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Length and Mean Fuzzy UP-subalgebras of UP-algebras | ||
| Caspian Journal of Mathematical Sciences | ||
| مقاله 23، دوره 11، شماره 1، 2022، صفحه 264-303 اصل مقاله (161.81 K) | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2021.17121.1416 | ||
| نویسندگان | ||
| Narupon Tacha1؛ Phongsakon Phayapsiang1؛ Aiyared Iampan* 2 | ||
| 1Department of Mathematics, School of Science, University of Phayao, Phayao 56000, Thailand | ||
| 2Department of Mathematics, School of Science, University of Phayao, Thailand | ||
| تاریخ دریافت: 19 شهریور 1398، تاریخ پذیرش: 04 اردیبهشت 1400 | ||
| چکیده | ||
| The aim of this paper is to introduce the notions of the length and the mean of a hyper structure in UP-algebras. The notions of length fuzzy UP-subalgebras and mean fuzzy UP-subalgebras of UP-algebras are introduced, and related properties are investigated. Characterizations of length fuzzy UP-subalgebras and mean fuzzy UP-subalgebras are discussed. Relations between length fuzzy UP-subalgebras (resp., mean fuzzy UP-subalgebras) and hyperfuzzy UP-subalgebras are established. Moreover, we discuss the relationships among length fuzzy UP-subalgebras (resp., mean fuzzy UP-subalgebras) and upper level subsets, lower level subsets, and equal level subsets of the length (resp., mean) of a fuzzy structure in UP-algebras. | ||
| کلیدواژه‌ها | ||
| UP-algebra؛ length fuzzy UP-subalgebra؛ mean fuzzy UP-subalgebra؛ hyperfuzzy UP-subalgebra | ||
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آمار تعداد مشاهده مقاله: 456 تعداد دریافت فایل اصل مقاله: 225 |
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