A New Perspective on Deferred Statistical Convergence of Order $\alpha$ in Fuzzy Normed Linear Spaces

Abstract

In this paper, we present the concepts of deferred statistically convergent sequences and deferred statistically Cauchy sequences in a fuzzy normed linear space (FNS) under order $\alpha$. We derive essential properties of these sequences and explore their interdependencies. Additionally, we introduce the definitions of deferred statistical limit points and deferred statistical cluster points for sequences in FNS and examine their relationships in the Condition of order $\alpha$.