Document Type : Original Article
Department of mathematics, Payame Noor University, P.O. Box 19395-4697, Tehran, Iran
Department Mathematics, Payame Noor University, Tehran, Iran.
Department of Mathematics, Technical and Vocational University(TVU), Yazd, Iran
Department of Mathematics, Ashtian Branch, Islamic Azad University, Iran
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 Autµ(X).