Decision-making in Diagnosing Heart Failure Problems Using Dual Hesitant Fuzzy Sets

Authors

Manar Mohamed Omran, Universityof Tanta, Faculty of EngineeringFollow
Reham Abdel-Aziz Abo-khadra, University of Damietta , Faculty of EngineeringFollow

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 Diagnosing Heart Failure Problems 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) "Decision-making in Diagnosing Heart Failure Problems Using Dual Hesitant Fuzzy Sets," Journal of Engineering Research: Vol. 8: Iss. 4, Article 20.
Available at: https://digitalcommons.aaru.edu.jo/erjeng/vol8/iss4/20