Classications of (${alpha},{eta}$)-fuzzy subalgebras of BCK/BCI-algebras are discussed. Relations between (${in},{in}{vee}q$)-fuzzy subalgebras and ($q,{in}{vee}q$)-fuzzy subalgebras are established. Given special sets, so called t-q-set and t-${in}{vee}q$-set, conditions for the t-q-set and t-${in}{vee}q$-set to be subalgebras are considered. The notions of $({in},q)^{max}$-fuzzy subalgebra, $(q,{in})^{max}$-fuzzy subalgebra and $(q,{in}{vee}q)^{max}$-fuzzy subalgebra are introduced. Conditions for a fuzzy set to be an $({in},q)^{max}$-fuzzy subalgebra, a $(q,{in})^{max}$-fuzzy subalgebra and a $(q,{in}{vee}q)^{max}$-fuzzy subalgebra are considered.