On soft topological hypergroups
Hyperstructure theory, initiated by Marty, is a generalization theory of classical algebraic structures, while soft settheory is a powerful mathematical approach for modeling uncertainties and imprecision. In this study, it is aimed tointroduce the concept of soft topological hypergroups by presenti...
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2020-12-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_2632_77d9930d09441da1f560a228ee259435.pdf |
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| author | Gulay Oguz |
| author_facet | Gulay Oguz |
| author_sort | Gulay Oguz |
| collection | DOAJ |
| description | Hyperstructure theory, initiated by Marty, is a generalization theory of classical algebraic structures, while soft settheory is a powerful mathematical approach for modeling uncertainties and imprecision. In this study, it is aimed tointroduce the concept of soft topological hypergroups by presenting a soft approachto the concept of topological hypergroups, one of the topological algebraic hyperstructures. Also, by defining the concept of a soft topological transposition hypergroup, several special types of soft topological subhypergroups are presented, and then therelationships between these concepts are investigated. Later on,by constructing the category CSTH of soft topological hypergroups with soft topological homomorphisms, some related characterizations are established. |
| format | Article |
| id | doaj-art-ecb89080e8bf4e8f8af4d773b21102b7 |
| institution | DOAJ |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2020-12-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-ecb89080e8bf4e8f8af4d773b21102b72025-08-20T02:40:20ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662020-12-0192819510.22098/jhs.2020.26322632On soft topological hypergroupsGulay Oguz0Department of Mathematics, University of Harran, P.O.Box 63200, anlurfa, TurkeyHyperstructure theory, initiated by Marty, is a generalization theory of classical algebraic structures, while soft settheory is a powerful mathematical approach for modeling uncertainties and imprecision. In this study, it is aimed tointroduce the concept of soft topological hypergroups by presenting a soft approachto the concept of topological hypergroups, one of the topological algebraic hyperstructures. Also, by defining the concept of a soft topological transposition hypergroup, several special types of soft topological subhypergroups are presented, and then therelationships between these concepts are investigated. Later on,by constructing the category CSTH of soft topological hypergroups with soft topological homomorphisms, some related characterizations are established.https://jhs.uma.ac.ir/article_2632_77d9930d09441da1f560a228ee259435.pdfsoft settopological hypergroupsoft hypergroupsoft topological hypergroup |
| spellingShingle | Gulay Oguz On soft topological hypergroups Journal of Hyperstructures soft set topological hypergroup soft hypergroup soft topological hypergroup |
| title | On soft topological hypergroups |
| title_full | On soft topological hypergroups |
| title_fullStr | On soft topological hypergroups |
| title_full_unstemmed | On soft topological hypergroups |
| title_short | On soft topological hypergroups |
| title_sort | on soft topological hypergroups |
| topic | soft set topological hypergroup soft hypergroup soft topological hypergroup |
| url | https://jhs.uma.ac.ir/article_2632_77d9930d09441da1f560a228ee259435.pdf |
| work_keys_str_mv | AT gulayoguz onsofttopologicalhypergroups |