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.