  Here we have introduced the ideas of $ (j-i)sg_\kappa^*$-closed sets and a
semi generalized closed set in a bispace; $ i,j=1,2; i\not=j $ and then have
studied on pairwise semi $T_0 $-axiom, pairwise semi $T_1 $-axiom and pairwise
semi $T_\omega $-axiom. We have investigated some of their topological
properties and also established a relation among these axioms under some
additional conditions.
