  In the paper we introduce a general approach how for a given virtual
biquandle multi-switch $(S,V)$ on an algebraic system $X$ (from some category)
and a given virtual link $L$ construct an algebraic system $X_{S,V}(L)$ (from
the same category) which is an invariant of $L$. As a corollary we introduce a
new quandle invariant for virtual links which generalizes previously known
quandle invariants for virtual links.

Algebraic Topology;Group Theory;Geometric Topology