  The inflationary paradigm provides a mechanism to generate the primordial
perturbations needed to explain the observed large scale structures in the
universe. Inflation traces back all the inhomogeneities to quantum fluctuations
although the structures look classical today. Squeezing of primordial quantum
fluctuations along with the mechanism of decoherence accounts for many aspects
of this quantum to classical transition, although it remains a matter of debate
as to whether this is sufficient to explain the issue of realization of a
single outcome (i.e. the issue of macro-objectification) from a quantum
ensemble given that the universe is a closed system. A similar question of
emergence of classical behavior of macroscopic objects exists also for
laboratory systems and apart from decoherence there have been attempts to
resolve this issue through Continuous Spontaneous Localization (CSL), which is
a stochastic nonlinear modification of the non-relativistic Schr\"{o}dinger
equation. Recently, Martin {\it et al.} have investigated whether a CSL-like
mechanism with a constant strength parameter, when the Mukhanov-Sasaki variable
is taken as the "collapse-operator", can explain how the primordial quantum
perturbations generated during inflation become classical. Within the scope of
their assumptions they essentially come to a negative conclusion. In the
present work, we generalize their analysis by allowing the CSL strength
parameter to depend on physical scales so as to capture the CSL amplification
mechanism. We show that such a generalization provides a mechanism for
macro-objectification (i.e. classicalization) of the inflationary quantum
perturbations, while also preserving scale invariance of the power spectrum and
phase coherence of super-horizon perturbation modes in a particular class of
these models.
