  This research explores the correlation between the absolute magnitude and the
redshift of Type Ia supernovae (SNe Ia) with a model-independent approach. The
Pantheon sample of SNe Ia and strong gravitational lensing systems (SGLS) are
used. With the cosmic distance-duality relation (CDDR), the evolution parameter
of the magnitude, the light curve parameters of SNe Ia, and the parameters of
the SGLS geometric model are constrained simultaneously. Considering the
consistency of the redshifts, we selected a subsample of SNe Ia in which the
redshift of each SNe Ia is close to the corresponding redshift of the SGLS
sample. Two parametric models are used to describe this evolution, which can be
written as $\delta_M=\varepsilon z$ and $\delta_M=\varepsilon\log(1+z)$,
respectively. Our analysis reveals that $\varepsilon=-0.036^{+0.357}_{-0.339}$
in the first parametric model and $\varepsilon=-0.014^{+0.588}_{-0.630}$ in the
second model, indicating that no significant evolution ($\varepsilon=0$) is
supported at the 1$\sigma$ confidence level in this study. These results
represent a significant advancement in our understanding of the intrinsic
properties of SNe Ia and provide important constraints for future SNe Ia study.
