  We introduce a new infinite family of enhancements of the biquandle homset
invariant called biquandle arrow weights. These invariants assign weights in an
abelian group to intersections of arrows in a Gauss diagram representing a
classical or virtual knot depending on the biquandle colors associated to the
arrows. We provide examples to show that the enhancements are nontrivial and
proper, i.e., not determined by the homset cardinality.
