  For classical links Ohyama proved an inequality involving the minimal
crossing number and the braid index, then motivated from this Takeda showed an
analogous inequality for virtual links. In this paper, we are interested in
studying properties of links independent of the type of crossings, and for this
reason, we introduce generalized crossings for diagrams and generalized
Reidemeister-type moves. The aim of this work is to prove the same type of
inequality mentioned above but now involving the total crossing number and the
braid index of generalized knots and links. In particular, we show that the
result holds for virtual singular links.
