APPLICATIONS OF ROUGH SOFT TO EXTENSIONS SEMIHYPERGROUPS INDUCED BY OPERATORS AND CORRESPONDING DECISION-MAKING METHODS | ||
| Journal of Algebraic Systems | ||
| دوره 13، شماره 1، تیر 2025، صفحه 105-134 اصل مقاله (213.96 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2023.12745.1688 | ||
| نویسندگان | ||
| Noreh Rakhsh-Khorshid1؛ Sohrab Ostadhadi-Dehkordi* 2 | ||
| 1Department of Mathematics, University of Hormozgan, Bandar Abbas, Iran. | ||
| 2Department of Mathematics, Hormozgan University, Bandar Abbas, Iran. | ||
| چکیده | ||
| In this paper, we apply a rough soft set to a spe-cial algebraic hyperstructure, and give the concept of a rough soft semihypergroup. We propose the notion of lower and upper approximations concerning a special semihypergroup and obtain some properties. Moreover, we consider a connection between the lower(upper) approximation of a special semihypergroup and the lower(upper) approximation of the associated -hypergroupoid. In the last section of this research, we discuss the decision-making algorithm of rough soft semihypergroups. Afterward, we obtain a relation between the decision-making algorithm of rough soft semi-hypergroups and their associated rough soft -hypergroupoids for a special semihypergroup. | ||
| کلیدواژهها | ||
| Semihypergroup؛ \Gamma-semihypergroup؛ regular relation؛ Pawlak space؛ rough soft set | ||
| مراجع | ||
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