Tripathy, B.C. and Baruah, A. (2010) Lacunary Statistically Convergent and Lacunary Strongly Convergent Generalized Difference Sequences of Fuzzy Real Numbers. Kyungpook Mathematical Journal, 50, 565-574.
https://doi.org/10.5666/KMJ.2010.50.4.565

has been cited by the following article:

• 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.