  We introduce the concept of theta-antieigenvalue and theta-antieigenvector of
a bounded linear operator on complex Hilbert space. We study the relation
between theta-antieigenvalue and centre of mass of a bounded linear operator
and compute antieigenvalue using the relation. This follows the notion of
symmetric antieigenvalues introduced by Hossein et al. in \cite{19}. We show
that the concept of real antieigenvalue, imaginary antieigenvalue and symmetric
antieigenvalue follows as a special case of theta-antieigenvalue. We also show
how the concept of total antieigenvalue is related to the
$\theta$-antieigenvalue. In fact, we show that all the concepts of
antieigenvalues studied so far follows from the concept of
theta-antieigenvalue. We illustrate with example how to calculate the
$\theta$-antieigenvalue for an operator acting on a finite dimensional Hilbert
space.
