A new (p, q)− rung orthopair fuzzy SIR method with a multi-criteria decision making approach

Abstract In comparison to Fermatean, Pythagorean, and intuitionistic fuzzy sets, (p; q)—rung orthopair fuzzy sets have a wider range of displaying membership grades and can therefore provide with more confusing situations. The accuracy of (p; q)—rung orthopair fuzzy numbers is investigated using sine trigonometric functions. First, the (p; q)—rung orthopair fuzzy data are extended to the sine trigonometric operational laws (STOLs). In order to aggregate the (p; q)—rung orthopair fuzzy data, a number of additional aggregation operators are offered, based on the STOLs that are put forth. We also go over some of the features of these aggregation operators and examine how the various operators relate to one another. These operators are also used to create a mechanism for multi-attribute decision-making for (p; q)—rung orthopair fuzzy numbers. A variation of the well-known PROMETHEE approach that can be more effective in handling multi-attribute decision-making problems (MADM) is the superiority and inferiority ranking (SIR) method. In this study, we suggest a novel (p; q)—rung orthopair fuzzy SIR approach to address the uncertainty group MADM problem. This strategy handles unclear information, incorporates individual perspectives into group viewpoints, makes conclusions based on many criteria, and ultimately structures a specific decision map. The suggested method is demonstrated in a simulation of a situation involving group decision-making and the choice of the best journal.