Dynamic Aggregation Operators for Optimal Biometric-Based Attendance Device Selection Under Complex Fermatean Fuzzy Environment

Abstract

Selecting the right Biometric-Based Attendance Device (BBAD) is pivotal for enhancing security, operations, and compliance in today’s dynamic environment of identity authentication.Addressing the complexities arising from uncertainty and periodicity, the Complex Fermatean Fuzzy Set (CFFS) theory emerges as adept, encapsulating comprehensive problem specifications. This study introduces two innovative aggregation operators within the CFFS framework: the Complex Fermatean Fuzzy Dynamic Weighted Averaging (CFFDWA) and the Complex Fermatean Fuzzy Dynamic Weighted Geometric (CFFDWG) operators. Some important characteristics of the newly defined operators are established. The shortcomings in the existing score function are rectified along with the introduction of a novel enhanced score function under complex Fermatean fuzzy environment. Moreover, these operators contribute to a systematic framework for handling Multiple Attribute Decision Making (MADM) problems involving complex Fermatean fuzzy information. The article exemplifies their application in resolving a MADM problem, determining the optimal model of BBAD. Finally, to validate the derived methodologies, a thorough comparison study is carried out, demonstrating the superiority of the presented operators against various existing operators.

Keywords

• Complex Fermatean fuzzy set
• CFFDWA operator
• CFFDWG operator
• optimization
• decision making