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.

Keywords: Aggregation operators; Decision making; Hamacher t-norm; Optimization; $\mathrm{p},\mathrm{q}-$-quasirung orthopair fuzzy sets; t-conorm.