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

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Abstract

In our present paper, the notion of fuzzy (u, v)-totally-continuous functions, and each of fuzzy (u, v)-totally \(\alpha ^m\)-continuous mappings and fuzzy (u, v)-\(\alpha ^m\) totally continuous mappings with fuzzy (u, v)-\(\alpha ^m\) totally \(\alpha ^m\)-continuous mapping has been introduced between intuitionistic fuzzy topological spaces in \(\check{S}osta\acute{k}s\) 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.

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Acknowledgements

The authors wish to gratefully acknowledge all those who have generously given their time to referee our paper.

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  1. Department of Mathematics, Faculty of Science and Information Technology, Jadara University, Irbid, Jordan

    Wadei AL-Omeri

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  1. Wadei AL-Omeri
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Correspondence to Wadei AL-Omeri.

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AL-Omeri, W. Fuzzy Totally Continuous Mappings based on Fuzzy \(\alpha ^m\)-Open Sets in \(\check{S}osta\acute{k}s\) Sense. Int. J. Appl. Comput. Math 10, 73 (2024). https://doi.org/10.1007/s40819-024-01710-y

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