Ideals and filters in CI-algebras based on bipolar-valued fuzzy sets

The notions of bipolar fuzzy CI-subalgebras, bipolar fuzzy ideals and (closed) bipolar fuzzy filters in CI-algebras are introduced, and related properties are investigated. Characterizations of a bipolar fuzzy ideal and a (closed) bipolar fuzzy filter in CI-algebras are established. Relations between a bipolar fuzzy CI-subalgebra and a (closed) bipolar fuzzy filter are discussed, and conditions for a bipolar fuzzy CI-subalgebra to be a (closed) bipolar fuzzy filter are provided. 2010 AMS Classification: 06F35, 03G25, 08A72