Quite recently, Sava? (Appl Math Lett 21:134–141,
2008), defined the lacunary statistical analogue for double sequence
\(X=\{X_{k,l}\}\) of fuzzy numbers as follows: a double sequence
\(X=\{X_{k,l}\}\) is said to be lacunary P-statistically convergent to
\(X_{0}\) provided that for each
\(\epsilon >0\) $ P-\lim_{r,s}\frac{1}{h_{r,s}}\left | \{(k,l)\in I_{r,s}: d(X_{k,l },X_0)\geq \epsilon\}\right|= 0. $
In this paper we introduce and study double lacunary
\(\sigma\)-statistical convergence for sequence of fuzzy numbers and also we get some inclusion theorems.