  Oikawa defined an unknotting operation on virtual knots, called a CF-move,
and gave a classification of 2-component virtual links up to CF-moves by the
virtual linking number and his $n$-invariant. In particular, it was proved that
a CF-move characterizes the information contained in the virtual linking number
for 2-component odd virtual links. In this paper, we extend this result by
classifying odd virtual links and almost odd virtual links with arbitrary
number of components up to CF-moves, using the virtual linking number.
Moreover, we extend Oikawa's $n$-invariant and introduce two invariants for
3-component even virtual links. Using these invariants together with the
virtual linking number, we classify 3-component even virtual links up to
CF-moves. As a result, a classification of 3-component virtual links up to
CF-moves is provided.
