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.
Jun, Y. B. (2023). \L{}ukasiewicz fuzzy ideals in BCK-algebras and BCI-algebras. Journal of Algebra and Related Topics, 11(1), 1-14. doi: 10.22124/jart.2022.21963.1393
MLA
Y. B. Jun. "\L{}ukasiewicz fuzzy ideals in BCK-algebras and BCI-algebras". Journal of Algebra and Related Topics, 11, 1, 2023, 1-14. doi: 10.22124/jart.2022.21963.1393
HARVARD
Jun, Y. B. (2023). '\L{}ukasiewicz fuzzy ideals in BCK-algebras and BCI-algebras', Journal of Algebra and Related Topics, 11(1), pp. 1-14. doi: 10.22124/jart.2022.21963.1393
VANCOUVER
Jun, Y. B. \L{}ukasiewicz fuzzy ideals in BCK-algebras and BCI-algebras. Journal of Algebra and Related Topics, 2023; 11(1): 1-14. doi: 10.22124/jart.2022.21963.1393
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