Confidence Levels-Based p, q-Quasirung Orthopair Fuzzy Operators and Its Applications to Criteria Group Decision Making Problems

The p,q -quasirung orthopair fuzzy ( p,q -QOF) set, an extension of the q -rung orthopair fuzzy set ( q -ROF) set, offers a more comprehensive approach to information representation, adept at managing data uncertainties. Unlike the restrictive conditions of q -ROF set, which require that the sum of qth power of membership and non-membership function must not exceed one ( q+\q 1 ), p,q -QOFS relaxes these limitations. Here, the combined value of the pth power of membership and qth power of non-membership is confined within one i.e., p+q1 , under the conditions p,q 1 and various relationships between p and q ( p=q , p-q or p-q ). This study explores leveraging confidence levels tied to each p,q -quasirung orthopair fuzzy number ( p,q -QOFN) to devise a set of averaging and geometric aggregation operators (AOs). These operators effectively combine rating values from distinct criteria, as presented by decision-makers. By harnessing these operators, a novel approach for multi-criteria group decision-making (MCGDM) is formulated, well-suited to resolving real-life decision-making (DM) challenges. An illustrative example underscores the method's efficacy and validity. Finally, a comparative assessment against existing methods highlights the superior performance of the proposed approach.