FUZZY BCC-ALGEBRAS UNDER T-NORMS

Document Type : Original Article

Author
Rasul Rasuli
Department of Mathematics, Payame Noor University (PNU), P. O. Box 19395-3697, Tehran, Iran.
10.22034/maco.5.2.7
Abstract
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 derivation
ideals and fuzzy derivation ideals and we obtain the relationships between them and classical
concepts 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 and
prove the algebraic structures of them. Finally, we investigate image and pre-image of them
under homomorphisms of BCC-algebras.

Keywords

Subjects

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Mathematical Analysis and Convex Optimization
Volume 5, Issue 2
December 2025