Lacunary statistical convergence of order beta in difference sequences of fuzzy numbers

In this paper, we define the spaces $N_{\theta }^{\beta }\left( p,F,\Delta ^{m}\right) ,$ $S_{\theta }^{\beta }(F,{\mathrm{\Delta }}^m),$ $w_p^{\beta }(F,{\mathrm{\Delta }}^m)$ for sequences of fuzzy numbers using generalized difference operator ${\mathrm{\Delta }}^m$ and a lacunary sequence $\theta$ and give some relations between them, where $ \beta \in \left( 0,1\right] $and$p>0$. Furthermore, in the last section of paper, some inclusion theorems are presented related to the spaces $ S_{\theta }^{\beta }\left( F,\Delta ^{m}\right) $and$w_{p}^{\beta }\left( \theta ,f,F,\Delta ^{m}\right) $accordingtomodulusfunction$f$.