In the present work, we study and extend the notion of Wijsman
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–convergence and Wijsman
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–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
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∗
–Cauchy and
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–Cauchy sequence in the intuitionistic fuzzy metric space and observe some properties.