Fuzzy Totally Continuous Mappings based on Fuzzy \(\alpha ^m\)-Open Sets in \(\check{S}osta\acute{k}s\) Sense

In our present paper, the notion of fuzzy (u, v)-totally-continuous functions, and each of fuzzy (u, v)-totally \(\alpha ^m\) ${\alpha }^m$ -continuous mappings and fuzzy (u, v)- \(\alpha ^m\) ${\alpha }^m$ totally continuous mappings with fuzzy (u, v)- \(\alpha ^m\) ${\alpha }^m$ totally \(\alpha ^m\) ${\alpha }^m$ -continuous mapping has been introduced between intuitionistic fuzzy topological spaces in \(\check{S}osta\acute{k}s\) $\check{S}osta\acute{k}s$ sense. Their new characterizations, simple examples, and relationships with other notions of fuzzy (u, v)-continuous mappings in this space have been provided and compared.