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\L{}ukasiewicz fuzzy ideals in BCK-algebras and BCI-algebras | ||
| Journal of Algebra and Related Topics | ||
| دوره 11، شماره 1، شهریور 2023، صفحه 1-14 اصل مقاله (289.78 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2022.21963.1393 | ||
| نویسنده | ||
| Y. B. Jun | ||
| Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea | ||
| چکیده | ||
| The notion of (closed) \L{}ukasiewicz fuzzy ideal is introduced, and several properties are investigated. The relationship between \L{}ukasiewicz fuzzy subalgebra and \L{}ukasiewicz fuzzy ideal is discussed, and characterization of a \L{}ukasiewicz fuzzy ideal is considered. Conditions for a \L{}ukasiewicz fuzzy subalgebra to be a \L{}ukasiewicz fuzzy ideal are provided, and conditions for the $\in$-set, $q$-set and $O$-set to be ideals are explored. | ||
| کلیدواژه‌ها | ||
| \L{}ukasiewicz fuzzy set؛ (strong) \L{}ukasiewicz fuzzy subalgebra؛ (closed) \L{}ukasiewicz fuzzy ideal؛ $q$-set؛ $O$-set | ||
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آمار تعداد مشاهده مقاله: 184 تعداد دریافت فایل اصل مقاله: 378 |
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