OICC Press Mathematical Analysis and its Contemporary Applications 4 3 2022 04 01 Intuitionistic fuzzy BCI-algebras (implicative ideals, closed implicative ideals, commutative ideals) under norms 10.30495/maca.2022.1947637.1041 EN Rasul Rasuli Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-3697, Tehran, Iran Journal Article 2022 04 01 In this article, by using norms (T and C), we present the concept of intuitionistic fuzzy implicative ideals, intuitionistic fuzzy closed implicative ideals and intuitionistic fuzzy commutative ideals of BCI-algebras. Some interesting results of them are given. Characterisations of implicative ideals, closed implicative ideals and commutative ideals of BCI-algebras by using them are explored. By using intersections, direct products and homomorphisms, some interesting results are obtained.