Geodesic
Łukasiewicz Anti Fuzzy Subalgebras of BCK/BCI-Algebras
Kragujevac Journal of Mathematics, Tome 49 (2025) no. 5, p. 687

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The subalgebra of BCK/BCI-algebra using Łukasiewicz anti fuzzy set introduced by Jun is studied in this article. The concept of Łukasiewicz anti fuzzy subalgebra of a BCK/BCI-algebra is introduced, and several properties are investigated. The relationship between anti fuzzy subalgebra and Łukasiewicz anti fuzzy subalgebra is given, and characterization of a Łukasiewicz anti fuzzy subalgebra is discussed. Conditions are found in which a Lukasiewicz anti fuzzy set is a Lukasiewicz anti fuzzy subalgebra Finally, conditions under which $\lessdot$-subset, $\Upsilon$-subset, and anti-subset become subalgebra are explored.
Classification : 03G25, 06F35, 08A72
Keywords: anti fuzzy subalgebra, Łukasiewicz anti fuzzy set, Łukasiewicz anti fuzzy subalgebra, $\lessdot$-subset, ϒ-subset, anti subset. 
Jeong Gi Kang; Hashem Bordbar. Łukasiewicz Anti Fuzzy Subalgebras of BCK/BCI-Algebras. Kragujevac Journal of Mathematics, Tome 49 (2025) no. 5, p. 687 . http://geodesic.mathdoc.fr/item/KJM_2025_49_5_a2/
@article{KJM_2025_49_5_a2,
     author = {Jeong Gi Kang and Hashem Bordbar},
     title = {{\L}ukasiewicz {Anti} {Fuzzy} {Subalgebras} of {BCK/BCI-Algebras}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {687 },
     year = {2025},
     volume = {49},
     number = {5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2025_49_5_a2/}
}
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