Abstract

In this paper, using \(t\)-norm \(T\), the notion of (imaginable) \(T\)-fuzzy subalgebras and (imaginable) \(T\)-fuzzy closed ideals of \(BG\)-algebras are introduced and investigated their related results. Relationship between an imaginable \(T\)-fuzzy subalgebra and an imaginable \(T\)-fuzzy closed ideal are given. The direct product and \(T\)-product of \(T\)-fuzzy subalgebras of \(BG\)-algebras are discussed.

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