Applications of (Neutro/Anti)sophications to Semihypergroups
In this paper, we extend the notion of semi-hypergroups (resp. hypergroups) to neutro-semihypergroups (resp. neutro-hypergroups). We investigate the property of anti-semihypergroups (resp. anti-hypergroups). We also give a new alternative of neutro-hyperoperations (resp. anti-hyperoperations), neutr...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6649349 |
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| author | A. Rezaei F. Smarandache S. Mirvakili |
| author_facet | A. Rezaei F. Smarandache S. Mirvakili |
| author_sort | A. Rezaei |
| collection | DOAJ |
| description | In this paper, we extend the notion of semi-hypergroups (resp. hypergroups) to neutro-semihypergroups (resp. neutro-hypergroups). We investigate the property of anti-semihypergroups (resp. anti-hypergroups). We also give a new alternative of neutro-hyperoperations (resp. anti-hyperoperations), neutro-hyperoperation-sophications (resp. anti-hypersophications). Moreover, we show that these new concepts are different from classical concepts by several examples. |
| format | Article |
| id | doaj-art-72037ff83a464b2abf1c3cbf7efa449f |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-72037ff83a464b2abf1c3cbf7efa449f2025-02-03T01:25:25ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66493496649349Applications of (Neutro/Anti)sophications to SemihypergroupsA. Rezaei0F. Smarandache1S. Mirvakili2Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, IranDepartment of Mathematics and Science, University of New Mexico, Gallup, New Mexico 87301, USADepartment of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, IranIn this paper, we extend the notion of semi-hypergroups (resp. hypergroups) to neutro-semihypergroups (resp. neutro-hypergroups). We investigate the property of anti-semihypergroups (resp. anti-hypergroups). We also give a new alternative of neutro-hyperoperations (resp. anti-hyperoperations), neutro-hyperoperation-sophications (resp. anti-hypersophications). Moreover, we show that these new concepts are different from classical concepts by several examples.http://dx.doi.org/10.1155/2021/6649349 |
| spellingShingle | A. Rezaei F. Smarandache S. Mirvakili Applications of (Neutro/Anti)sophications to Semihypergroups Journal of Mathematics |
| title | Applications of (Neutro/Anti)sophications to Semihypergroups |
| title_full | Applications of (Neutro/Anti)sophications to Semihypergroups |
| title_fullStr | Applications of (Neutro/Anti)sophications to Semihypergroups |
| title_full_unstemmed | Applications of (Neutro/Anti)sophications to Semihypergroups |
| title_short | Applications of (Neutro/Anti)sophications to Semihypergroups |
| title_sort | applications of neutro anti sophications to semihypergroups |
| url | http://dx.doi.org/10.1155/2021/6649349 |
| work_keys_str_mv | AT arezaei applicationsofneutroantisophicationstosemihypergroups AT fsmarandache applicationsofneutroantisophicationstosemihypergroups AT smirvakili applicationsofneutroantisophicationstosemihypergroups |