Fuzzy Bigroup from another Viewpoint
In group theory, given two groups G and H, it is possible to construct a new group from the Cartesian product of G and H, G × H. With this as a motivation, we replicate this concept in fuzzy group algebra. In this paper, we take a slight deviation from the familiar definition of fuzzy bigroup by lo...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Fountain University Osogbo
2016-12-01
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| Series: | Fountain Journal of Natural and Applied Sciences (FUJNAS) |
| Online Access: | https://www.fountainjournals.com/index.php/FUJNAS/article/view/101 |
| _version_ | 1797663195748368384 |
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| author | L. S. Akinola Y. T. Oyebo E. O. Abolarin A. M. Udoye L. O. Salaudeen |
| author_facet | L. S. Akinola Y. T. Oyebo E. O. Abolarin A. M. Udoye L. O. Salaudeen |
| author_sort | L. S. Akinola |
| collection | DOAJ |
| description |
In group theory, given two groups G and H, it is possible to construct a new group from the Cartesian product of G and H, G × H. With this as a motivation, we replicate this concept in fuzzy group algebra. In this paper, we take a slight deviation from the familiar definition of fuzzy bigroup by looking at fuzzy bigroup from the idea of Cartesian product of groups. We define Cartesian fuzzy function on groups and give examples. We also define Cartesian fuzzy bigroup and study some of its basic properties.
Keywords: Bigroups, Cartesian fuzzy function, Fuzzy bigroups.
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| first_indexed | 2024-03-11T19:10:08Z |
| format | Article |
| id | doaj.art-590f37564cd24c68a10391917ce00fde |
| institution | Directory Open Access Journal |
| issn | 2350-1863 2354-337X |
| language | English |
| last_indexed | 2024-03-11T19:10:08Z |
| publishDate | 2016-12-01 |
| publisher | Fountain University Osogbo |
| record_format | Article |
| series | Fountain Journal of Natural and Applied Sciences (FUJNAS) |
| spelling | doaj.art-590f37564cd24c68a10391917ce00fde2023-10-09T17:08:32ZengFountain University OsogboFountain Journal of Natural and Applied Sciences (FUJNAS)2350-18632354-337X2016-12-015210.53704/fujnas.v5i2.101Fuzzy Bigroup from another ViewpointL. S. Akinola0Y. T. Oyebo1E. O. Abolarin2A. M. Udoye3L. O. Salaudeen4Department of Mathematics, Faculty of Science, Federal University, Oye-Ekiti, Ekiti State, Nigeria.Department of Mathematics, Lagos State University, Ojoo-Lagos.lagos State, Nigeria.Department of Mathematics, Faculty of Science, Federal University, Oye-Ekiti, Ekiti State, Nigeria.Department of Mathematics, Faculty of Science, Federal University, Oye-Ekiti, Ekiti State, Nigeria.Department of Mathematics, Faculty of Science, Federal University, Oye-Ekiti, Ekiti State, Nigeria. In group theory, given two groups G and H, it is possible to construct a new group from the Cartesian product of G and H, G × H. With this as a motivation, we replicate this concept in fuzzy group algebra. In this paper, we take a slight deviation from the familiar definition of fuzzy bigroup by looking at fuzzy bigroup from the idea of Cartesian product of groups. We define Cartesian fuzzy function on groups and give examples. We also define Cartesian fuzzy bigroup and study some of its basic properties. Keywords: Bigroups, Cartesian fuzzy function, Fuzzy bigroups. https://www.fountainjournals.com/index.php/FUJNAS/article/view/101 |
| spellingShingle | L. S. Akinola Y. T. Oyebo E. O. Abolarin A. M. Udoye L. O. Salaudeen Fuzzy Bigroup from another Viewpoint Fountain Journal of Natural and Applied Sciences (FUJNAS) |
| title | Fuzzy Bigroup from another Viewpoint |
| title_full | Fuzzy Bigroup from another Viewpoint |
| title_fullStr | Fuzzy Bigroup from another Viewpoint |
| title_full_unstemmed | Fuzzy Bigroup from another Viewpoint |
| title_short | Fuzzy Bigroup from another Viewpoint |
| title_sort | fuzzy bigroup from another viewpoint |
| url | https://www.fountainjournals.com/index.php/FUJNAS/article/view/101 |
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