Development of quasirung orthopair fuzzy hamacher aggregation operators and its application in decision-making problems.

The concept of quasirung orthopair fuzzy ( QOF) sets is an advanced extension of rung orthopair fuzzy sets ( ROFSs). This paper introduces the adaptation of Hamacher t-norm and t-conorm to the QOF environment. A series of Hamacher aggregation operators (AOs) and their associated properties are presented. This study extends its application to multi-criteria group decision-making (MCGDM) for practical problem-solving, illustrated through the analysis of mobile payment platforms. The influence of the aggregation operator parameters, denoted as and , on the outcomes of decisions is effectively showcased. Moreover, a comparative analysis is carried out to validate the credibility and authenticity of the proposed model. Finally, the advantages and limitations of the proposed model are outlined.