  In this paper, we study the ordering states with Tsallis relative
$\alpha$-entropies of coherence and $l_{1}$ norm of coherence for single-qubit
states. We show that any Tsallis relative $\alpha$-entropies of coherence and
$l_{1}$ norm of coherence give the same ordering for single-qubit pure states.
However, they don't generate the same ordering for some high dimensional pure
states, even though these states are pure. We also consider three special
Tsallis relative $\alpha$-entropies of coherence, such as $C_{1}$ ,$C_{2}$ and
$C_{\frac{1}{2}}$, and show any one of these three measures and $C_{l_{1}}$
will not generate the same ordering for single-qubit mixed states. Furthermore,
we find that any two of these three special measures generate different
ordering for single-qubit mixed states.
