  This article will discussing on $\frac{1}{2}$-derivations of quasi-filiform
Lie algebras of maximum length. The non-trivial transposed Poisson algebras
with the quasi-filiform Lie algebras of maximum length are constructed by using
$\frac{1}{2}$-derivations of Lie algebras. We have established commutative
associative multiplication to construct a transposed Poisson algebra with an
associated given Lie algebra.
