A Generalization of Semidetached Subalgebras in BCK∕BCI-algebras

Generalization of the paper [Y. B. Jun and S. Z. Song, Semidetached subalgebras in [Formula: see text]-algebras, to appear in Bulletin of the Korean Mathematical Society] is discussed. Several conditions for a semidetached structure in [Formula: see text]-algebras to be a semidetached subalgebra are provided. The concepts of ([Formula: see text])-fuzzy subalgebra, [Formula: see text]-left ([Formula: see text]-right) [Formula: see text]-fuzzy subalgebra, ([Formula: see text])-fuzzy subalgebra and ([Formula: see text])-fuzzy subalgebra are introduced, and relative relations and properties are discussed.