Applications of deferred Cesàro statistical convergence of sequences of fuzzy numbers of order (ξ, ω)

Author:

Sharma Sonali1,Singh Uday Pratap1,Raj Kuldip1

Affiliation:

1. School of Mathematics, Shri Mata Vaishno Devi University, Katra, Jammu and Kashmir, India

Abstract

The purpose of this article is to study deferred Cesrào statistical convergence of order (ξ, ω) associated with a modulus function involving the concept of difference sequences of fuzzy numbers. The study reveals that the statistical convergence of these newly formed sequence spaces behave well for ξ ≤ ω and convergence is not possible for ξ > ω. We also define p-deferred Cesàro summability and establish several interesting results. In addition, we provide some examples which explain the validity of the theoretical results and the effectiveness of constructed sequence spaces. Finally, with the help of MATLAB software, we examine that if the sequence of fuzzy numbers is bounded and deferred Cesàro statistical convergent of order (ξ, ω) in (Δ, F, f), then it need not be strongly p-deferred Cesàro summable of order (ξ, ω) in general for 0 < ξ ≤ ω ≤ 1.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

Reference39 articles.

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3. Statistical convergence of order β for generalized difference sequences of fuzzy numbers;Altinok;Journal of Intelligent & Fuzzy Systems,2014

4. Statistical convergence of order (β, γ) for sequences of fuzzy numbers;Altinok;Soft Computing,2019

5. (Δm ; f)-statistical convergence for sequences of fuzzy numbers;Altinok;Journal of Intelligent & Fuzzy Systems,2019

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