%0 Journal Article %T On the equivalence of sequences dependent on fuzzy ideals in the BCI-algebra %J Journal of Algebraic Hyperstructures and Logical Algebras %I University of Hatef (Hatef College University) %Z 2676-6000 %A Mirvakili, S. %A Naraghi, H. %A Dehghanizadeh, M.A. %A Naraghi, H. %D 2022 %\ 11/01/2022 %V 3 %N 4 %P 65-73 %! On the equivalence of sequences dependent on fuzzy ideals in the BCI-algebra %K Fuzzy ideal %K fuzzy p-ideal %K BCI-algebra %K equivalent %K automorphism %R 10.52547/HATEF.JAHLA.3.4.5 %X 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). %U https://jahla.hatef.ac.ir/article_161670_809020703b59e19f5f3d5f3f5616c9f9.pdf