An Investigation on μ-Deferred Triple Ideal Statistically Convergent Sequences in Credibility Space

Abstract

The primary objective of this paper is to explore various forms of deferred convergence for triple sequences of fuzzy variables (FV), incorporating the concepts of ideal convergence and mu -density. We also establish a number of instances to illustrate our definitions. In this study, we also present important findings that reveal the connections between these definitions. The if and only if condition for the mu -deferred Z(3)-statistically pre-Cauchy (pCa) triple sequence of FV is also examined. Significance of the work in broad context: Summability theory and the convergence of sequences have numerous applications in mathematical analysis. However, the exploration of sequence convergence in credibility space is still in its early stages with limited progress. This paper contributes to the field by introducing the concept of mu -deferred Z3-statistical convergence for sequences in credibility space. This novel approach opens up a new direction for researchers in the field.