In this paper, by using the t-norm T and t-conorm S, we introduce the intuitionistic fuzzy bi-normed KU-ideals of a KU-algebra. Some properties of intuitionistic fuzzy bi-normed KU-ideals of a KU-algebra under the homomorphism are discussed. The direct product and the (T, S)-product of intuitionistic fuzzy bi-normed KU-ideals are particularly investigated. Some results obtained in this paper can be regarded as extended and generalized results recently given by S.M. Mostafa et al. concerning the intuitionistic fuzzy KU-ideals in KU-algebras.
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