$$s_{p}-$$ s p - Closedness and $$s_{p}-$$ s p - convergent sequences in IFMS and its generalization to $${\mathscr {L}}$$ L -fuzzy metric space
2021
The aim of the present article is to introduce the concepts of $$s_{p}-$$
convergent sequence in generalized intuitionistic fuzzy metric spaces, i.e., $${\mathscr {L}}$$
-fuzzy metric spaces and analyze relations of convergence, $$s_{p}-$$
convergence,
$$s_{\infty }-$$
convergence and $$st-$$
convergence in $${\mathscr {L}}$$
-fuzzy metric spaces. Further, we examine $$s_{p}-$$
convergence, $$s_{\infty }-$$
convergence and $$st-$$
convergence using the subsequence of convergent sequence for above-stated spaces. We finally define $$s_{p}-$$
closed sets, $$s_{\infty }-$$
closed sets and $$st-$$
closed sets in intuitionistic fuzzy metric spaces and investigate relations of them.
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