Kyoung Ja Lee and Young Bae Jun Hannam University, Gyeongsang National University
Abstract : The notion of bipolar fuzzy $a$-ideals of BCI-algebras is introduced, and their properties are investigated. Relations between bipolar fuzzy subalgebras, bipolar fuzzy ideals and bipolar fuzzy $a$-ideals are discussed. Conditions for a bipolar fuzzy ideal to be a bipolar fuzzy $a$-ideal are provided. Characterizations of bipolar fuzzy $a$-ideals are given. Using a finite collection of $a$-ideals, a bipolar fuzzy $a$-ideal is established.