TY - JOUR ID - 150122 TI - Lukasiewicz fuzzy positive implicative ideals in BCK-algebras JO - Journal of Algebraic Hyperstructures and Logical Algebras JA - JAHLA LA - en SN - 2676-6000 AU - Song, S.Z. AU - Jun, Y.B. AD - Department of Mathematics, Jeju National University, Jeju 63243, Korea AD - Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea Y1 - 2022 PY - 2022 VL - 3 IS - 2 SP - 47 EP - 58 KW - Lukasiewicz fuzzy set KW - Lukasiewicz fuzzy ideal KW - Lukasiewicz fuzzy positive implicative KW - ∈-set KW - q-set KW - O-set DO - 10.52547/HATEF.JAHLA.3.2.4 N2 - In BCK-algebras, the notion of Lukasiewicz fuzzy positive implicative ideal is introduced, and several properties are investigated. The relationship between Lukasiewicz fuzzy ideal and Lukasiewicz fuzzy positive implicative ideal is discussed, and characterizations of a Lukasiewicz fuzzy positive implicative ideal are considered. Conditions for a Lukasiewicz fuzzy ideal to be a Lukasiewicz fuzzy positive implicative ideal are provided, and conditions for the ∈-set, q-set and O-set to be positive implicative ideals are explored. UR - https://jahla.hatef.ac.ir/article_150122.html L1 - https://jahla.hatef.ac.ir/article_150122_eadb1f3dcf4b30891d379b2d9818721b.pdf ER -