Journal of Engineering Research
Abstract
In recent decades, several types of sets, such as fuzzy sets, interval-valued fuzzy sets, intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets, type 2 fuzzy sets, type n fuzzy sets, and hesitant fuzzy sets, have been introduced and investigated widely. In this paper, we propose dual hesitant fuzzy sets (DHFSs), which encompass fuzzy sets, intuitionistic fuzzy sets, hesitant fuzzy sets, and fuzzy multi-sets as special cases. Then we investigate the basic operations and properties of DHFSs. We also discuss the relationships among the sets mentioned above, and then propose an extension principle of DHFSs. Additionally, we give an example to illustrate the application of DHFSs in diagnostics in medicine which is explained in details and puts new view of some operations of DHFS.
Recommended Citation
Omran, Manar Mohamed and Abo-khadra, Reham Abdel-Aziz
(2024)
"New Operation Defined over Dual-Hesitant Fuzzy Set and Its Application in diagnostics in medicine,"
Journal of Engineering Research: Vol. 8:
Iss.
4, Article 24.
Available at:
https://digitalcommons.aaru.edu.jo/erjeng/vol8/iss4/24
Included in
Discrete Mathematics and Combinatorics Commons, Geometry and Topology Commons, Medicine and Health Sciences Commons, Other Physical Sciences and Mathematics Commons, Set Theory Commons