Analysis and Application of p, q-Quasirung Orthopair Fuzzy Aczel-Alsina Aggregation Operators in Multiple Criteria Decision-Making

The ${p}$ ,q-quasirung orthopair fuzzy set ( ${p}$ , ${q}$ -ROFS) is a potent tool for representing fuzziness and uncertainty compared to the ${q}$ -rung orthopair fuzzy set ( ${q}$ -ROFS). This research aims to introduce the aggregation technique of ${p}$ , ${q}$ -ROFSs with the help of Aczel-Alsina (AA) operations. We first propound several novel AA operations of ${p}$ , ${q}$ -ROFSs such as AA sum, AA product, AA scalar multiplication, and AA exponentiation. Following these operations, we develop a range of ${p}$ , ${q}$ -quasirung orthopair fuzzy averaging and geometric aggregation operators to efficiently aggregate ${p}$ , ${q}$ -quasirung fuzzy data. Additionally, we construct different features of these operators, discuss certain special cases, and study their fundamental results. Afterward, we use these operators to design a method for dealing with multi-criteria decision-making with ${p}$ , ${q}$ -quasirung orthopair fuzzy information. Finally, we provide a case study to demonstrate the suggested method's practicality followed by parameter analysis and comparison study.