Neutrosophic Sub-Group over <i>t</i>-Norm and <i>t</i>-Co-Norm
This study employs the notions of t-norms and t-co-norms to define a group of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">T</mi></semantics></math></in...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-01-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/13/2/101 |
| _version_ | 1827344144225271808 |
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| author | Ali Yahya Hummdi Mohamed Abdalla Amr Elrawy |
| author_facet | Ali Yahya Hummdi Mohamed Abdalla Amr Elrawy |
| author_sort | Ali Yahya Hummdi |
| collection | DOAJ |
| description | This study employs the notions of t-norms and t-co-norms to define a group of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">T</mi></semantics></math></inline-formula>-neutrosophic sub-groups and normal <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">T</mi></semantics></math></inline-formula>-neutrosophic subgroups. Furthermore, the different properties of these sub-groups have been investigated. After that, the <i>t</i>-norm and the <i>t</i>-co-norm were applied to the finite direct product of the group. |
| first_indexed | 2024-03-07T22:42:44Z |
| format | Article |
| id | doaj.art-83c370ad2457461abecde49f3c677659 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-07T22:42:44Z |
| publishDate | 2024-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-83c370ad2457461abecde49f3c6776592024-02-23T15:07:24ZengMDPI AGAxioms2075-16802024-01-0113210110.3390/axioms13020101Neutrosophic Sub-Group over <i>t</i>-Norm and <i>t</i>-Co-NormAli Yahya Hummdi0Mohamed Abdalla1Amr Elrawy2Department of Mathematics, King Khalid University, Abha 61471, Saudi ArabiaDepartment of Mathematics, Faculty of Science, South Valley University, Qena 83523, EgyptDepartment of Mathematics, Faculty of Science, South Valley University, Qena 83523, EgyptThis study employs the notions of t-norms and t-co-norms to define a group of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">T</mi></semantics></math></inline-formula>-neutrosophic sub-groups and normal <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">T</mi></semantics></math></inline-formula>-neutrosophic subgroups. Furthermore, the different properties of these sub-groups have been investigated. After that, the <i>t</i>-norm and the <i>t</i>-co-norm were applied to the finite direct product of the group.https://www.mdpi.com/2075-1680/13/2/101neutrosophic sett-normt-co-normneutrosophic sub-group |
| spellingShingle | Ali Yahya Hummdi Mohamed Abdalla Amr Elrawy Neutrosophic Sub-Group over <i>t</i>-Norm and <i>t</i>-Co-Norm Axioms neutrosophic set t-norm t-co-norm neutrosophic sub-group |
| title | Neutrosophic Sub-Group over <i>t</i>-Norm and <i>t</i>-Co-Norm |
| title_full | Neutrosophic Sub-Group over <i>t</i>-Norm and <i>t</i>-Co-Norm |
| title_fullStr | Neutrosophic Sub-Group over <i>t</i>-Norm and <i>t</i>-Co-Norm |
| title_full_unstemmed | Neutrosophic Sub-Group over <i>t</i>-Norm and <i>t</i>-Co-Norm |
| title_short | Neutrosophic Sub-Group over <i>t</i>-Norm and <i>t</i>-Co-Norm |
| title_sort | neutrosophic sub group over i t i norm and i t i co norm |
| topic | neutrosophic set t-norm t-co-norm neutrosophic sub-group |
| url | https://www.mdpi.com/2075-1680/13/2/101 |
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