Fuzzy Totally Continuous Mappings based on Fuzzy αm-Open Sets in Sˇostak´s Sense

• Published in: International journal of applied and computational mathematics Vol. 10; no. 2
• Main Author: AL-Omeri, Wadei
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 2024; Springer Nature B.V
• Subjects: Applications of Mathematics; Computational Science and Engineering; Continuity (mathematics); Fuzzy sets; Mathematical and Computational Physics; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Nuclear Energy; Operations Research/Decision Theory; Original Paper; Theoretical; Topology; totally-continuous mapping; 03E72; Intuitionistic fuzzy topological spaces; ); Fuzzy; totally; 54A40; 45D05
• ISSN: 2349-5103; 2199-5796
• DOI: 10.1007/s40819-024-01710-y

In our present paper, the notion of fuzzy ( u ,  v )-totally-continuous functions, and each of fuzzy ( u ,  v )-totally α m -continuous mappings and fuzzy ( u ,  v )- α m totally continuous mappings with fuzzy ( u ,  v )- α m totally α m -continuous mapping has been introduced between intuitionistic fuzzy topological spaces in S ˇ o s t a 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.