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On soft topological hypergroups | ||
| Journal of Hyperstructures | ||
| دوره 9، شماره 2، اسفند 2020، صفحه 81-95 اصل مقاله (284.26 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2020.2632 | ||
| نویسنده | ||
| Gulay Oguz* | ||
| Department of Mathematics, University of Harran, P.O.Box 63200, anlurfa, Turkey | ||
| چکیده | ||
| Hyperstructure theory, initiated by Marty, is a generalization theory of classical algebraic structures, while soft set theory is a powerful mathematical approach for modeling uncertainties and imprecision. In this study, it is aimed to introduce 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 the relationships 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. | ||
| کلیدواژه‌ها | ||
| Soft set؛ Topological hypergroup؛ Soft hypergroup؛ Soft topological hypergroup | ||
| مراجع | ||
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