RETRACTED ARTICLE: Multidimensional fuzzy norms and cut sets in the context of medical decision making
Abstract This study introduces the concepts of complements, t-norms, t-conorms, and cut sets in the context of multi-dimensional fuzzy sets. Some fundamental results including DeMorgan-type identities, concerning these, are obtained. The advantage of using multidimensional fuzzy sets for analyzing d...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Springer
2023-08-01
|
| Series: | SN Applied Sciences |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/s42452-023-05448-y |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841544355325673472 |
|---|---|
| author | Jomal Josen Sunil Jacob John |
| author_facet | Jomal Josen Sunil Jacob John |
| author_sort | Jomal Josen |
| collection | DOAJ |
| description | Abstract This study introduces the concepts of complements, t-norms, t-conorms, and cut sets in the context of multi-dimensional fuzzy sets. Some fundamental results including DeMorgan-type identities, concerning these, are obtained. The advantage of using multidimensional fuzzy sets for analyzing data is that each element in the universe can be given individual attention as per the requirement. By utilizing this scope, as an application of the introduced concepts, stage identification of certain diseases based on Multidimensional fuzzy sets and intuitionistic fuzzy sets is provided together with a comparative study on typical biomedical data. |
| format | Article |
| id | doaj-art-51d8f29a933d477b99586d7399a5325d |
| institution | Kabale University |
| issn | 2523-3963 2523-3971 |
| language | English |
| publishDate | 2023-08-01 |
| publisher | Springer |
| record_format | Article |
| series | SN Applied Sciences |
| spelling | doaj-art-51d8f29a933d477b99586d7399a5325d2025-01-12T12:35:15ZengSpringerSN Applied Sciences2523-39632523-39712023-08-015911510.1007/s42452-023-05448-yRETRACTED ARTICLE: Multidimensional fuzzy norms and cut sets in the context of medical decision makingJomal Josen0Sunil Jacob John1Department of Mathematics, National Institute of Technology CalicutDepartment of Mathematics, National Institute of Technology CalicutAbstract This study introduces the concepts of complements, t-norms, t-conorms, and cut sets in the context of multi-dimensional fuzzy sets. Some fundamental results including DeMorgan-type identities, concerning these, are obtained. The advantage of using multidimensional fuzzy sets for analyzing data is that each element in the universe can be given individual attention as per the requirement. By utilizing this scope, as an application of the introduced concepts, stage identification of certain diseases based on Multidimensional fuzzy sets and intuitionistic fuzzy sets is provided together with a comparative study on typical biomedical data.https://doi.org/10.1007/s42452-023-05448-yMultidimensional complementsMultidimensional t-normsMultidimensional t-conormsDecision making |
| spellingShingle | Jomal Josen Sunil Jacob John RETRACTED ARTICLE: Multidimensional fuzzy norms and cut sets in the context of medical decision making SN Applied Sciences Multidimensional complements Multidimensional t-norms Multidimensional t-conorms Decision making |
| title | RETRACTED ARTICLE: Multidimensional fuzzy norms and cut sets in the context of medical decision making |
| title_full | RETRACTED ARTICLE: Multidimensional fuzzy norms and cut sets in the context of medical decision making |
| title_fullStr | RETRACTED ARTICLE: Multidimensional fuzzy norms and cut sets in the context of medical decision making |
| title_full_unstemmed | RETRACTED ARTICLE: Multidimensional fuzzy norms and cut sets in the context of medical decision making |
| title_short | RETRACTED ARTICLE: Multidimensional fuzzy norms and cut sets in the context of medical decision making |
| title_sort | retracted article multidimensional fuzzy norms and cut sets in the context of medical decision making |
| topic | Multidimensional complements Multidimensional t-norms Multidimensional t-conorms Decision making |
| url | https://doi.org/10.1007/s42452-023-05448-y |
| work_keys_str_mv | AT jomaljosen retractedarticlemultidimensionalfuzzynormsandcutsetsinthecontextofmedicaldecisionmaking AT suniljacobjohn retractedarticlemultidimensionalfuzzynormsandcutsetsinthecontextofmedicaldecisionmaking |