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

Abstract

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.

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