  Here we have studied on the ideas of $g_{\mu_i}$ and $\lambda_{\mu_i}$-closed
sets with respect to ${\mu_j}(i,j=1,2,i\not=j)$ and pairwise $ \lambda $-closed
sets in a generalized bitopological space $ (X,\mu_1, \mu_2) $. We have also
investigated the properties on some new separation axioms namely pairwise $
T_\frac{1}{4}$, pairwise $T_\frac{3}{8}$, pairwise $ T_\frac{5}{8} $ and have
established their mutual relations with pairwise $ T_0 $, pairwise $
T_\frac{1}{2} $ and pairwise $ T_1 $. We have also shown that under certain
conditions these axioms are equivalent.
