Rasul Rasuli - Department of Mathematics, Payame Noor University, Tehran, Iran.

In this paper, we use the notion of t-norms to introduce fuzzy subalgebras, fuzzy ideals, fuzzy implicative ideals, fuzzy positive implicative ideals in BCK-algebras. Next, we clarify the links between them and investigate their properties. Finally, we consider them under intersection, cartesian product and homomorphisms(image and pre image) and we study related properties.

Algebra and orders, theory of fuzzy sets, Norms, products and intersections, homomorphisms