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

ABSTRACT

The concept of p,q- quasirung orthopair fuzzy (p,q- QOF) sets is an advanced extension of q- rung orthopair fuzzy sets (q- ROFSs). This paper introduces the adaptation of Hamacher t-norm and t-conorm to the p,q- 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 p and q, 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.