Abstract:
As an extension of the lacunary statistical convergent sequence space of fuzzy numbers,some sequence spaces of fuzzy numbers,F(M,θ,p),F0(M,θ,p) and F∞(M,θ,p) based on Orlicz functions and strongly lacunary convergence are defined and discussed.It is shown that the spaces are linear spaces.In addition,the relationships of them are investigated by means of the discussion of strongly lacunary convergence,lacunary statistical convergence and strong convergence for the sequence of fuzzy numbers.