(<i>L</i>,⊙)-Fuzzy (<i>K</i>,<i>E</i>)-Soft Filter

(<i>L</i>,⊙)-Fuzzy (<i>K</i>,<i>E</i>)-Soft Filter

In the present study, we preface the notion of the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>L</mi><mo>,</mo><mo>⊙&l...

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Autores principales: Ahmed Aref Abd El-Latif, Ahmed Abd Elkader Ramadan
Formato: article
Lenguaje:EN
Publicado: MDPI AG 2021
Materias:
strictly two-sided commutative quantale lattice
(<i>L</i>,⊙)-fuzzy (<i>K</i>,<i>E</i>)-soft filter
(<i>L</i>,⊙)-fuzzy (<i>K</i>,<i>E</i>)-soft topology)
Mathematics
QA1-939
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spelling oai:doaj.org-article:7bab26db828a4f219723a8c794a533fd2021-11-25T18:16:57Z(<i>L</i>,⊙)-Fuzzy (<i>K</i>,<i>E</i>)-Soft Filter10.3390/math92228952227-7390https://doaj.org/article/7bab26db828a4f219723a8c794a533fd2021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/22/2895https://doaj.org/toc/2227-7390In the present study, we preface the notion of the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>L</mi><mo>,</mo><mo>⊙</mo><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula>-fuzzy <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>K</mi><mo>,</mo><mi>E</mi><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula>-soft filter and probe many of its characteristics. Using certain operations, we induce <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>L</mi><mo>,</mo><mo>⊙</mo><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula>-fuzzy <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>K</mi><mo>,</mo><mi>E</mi><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula>-soft topologies from <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>L</mi><mo>,</mo><mo>⊙</mo><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula>-fuzzy <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>K</mi><mo>,</mo><mi>E</mi><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula>-soft filters. Finally, we introduce the products of the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>L</mi><mo>,</mo><mo>⊙</mo><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula>-fuzzy <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>K</mi><mo>,</mo><mi>E</mi><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula>-soft filters and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>L</mi><mo>,</mo><mo>⊙</mo><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula>-fuzzy <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>K</mi><mo>,</mo><mi>E</mi><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula>-soft topologies on strictly two-sided commutative quantale lattices <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>L</mi><mo>,</mo><mo>⊙</mo><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>L</mi><mo>,</mo><mo>∗</mo><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula>.Ahmed Aref Abd El-LatifAhmed Abd Elkader RamadanMDPI AGarticlestrictly two-sided commutative quantale lattice(<i>L</i>,⊙)-fuzzy (<i>K</i>,<i>E</i>)-soft filter(<i>L</i>,⊙)-fuzzy (<i>K</i>,<i>E</i>)-soft topology)MathematicsQA1-939ENMathematics, Vol 9, Iss 2895, p 2895 (2021)
institution DOAJ
collection DOAJ
language EN
topic strictly two-sided commutative quantale lattice
(<i>L</i>,⊙)-fuzzy (<i>K</i>,<i>E</i>)-soft filter
(<i>L</i>,⊙)-fuzzy (<i>K</i>,<i>E</i>)-soft topology)
Mathematics
QA1-939
spellingShingle strictly two-sided commutative quantale lattice
(<i>L</i>,⊙)-fuzzy (<i>K</i>,<i>E</i>)-soft filter
(<i>L</i>,⊙)-fuzzy (<i>K</i>,<i>E</i>)-soft topology)
Mathematics
QA1-939
Ahmed Aref Abd El-Latif
Ahmed Abd Elkader Ramadan
(<i>L</i>,⊙)-Fuzzy (<i>K</i>,<i>E</i>)-Soft Filter
description In the present study, we preface the notion of the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>L</mi><mo>,</mo><mo>⊙</mo><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula>-fuzzy <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>K</mi><mo>,</mo><mi>E</mi><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula>-soft filter and probe many of its characteristics. Using certain operations, we induce <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>L</mi><mo>,</mo><mo>⊙</mo><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula>-fuzzy <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>K</mi><mo>,</mo><mi>E</mi><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula>-soft topologies from <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>L</mi><mo>,</mo><mo>⊙</mo><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula>-fuzzy <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>K</mi><mo>,</mo><mi>E</mi><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula>-soft filters. Finally, we introduce the products of the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>L</mi><mo>,</mo><mo>⊙</mo><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula>-fuzzy <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>K</mi><mo>,</mo><mi>E</mi><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula>-soft filters and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>L</mi><mo>,</mo><mo>⊙</mo><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula>-fuzzy <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>K</mi><mo>,</mo><mi>E</mi><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula>-soft topologies on strictly two-sided commutative quantale lattices <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>L</mi><mo>,</mo><mo>⊙</mo><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><mi>L</mi><mo>,</mo><mo>∗</mo><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula>.
format article
author Ahmed Aref Abd El-Latif
Ahmed Abd Elkader Ramadan
author_facet Ahmed Aref Abd El-Latif
Ahmed Abd Elkader Ramadan
author_sort Ahmed Aref Abd El-Latif
title (<i>L</i>,⊙)-Fuzzy (<i>K</i>,<i>E</i>)-Soft Filter
title_short (<i>L</i>,⊙)-Fuzzy (<i>K</i>,<i>E</i>)-Soft Filter
title_full (<i>L</i>,⊙)-Fuzzy (<i>K</i>,<i>E</i>)-Soft Filter
title_fullStr (<i>L</i>,⊙)-Fuzzy (<i>K</i>,<i>E</i>)-Soft Filter
title_full_unstemmed (<i>L</i>,⊙)-Fuzzy (<i>K</i>,<i>E</i>)-Soft Filter
title_sort (<i>l</i>,⊙)-fuzzy (<i>k</i>,<i>e</i>)-soft filter
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/7bab26db828a4f219723a8c794a533fd
work_keys_str_mv AT ahmedarefabdellatif ilifuzzyikiieisoftfilter
AT ahmedabdelkaderramadan ilifuzzyikiieisoftfilter
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