Ideal-Based Wijsman Convergence in Intuitionistic Fuzzy 2-Metric Frameworks

Résumé

Motivated by \cite{MDM09}'s notion of intuitionistic fuzzy 2-metric space (briefly, IF-2MS), we conduct a thorough investigation and analysis of Wijsman ideal convergence within an IF-2MS.This exploration provides a novel framework for assessing the convergence behavior of set sequences in 2-metric spaces. Additionally, we elucidate the relationship between Wijsman ideal Cauchy sequences and Wijsman ideal convergence within this innovative framework. Furthermore, we analyze $\mathcal{J}-$ limit points and $\mathcal{J}-$ cluster ponits, and establish the inclusion relationship between them in this context.