TITLE:
Ideal Statistically Pre-Cauchy Triple Sequences of Fuzzy Number and Orlicz Functions
AUTHORS:
Xue Feng
KEYWORDS:
Fuzzy Numbers, Ideal Statistical Convergence, Orlicz Functions
JOURNAL NAME:
Applied Mathematics,
Vol.12 No.9,
September
3,
2021
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 = {xijk} is ideal statistically pre-Cauchy if and only if D (xijk, xpqr) ≥ ε, i ≤ m, j ≤ n, t ≤ k}| ≥ δ} ∈ I. At the same time, we have proved x = {xijk} is ideal statistically convergent to x0 if and only if . Also, some properties of these new sequence spaces are investigated.