Roughness in Fuzzy Cayley Graphs
| dc.contributor.author | Shahzamanian, M.H. | |
| dc.contributor.author | Davvaz, B . | |
| dc.date.accessioned | 2024-02-14T04:03:29Z | |
| dc.date.available | 2024-02-14T04:03:29Z | |
| dc.date.issued | 2023-12-30 | |
| dc.description.abstract | Rough set theory is a worth noticing approach for inexact and uncertain system modelling. When rough set theory accompanies with fuzzy set theory, which both are a complementary generalization of set theory, they will be attended by potency in theoretical discussions. In this paper a definition for fuzzy Cayley subsets is put forward as well as fuzzy Cayley graphs of fuzzy subsets on groups inspired from the definition of Cayley graphs. We introduce rough approximation of a Cayley graph with respect to a fuzzy normal subgroup. We introduce the approximation rough fuzzy Cayley graphs and fuzzy rough fuzzy Cayley graphs. The last approximation is the mixture of the other approximations. Some theorems and properties are investigated and proved. | ru_RU |
| dc.identifier.citation | Shahzamanian M.H. Roughness in Fuzzy Cayley Graphs/ M.H. Shahzamanian, B . Davvaz// Bulletin o f the Karaganda University. Mathematics Series, No. 4(112), 2023, pp. 105-118 | ru_RU |
| dc.identifier.issn | 2663-5011 | |
| dc.identifier.uri | https://rep.buketov.edu.kz//handle/data/17956 | |
| dc.language.iso | other | ru_RU |
| dc.publisher | Karagandy University of the name of acad. E.A. Buketov | ru_RU |
| dc.relation.ispartofseries | Bulletin of the Karaganda University. Mathematics series.;№4(112) | |
| dc.subject | fuzzy subset | ru_RU |
| dc.subject | rough set | ru_RU |
| dc.subject | Cayley graph | ru_RU |
| dc.subject | fuzzy Cayley graph | ru_RU |
| dc.subject | lower and upper approximations | ru_RU |
| dc.title | Roughness in Fuzzy Cayley Graphs | ru_RU |
| dc.title.alternative | Дәл емес Кейли графтарындағы шамадан ауытқу | ru_RU |
| dc.title.alternative | Грубость в нечетких графах Кэли | ru_RU |
| dc.type | Article | ru_RU |