Completeness of fuzzy normed linear space of all weakly fuzzy bounded linear operators

In this note, it is proved that the fuzzy normed linear space B ( X , Y ) of all weakly fuzzy bounded linear operators defined from a Felbinʹs type fuzzy normed linear space X to a Felbinʹs type fuzzy normed space Y is complete when Y is complete, and that Y is complete when B ( X , Y ) is complete with some mild conditions on X.