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- Title
T-fuzzy subalgebras of BCI-algebras.
- Authors
Rasuli, R.
- Abstract
In this study, we construct a model for fuzzy subalgebras, fuzzy ideals and fuzzy positive implicative ideals of BCI -algebra X under t -norm T and we investigate the relationships between them and fuzzy subalgebras, fuzzy ideals and fuzzy positive implicative ideals of BC I-algebra. In the Second step we define the intersection and direct product of them such that we prove that the intersection and direct product of them will be also fuzzy ideals and fuzzy positive implicative ideals of BCI - algebra X under t-norm T and we make a theoretical study their basic properties of them. Final ly, we investigate the image and pre image of them under homomorphisms of BCI - algebras and we obtain some results about them.
- Subjects
TRIANGULAR norms; ALGEBRA; SET theory; FUZZY sets; HOMOMORPHISMS
- Publication
International Journal of Open Problems in Computer Science & Mathematics, 2023, Vol 16, Issue 2, p83
- ISSN
1998-6262
- Publication type
Article