FUZZY BCC-ALGEBRAS UNDER T-NORMS

In this paper, as using T-norms, we introduce and analyze the new classes of BCC-algebras as fuzzy subalgebras, fuzzy ideals, fuzzy left derivation ideals, fuzzy right derivationideals and fuzzy derivation ideals and we obtain the relationships between them and classicalconcepts of BCC-algebras such that every fuzzy subalgebras, fuzzy ideals, fuzzy left derivation ideals, fuzzy right derivation ideals and fuzzy derivation ideals will be subalgebras, ideals, left derivation ideals, right derivation ideals and derivation ideals of BCC-algebras, respectively.Next we investigate the intersection and direct product of them andprove the algebraic structures of them. Finally, we investigate image and pre-image of themunder homomorphisms of BCC-algebras.

کلیدواژه ها:

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