t-norms over fuzzy ideals (implicative, positive implicative) of BCK-algebras

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.

کلیدواژه ها:

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