TY - JOUR ID - 161670 TI - On the equivalence of sequences dependent on fuzzy ideals in the BCI-algebra JO - Journal of Algebraic Hyperstructures and Logical Algebras JA - JAHLA LA - en SN - 2676-6000 AU - Mirvakili, S. AU - Naraghi, H. AU - Dehghanizadeh, M.A. AU - Naraghi, H. AD - Department of mathematics, Payame Noor University, P.O. Box 19395-4697, Tehran, Iran AD - Department Mathematics, Payame Noor University, Tehran, Iran. AD - Department of Mathematics, Technical and Vocational University(TVU), Yazd, Iran AD - Department of Mathematics, Ashtian Branch, Islamic Azad University, Iran Y1 - 2022 PY - 2022 VL - 3 IS - 4 SP - 65 EP - 73 KW - Fuzzy ideal KW - fuzzy p-ideal KW - BCI-algebra KW - equivalent KW - automorphism DO - 10.52547/HATEF.JAHLA.3.4.5 N2 - Murali and Makamba (2001) introduced an equivalence of fuzzy subgroups. Dudek and Jun (2004) studied the equivalence defined by Murali and Makamba in fuzzy ideals of a BCI-algebra. In this paper, we obtained a sequence of fuzzy ideals of a BCI-algebra X from a fuzzy ideal on X. We will show that, if two fuzzy ideals are equivalent, then the sequence of fuzzy ideals obtained from them are equivalent. We show that there is a relationship between a fuzzy ideal with BCI-algebra X and a fuzzy ideal with adjoint BCI-algebra A, where A is an Abelian subgroup of AutĀµ(X). UR - https://jahla.hatef.ac.ir/article_161670.html L1 - https://jahla.hatef.ac.ir/article_161670_809020703b59e19f5f3d5f3f5616c9f9.pdf ER -