A note on double lacunary statistical σ-convergence of fuzzy numbers

Quite recently, Savas, (Appl Math Lett 21: 134141, 2008), defined the lacunary statistical analogue for double sequence X - {X-k,X-l} of fuzzy numbers as follows: a double sequence X = {X-k,X-l} is said to be lacunary P- statistically convergent to X0 provided that for each P - lim(r,s)1/h(r,s)vertical bar{(k, 1) is an element of I-r,I-s : d(X-k,X-l, X-0) >= epsilon}vertical bar = 0 In this paper we introduce and study double lacunary rstatistical convergence for sequence of fuzzy numbers and also we get some inclusion theorems.