A series of interval-valued Fermatean fuzzy Hamacher operators and their application

With the increasing uncertainty in information, fuzzy theory has become a crucial approach for solving Multiple Attribute Group Decision Making (MAGDM) problems. This paper proposes two methods for addressing MAGDM problems with interval-valued Fermatean fuzzy information. Firstly, a series of Hamacher operators on the interval-valued Fermatean fuzzy numbers (IVFFNs) are derived, based on the fundamental operational norms of IVFFNs and the definitions of Hamacher operators. Secondly, two decision-making methods are proposed in this paper, based on the newly introduced operators, and they are effectively applied to address the enterprise recruitment problem. Finally, we investigate the influence of parameters on the final decision and observe that variations in parameters have small impact on the outcome. This feature simplifies the decision-making process by eliminating the need for extensive parameter tuning. Furthermore, a comparative analysis is conducted between the proposed methods and the research of other scholars, demonstrating the effectiveness of our approach and validating its reliability.