Abstract
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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