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.