We give the definition of fuzzy $BCK$-filter
induced by a fuzzy set in a bounded $BCK$-algebra. We verify that
the family of fuzzy $BCK$-filters is a completely distributive
lattice. Using the $BCK$-filter $\langle U(\mu;\alpha)\rangle$ for
a given fuzzy set $\mu$, we construct the fuzzy $BCK$-filter
induced by $\mu$.