On generalized statistical convergence of order β of sequences of fuzzy numbers

Abstract

In this article we introduce the concepts of $\Delta_{\lambda}^{m}-$statistical convergence of order β and strong $\Delta_{\lambda_{p}}^{m}-$summability of order β for sequences of fuzzy numbers. Also, we establish some relations between the $\Delta_{\lambda}^{m}-$statistical convergence of order β and strong $\Delta_{\lambda_{p}}^{m}-$summability of order β and we define $w_{\lambda}^{\beta}\left\Delta^{m},\mathcal{F},f,p\right$, where $f$ is a modulus function and give some inclusion relations.