Title of article :
On the equivalence of sequences dependent on fuzzy ideals in the BCI-algebra
Author/Authors :
Mirvakili ، S. Department of mathematics - Payame Noor University , Naraghi ، H. Department Mathematics - Payame Noor University , Dehghanizadeh ، M.A. Department of Mathematics - Technical and Vocational University (TVU) , Naraghi ، H. Department of Mathematics - Islamic Azad University, Ashtian Branch
Abstract :
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).
Keywords :
Fuzzy ideal , fuzzy p , ideal , BCI , algebra , equivalent , automorphism
Journal title :
Journal of Algebraic Hyperstructures and Logical Algebras
Journal title :
Journal of Algebraic Hyperstructures and Logical Algebras
