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
From page
65
To page
73
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
Record number
2736116
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