  In this paper, we build on the biquasiles and dual graph diagrams introduced
in arXiv:1610.06969. We introduce \textit{biquasile Boltzmann weights} that
enhance the previous knot coloring invariant defined in terms of finite
biquasiles and provide examples differentiating links with the same counting
invariant, demonstrating that the enhancement is proper. We identify conditions
for a linear function $\phi:\mathbb{Z}_n[X^3]\to\mathbb{Z}_n$ to be a Boltzmann
weight for an Alexander biquasile $X$.
