Subalgebras of Sheffer stroke BCK-algebras illuminated by the new fuzzy set environment

For the purpose of dealing with the subalgebras of Sheer stroke BCK-algebras associated with the Formula: see text-fuzzy set, the concept of Formula: see text-fuzzy subalgebras in Sheffer stroke BCK-algebras is introduced and the properties involved are investigated. Conditions for creating a Formula: see text fuzzy subalgebra from a given fuzzy are explored. The relationship between fuzzy subalgebra and the Formula: see text fuzzy subalgebra is discussed, and conditions are given for the Formula: see text-fuzzy subalgebra to be a fuzzy subalgebra. The task of creating a new Formula: see text-fuzzy subalgebra is established using the given fuzzy subalgebra. Two types of level sets are created and the conditions under which they become subalgebras are explored.