle fuzzy soft sets
COVID-19
python program
logical algebra
cubic sets
P/R-union
Mathematics
QA1-939
Shuker Khalil
Ahmed Hassan
Haya Alaskar
Wasiq Khan
Abir Hussain
Fuzzy Logical Algebra and Study of the Effectiveness of Medications for COVID-19
description A fuzzy logical algebra has diverse applications in various domains such as engineering, economics, environment, medicine, and so on. However, the existing techniques in algebra do not apply to delta-algebra. Therefore, the purpose of this paper was to investigate new types of cubic soft algebras and study their applications, the representation of cubic soft sets with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-algebras, and new types of cubic soft algebras, such as cubic soft <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-subalgebra based on the parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>λ</mi></semantics></math></inline-formula> (<i>λ</i>-<i>CSδ</i>-<i>SA</i>) and cubic soft <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-subalgebra (<i>CSδ</i>-<i>SA</i>) over <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>η</mi></semantics></math></inline-formula>. This study explains why the P-union is not really a soft cubic <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-subalgebra of two soft cubic <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-subalgebras. We also reveal that any R/P-cubic soft subsets of (<i>CSδ</i>-<i>SA</i>) is not necessarily (<i>CSδ</i>-<i>SA</i>). Furthermore, we present the required conditions to prove that the R-union of two members is (<i>CSδ</i>-<i>SA</i>) if each one of them is (<i>CSδ</i>-<i>SA</i>). To illustrate our assumptions, the proposed (<i>CSδ</i>-<i>SA</i>) is applied to study the effectiveness of medications for COVID-19 using the python program.
format article
author Shuker Khalil
Ahmed Hassan
Haya Alaskar
Wasiq Khan
Abir Hussain
author_facet Shuker Khalil
Ahmed Hassan
Haya Alaskar
Wasiq Khan
Abir Hussain
author_sort Shuker Khalil
title Fuzzy Logical Algebra and Study of the Effectiveness of Medications for COVID-19
title_short Fuzzy Logical Algebra and Study of the Effectiveness of Medications for COVID-19
title_full Fuzzy Logical Algebra and Study of the Effectiveness of Medications for COVID-19
title_fullStr Fuzzy Logical Algebra and Study of the Effectiveness of Medications for COVID-19
title_full_unstemmed Fuzzy Logical Algebra and Study of the Effectiveness of Medications for COVID-19
title_sort fuzzy logical algebra and study of the effectiveness of medications for covid-19
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/8949fd252aba4b409f66f29f3e114d56
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AT ahmedhassan fuzzylogicalalgebraandstudyoftheeffectivenessofmedicationsforcovid19
AT hayaalaskar fuzzylogicalalgebraandstudyoftheeffectivenessofmedicationsforcovid19
AT wasiqkhan fuzzylogicalalgebraandstudyoftheeffectivenessofmedicationsforcovid19
AT abirhussain fuzzylogicalalgebraandstudyoftheeffectivenessofmedicationsforcovid19
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