  In this study, we define new paranormed sequence spaces by the sequences of
Fibonacci numbers. Furthermore, we compute the $\alpha-,\beta-$ and $\gamma-$
duals and obtain bases for these sequence spaces. Besides this, we characterize
the matrix transformations from the new paranormed sequence spaces to the
Maddox's spaces $c_{0}(q),c(q),\ell(q)$ and $\ell_{\infty}(q)$.
