Document Type : Original Article


Department of Mathematics, Payame Noor University, Tehran, Iran.


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.