on lacunary statistical limit and cluster points of sequences of fuzzy numbers

for any lacunary sequence $theta = (k_{r})$, we define the concepts of $s_{theta}-$limit point and $s_{theta}-$cluster point of a sequence of fuzzy numbers $x = (x_{k})$. we introduce the new sets  $lambda^{f}_{s_{theta}}(x)$, $gamma^{f}_{s_{theta}}(x)$ and prove some inclusion relaions between these and the sets $lambda^{f}_{s}(x)$, $gamma^{f}_{s}(x)$ introduced in ~cite{ayt:slpsfn} by aytar [s. aytar, statistical limit points of sequences of fuzzy numbers, inform. sci. 165 (2004) 129-138]. later, we find restriction on the lacunary sequence  $theta = (k_{r})$ for which the sets $lambda^{f}_{s_{theta}}(x)$ and $gamma^{f}_{s_{theta}}(x)$ respectively coincides with the sets $lambda^{f}_{s}(x)$ and $gamma^{f}_{s}(x)$.