Some Results on Wijsman Ideal Convergence in Intuitionistic Fuzzy Metric Spaces

Abstract

In the present work, we study and extend the notion of Wijsman $\mathcal{J}$ –convergence and Wijsman ${\mathcal{J}}^{\ast }$ –convergence for the sequence of closed sets in a more general setting, i.e., in the intuitionistic fuzzy metric spaces (briefly, IFMS). Furthermore, we also examine the concept of Wijsman ${\mathcal{J}}^{\ast }$ –Cauchy and $\mathcal{J}$ –Cauchy sequence in the intuitionistic fuzzy metric space and observe some properties.