Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2011; 26(4): 531-542

Printed December 1, 2011

https://doi.org/10.4134/CKMS.2011.26.4.531

Copyright © The Korean Mathematical Society.

Bipolar fuzzy $a$-ideals of BCI-algebras

Kyoung Ja Lee and Young Bae Jun

Hannam University, Gyeongsang National University

Abstract

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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.

Keywords: bipolar fuzzy subalgebra, bipolar fuzzy ideal, bipolar fuzzy $a$-ideal

MSC numbers: 06F35, 03G25, 08A72

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