  The problem of ordering of two-qubit states imposed by relative entropy of
entanglement (E) in comparison to concurrence (C) and negativity (N) is
studied. Analytical examples of states consistently and inconsistently ordered
by the entanglement measures are given. In particular, the states for which any
of the three measures imposes order opposite to that given by the other two
measures are described. Moreover, examples are given of pairs of the states,
for which (i) N'=N'' and C'=C'' but E' is different from E'', (ii) N'=N'' and
E'=E'' but C' differs from C'', (iii) E'=E'', N'<N'' and C'>C'', or (iv) states
having the same E, C, and N but still violating the
Bell-Clauser-Horne-Shimony-Holt inequality to different degrees.
