  We introduce the notion of continuous controlled g-fusion frame in Hilbert
space which is the generalization of discrete controlled g-fusion frame and
give an example. Some characterizations of continuous controlled g-fusion frame
have been presented. We define the frame operator and multiplier of continuous
controlled g-fusion Bessel families in Hilbert spaces. Continuous resolution of
the identity operator on a Hilbert space using the theory of continuous
controlled g-fusion frame is being considered. Finally, we discuss perturbation
results of continuous controlled g-fusion frame.
