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$(3,2)$-fuzzy UP-subalgebras and $(3,2)$-fuzzy UP-filters | ||
| Journal of Mahani Mathematical Research | ||
| دوره 11، شماره 3 - شماره پیاپی 23، بهمن 2022، صفحه 1-14 اصل مقاله (453.15 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmrc.2022.18786.1191 | ||
| نویسندگان | ||
| Young Bae Jun* 1؛ B. Brundha2؛ N. Rajesh3؛ Ravikumar Bandaru4 | ||
| 1Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea | ||
| 2Department of Mathematics, Government Arts College for Women, Orathanadu-614625, Tamilnadu, India | ||
| 3Department of Mathematics, Rajah Serfoji Government College, affliated to Bharathdasan University, Thanjavur-613005, Tamilnadu, India | ||
| 4Department of Mathematics, GITAM, Deemed to be University, Hyderabad Campus, Telangana-502329, India | ||
| چکیده | ||
| The aim of this article is to apply a $(3,2)$-fuzzy set to the UP-subalgebras and UP-filters of UP-algebras. The concepts of $(3,2)$-fuzzy UP-subalgebra, $(3,2)$ -fuzzy near UP-filter and $(3,2)$ -fuzzy UP-filter in UP-algebras are introduced and several properties, including their relations, are investigated. The conditions under which the $(3,2)$-fuzzy UP-subalgebra $($resp., $(3,2)$ -fuzzy near UP-filter$)$ can be the $(3,2)$-fuzzy near UP-filter $($resp., $(3,2)$-fuzzy UP-filter$)$ are searched. The characterizations of $(3,2)$-fuzzy UP-filter is provided and the relationship between intuitionistic fuzzy UP-subalgebra and $(3,2)$-fuzzy UP-subalgebra is discussed. We use fuzzy UP-subalgebra $($resp., fuzzy near UP-filter, fuzzy UP-filter$)$ to create a $(3,2)$-fuzzy UP-subalgebra $($resp., $(3,2)$-fuzzy near UP-filter, $(3,2)$-fuzzy UP-filter$)$. | ||
| کلیدواژه‌ها | ||
| fuzzy UP-subalgebra؛ fuzzy near UP-filter؛ fuzzy UP-filter؛ intuitionistic fuzzy UP-subalgebra | ||
| مراجع | ||
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