Fermatean Fuzzy α-Homeomorphism in Fermatean Fuzzy Topological Spaces
A relatively new development in fuzzy set theory, Fermatean fuzzy sets (FFSs) were developed for working with higher-level, uncertain data. They provide an even more robust structure for characterizing degree of membership and degree of non-membership, extending on the notions of Pythagorean fuzzy s...
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| Format: | Article |
| Language: | English |
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University of New Mexico
2024-11-01
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| Series: | Neutrosophic Sets and Systems |
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| Online Access: | https://fs.unm.edu/NSS/18Aruchsamy_Fermatean.pdf |
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| author | Revathy Aruchsamy Inthumathi Velusamy |
| author_facet | Revathy Aruchsamy Inthumathi Velusamy |
| author_sort | Revathy Aruchsamy |
| collection | DOAJ |
| description | A relatively new development in fuzzy set theory, Fermatean fuzzy sets (FFSs) were developed for working with higher-level, uncertain data. They provide an even more robust structure for characterizing degree of membership and degree of non-membership, extending on the notions of Pythagorean fuzzy sets (PFSs) and Intuitionistic fuzzy sets (IFSs). There are multiple fields of mathematics and applications that depend extensively on topological generalization of open sets. Topological spaces can be described and analyzed with the aid of homeomorphisms, which provide an empirical way to identify whether two spaces are identical in a topological sense with respect to their essential features. In this study we introduce and investigate the concept of FF α-irresolute, FF α open and clossed mapping, FF α-homeomorphism and, FF α∗-homeomorphism. |
| format | Article |
| id | doaj-art-f64b8a2925e04edca6884bebf40d19fb |
| institution | Kabale University |
| issn | 2331-6055 2331-608X |
| language | English |
| publishDate | 2024-11-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj-art-f64b8a2925e04edca6884bebf40d19fb2025-08-22T12:33:45ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2024-11-017319120510.5281/zenodo.13989177Fermatean Fuzzy α-Homeomorphism in Fermatean Fuzzy Topological SpacesRevathy AruchsamyInthumathi VelusamyA relatively new development in fuzzy set theory, Fermatean fuzzy sets (FFSs) were developed for working with higher-level, uncertain data. They provide an even more robust structure for characterizing degree of membership and degree of non-membership, extending on the notions of Pythagorean fuzzy sets (PFSs) and Intuitionistic fuzzy sets (IFSs). There are multiple fields of mathematics and applications that depend extensively on topological generalization of open sets. Topological spaces can be described and analyzed with the aid of homeomorphisms, which provide an empirical way to identify whether two spaces are identical in a topological sense with respect to their essential features. In this study we introduce and investigate the concept of FF α-irresolute, FF α open and clossed mapping, FF α-homeomorphism and, FF α∗-homeomorphism.https://fs.unm.edu/NSS/18Aruchsamy_Fermatean.pdfff α-open setsff α-contiunityff α-irresoluteff α-homeomorphismff α∗- homeomorphism |
| spellingShingle | Revathy Aruchsamy Inthumathi Velusamy Fermatean Fuzzy α-Homeomorphism in Fermatean Fuzzy Topological Spaces Neutrosophic Sets and Systems ff α-open sets ff α-contiunity ff α-irresolute ff α-homeomorphism ff α∗- homeomorphism |
| title | Fermatean Fuzzy α-Homeomorphism in Fermatean Fuzzy Topological Spaces |
| title_full | Fermatean Fuzzy α-Homeomorphism in Fermatean Fuzzy Topological Spaces |
| title_fullStr | Fermatean Fuzzy α-Homeomorphism in Fermatean Fuzzy Topological Spaces |
| title_full_unstemmed | Fermatean Fuzzy α-Homeomorphism in Fermatean Fuzzy Topological Spaces |
| title_short | Fermatean Fuzzy α-Homeomorphism in Fermatean Fuzzy Topological Spaces |
| title_sort | fermatean fuzzy α homeomorphism in fermatean fuzzy topological spaces |
| topic | ff α-open sets ff α-contiunity ff α-irresolute ff α-homeomorphism ff α∗- homeomorphism |
| url | https://fs.unm.edu/NSS/18Aruchsamy_Fermatean.pdf |
| work_keys_str_mv | AT revathyaruchsamy fermateanfuzzyahomeomorphisminfermateanfuzzytopologicalspaces AT inthumathivelusamy fermateanfuzzyahomeomorphisminfermateanfuzzytopologicalspaces |