Some properties of n-dimensional (∈_γ, ∈_γ, ∨_qδ)-fuzzy subalgebra in BRK-algebras

Abstract

The purpose of this paper is to initiate the concept of n-dimensional (∈γ, ∈γ, ∨qδ)-fuzzy subalgebra in BRK-algebra and investigate some of their related properties. We also show that the relationship between n-dimensional (∈γ, ∈γ, ∨qδ)-fuzzy subalgebra and the crisp subalgebra in BRK-algebra are discussed.

Fuzzy Translation and Fuzzy multiplication in BRK-algebras

“…In [2,3], Elgendy introduced fuzzy BRK-ideal of BRK-algebra and cubic BRK-ideal of BRKalgebra. Some properties of n-dimensional fuzzy subalgebra in BRK-algebras investigated by Zulfiqar [11]. Fuzzy translations and fuzzy multiplications of BCK/BCI-algebras presented in [8].…”