A Certain Class of <italic>t</italic>-Intuitionistic Fuzzy Subgroups
In this study, the t-intuitionistic fuzzy normalizer and centralizer of t intuitionistic fuzzy subgroup are proposed. The t-intuitionistic fuzzy centralizer is normal subgroup of t-intuitionistic fuzzy normalizer and investigate various algebraic properties of this phenomena. We also introduce the c...
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doaj-d971159e609b4803b0ad048592c707152021-03-30T03:55:45ZengIEEEIEEE Access2169-35362020-01-01816326016326810.1109/ACCESS.2020.30203669180288A Certain Class of <italic>t</italic>-Intuitionistic Fuzzy SubgroupsMuhammad Gulzar0https://orcid.org/0000-0001-6794-7942Dilshad Alghazzawi1https://orcid.org/0000-0002-8330-2818Muhammad Haris Mateen2https://orcid.org/0000-0001-5097-8099Nasreen Kausar3https://orcid.org/0000-0002-8659-0747Department of Mathematics, Government College University Faisalabad, Faisalabad, PakistanDepartment of Mathematics, King Abdulaziz University, Rabigh, Saudi ArabiaDepartment of Mathematics, University of the Punjab, Lahore, PakistanDepartment of Mathematics, University of Agriculture Faisalabad, Faisalabad, PakistanIn this study, the t-intuitionistic fuzzy normalizer and centralizer of t intuitionistic fuzzy subgroup are proposed. The t-intuitionistic fuzzy centralizer is normal subgroup of t-intuitionistic fuzzy normalizer and investigate various algebraic properties of this phenomena. We also introduce the concept of t-intuitionistic fuzzy Abelian and cyclic subgroups and prove that every t-intuitionistic fuzzy subgroup of Abelian (cyclic) group is t-intuitionistic fuzzy Abelian (cyclic) subgroup. We show that the image and pre-image of t-intuitionistic fuzzy Abelian (cyclic) subgroup are t-intuitionistic fuzzy Abelian (cyclic) subgroup under group homomorphism.https://ieeexplore.ieee.org/document/9180288/<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">t</italic>-intuitionistic fuzzy set<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">t</italic>-intuitionistic fuzzy subgroup<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">t</italic>-intuitionistic fuzzy Abelian subgroup<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">t</italic>-intuitionistic fuzzy cyclic subgroup |
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English |
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DOAJ |
author |
Muhammad Gulzar Dilshad Alghazzawi Muhammad Haris Mateen Nasreen Kausar |
spellingShingle |
Muhammad Gulzar Dilshad Alghazzawi Muhammad Haris Mateen Nasreen Kausar A Certain Class of <italic>t</italic>-Intuitionistic Fuzzy Subgroups IEEE Access <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">t</italic>-intuitionistic fuzzy set <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">t</italic>-intuitionistic fuzzy subgroup <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">t</italic>-intuitionistic fuzzy Abelian subgroup <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">t</italic>-intuitionistic fuzzy cyclic subgroup |
author_facet |
Muhammad Gulzar Dilshad Alghazzawi Muhammad Haris Mateen Nasreen Kausar |
author_sort |
Muhammad Gulzar |
title |
A Certain Class of <italic>t</italic>-Intuitionistic Fuzzy Subgroups |
title_short |
A Certain Class of <italic>t</italic>-Intuitionistic Fuzzy Subgroups |
title_full |
A Certain Class of <italic>t</italic>-Intuitionistic Fuzzy Subgroups |
title_fullStr |
A Certain Class of <italic>t</italic>-Intuitionistic Fuzzy Subgroups |
title_full_unstemmed |
A Certain Class of <italic>t</italic>-Intuitionistic Fuzzy Subgroups |
title_sort |
certain class of <italic>t</italic>-intuitionistic fuzzy subgroups |
publisher |
IEEE |
series |
IEEE Access |
issn |
2169-3536 |
publishDate |
2020-01-01 |
description |
In this study, the t-intuitionistic fuzzy normalizer and centralizer of t intuitionistic fuzzy subgroup are proposed. The t-intuitionistic fuzzy centralizer is normal subgroup of t-intuitionistic fuzzy normalizer and investigate various algebraic properties of this phenomena. We also introduce the concept of t-intuitionistic fuzzy Abelian and cyclic subgroups and prove that every t-intuitionistic fuzzy subgroup of Abelian (cyclic) group is t-intuitionistic fuzzy Abelian (cyclic) subgroup. We show that the image and pre-image of t-intuitionistic fuzzy Abelian (cyclic) subgroup are t-intuitionistic fuzzy Abelian (cyclic) subgroup under group homomorphism. |
topic |
<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">t</italic>-intuitionistic fuzzy set <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">t</italic>-intuitionistic fuzzy subgroup <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">t</italic>-intuitionistic fuzzy Abelian subgroup <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">t</italic>-intuitionistic fuzzy cyclic subgroup |
url |
https://ieeexplore.ieee.org/document/9180288/ |
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