Ideal Statistically Pre-Cauchy Triple Sequences of Fuzzy Number and Orlicz Functions

Abstract

In this paper, we extend the notions of ideal statistically convergence for sequence of fuzzy number. We introduce the notions ideal statistically pre-Cauchy triple sequences of fuzzy number about Orlicz function, and give some correlation theorem. It is shown that x = { x ijk } is ideal statistically pre-Cauchy if and only if D ( x ijk , x pqr ) ≥ ε , i ≤ m , j ≤ n , t ≤ k }| ≥ δ } ∈ I . At the same time, we have proved x = { x ijk } is ideal statistically convergent to x 0 if and only if . Also, some properties of these new sequence spaces are investigated.