New operations on cubic intuitionistic fuzzy sets under P–order
Cubic intuitionistic fuzzy sets have the efficiency to handle hybrid information, which combines interval-valued intuitionistic fuzzy sets and intuitionistic fuzzy sets. The aim is to define operators on cubic intuitionistic fuzzy sets that are capable of more effectively handling uncertain or impre...
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| Format: | Article |
| Language: | English |
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Ayandegan Institute of Higher Education,
2024-12-01
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| Series: | Journal of Fuzzy Extension and Applications |
| Subjects: | |
| Online Access: | https://www.journal-fea.com/article_202098_feab33102b4feb0eca91844fcbfdd805.pdf |
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| author | Priyadharshini Manoharan Jayanthi Duraisamy Saranya Manoharan |
| author_facet | Priyadharshini Manoharan Jayanthi Duraisamy Saranya Manoharan |
| author_sort | Priyadharshini Manoharan |
| collection | DOAJ |
| description | Cubic intuitionistic fuzzy sets have the efficiency to handle hybrid information, which combines interval-valued intuitionistic fuzzy sets and intuitionistic fuzzy sets. The aim is to define operators on cubic intuitionistic fuzzy sets that are capable of more effectively handling uncertain or imprecise information contained in image data. In this piece of work, few operators on the cubic intuitionistic fuzzy sets under P – order, such as arithmetic mean (@), geometric mean ($), multiplication operator (*), ‘#’ and necessity (□) and possibility (◇) operations on the cubic intuitionistic fuzzy sets under P – order, are defined. The concept of some more modal operators like Dα ́(A), F(α ́,β ́)(A), G(α ́,β ́)(A), H(α ́,β ́)(A), H^*(α ́,β ́)(A), J(α ́,β ́)(A) and J^*(α ́,β ́)(A) over cubic intuitionistic fuzzy sets under P – order are introduced. Additionally, the behaviour of cubic intuitionistic fuzzy modal operators is also carefully examined. Moreover, various properties related to operations on cubic intuitionistic fuzzy sets under P-order have been thoroughly studied and demonstrated. |
| format | Article |
| id | doaj-art-f940e91550294041bbb6556a9aa5c48d |
| institution | Kabale University |
| issn | 2783-1442 2717-3453 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Ayandegan Institute of Higher Education, |
| record_format | Article |
| series | Journal of Fuzzy Extension and Applications |
| spelling | doaj-art-f940e91550294041bbb6556a9aa5c48d2025-01-30T15:07:17ZengAyandegan Institute of Higher Education,Journal of Fuzzy Extension and Applications2783-14422717-34532024-12-015453355910.22105/jfea.2024.446248.1393202098New operations on cubic intuitionistic fuzzy sets under P–orderPriyadharshini Manoharan0Jayanthi Duraisamy1Saranya Manoharan2Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Tamil Nadu, India.Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Tamil Nadu, India.Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Tamil Nadu, India.Cubic intuitionistic fuzzy sets have the efficiency to handle hybrid information, which combines interval-valued intuitionistic fuzzy sets and intuitionistic fuzzy sets. The aim is to define operators on cubic intuitionistic fuzzy sets that are capable of more effectively handling uncertain or imprecise information contained in image data. In this piece of work, few operators on the cubic intuitionistic fuzzy sets under P – order, such as arithmetic mean (@), geometric mean ($), multiplication operator (*), ‘#’ and necessity (□) and possibility (◇) operations on the cubic intuitionistic fuzzy sets under P – order, are defined. The concept of some more modal operators like Dα ́(A), F(α ́,β ́)(A), G(α ́,β ́)(A), H(α ́,β ́)(A), H^*(α ́,β ́)(A), J(α ́,β ́)(A) and J^*(α ́,β ́)(A) over cubic intuitionistic fuzzy sets under P – order are introduced. Additionally, the behaviour of cubic intuitionistic fuzzy modal operators is also carefully examined. Moreover, various properties related to operations on cubic intuitionistic fuzzy sets under P-order have been thoroughly studied and demonstrated.https://www.journal-fea.com/article_202098_feab33102b4feb0eca91844fcbfdd805.pdfintuitionistic fuzzy setsinterval-valued intuitionistic fuzzy setscubic setscubic intuitionistic fuzzy setsmodal operators |
| spellingShingle | Priyadharshini Manoharan Jayanthi Duraisamy Saranya Manoharan New operations on cubic intuitionistic fuzzy sets under P–order Journal of Fuzzy Extension and Applications intuitionistic fuzzy sets interval-valued intuitionistic fuzzy sets cubic sets cubic intuitionistic fuzzy sets modal operators |
| title | New operations on cubic intuitionistic fuzzy sets under P–order |
| title_full | New operations on cubic intuitionistic fuzzy sets under P–order |
| title_fullStr | New operations on cubic intuitionistic fuzzy sets under P–order |
| title_full_unstemmed | New operations on cubic intuitionistic fuzzy sets under P–order |
| title_short | New operations on cubic intuitionistic fuzzy sets under P–order |
| title_sort | new operations on cubic intuitionistic fuzzy sets under p order |
| topic | intuitionistic fuzzy sets interval-valued intuitionistic fuzzy sets cubic sets cubic intuitionistic fuzzy sets modal operators |
| url | https://www.journal-fea.com/article_202098_feab33102b4feb0eca91844fcbfdd805.pdf |
| work_keys_str_mv | AT priyadharshinimanoharan newoperationsoncubicintuitionisticfuzzysetsunderporder AT jayanthiduraisamy newoperationsoncubicintuitionisticfuzzysetsunderporder AT saranyamanoharan newoperationsoncubicintuitionisticfuzzysetsunderporder |