  In this paper, we extend the notions of statistically convergence of order
$\beta $ and strong Ces\`{a}ro summability of order $\beta ,$ and introduce the
notions $f-$statistically convergence of order $\beta $ and strong Ces\`{a}ro
summability of order $\beta $ for $\beta \in \left( 0,1\right] $ with respect
to an unbounded modulus function $f$ for sequences of fuzzy numbers and give
some inclusion theorems.
