Pythagorean Cubic Fuzzy Aggregation Operators based on Sine Trigonometric Operational Laws and their Application in Decision Making Problem

Abstract The implementation of Pythagorean cubic fuzzy set (PCFs) are more extensive as it is a fundamental concept for addressing higher uncertainty in decision making problems. The symmetry and periodicity of the triangle are maintained via the natural origin of the well-known sine trigonometric function and as a result it satisfies the decision maker’s expectations across a number of parameters. Considering this feature and the significance of the PCFs into the consideration, the main objective of the article is to describe some reliable sine trigonometric laws (STLs) for PCFs. Associated with these laws, we develop new average and geometric aggregation operators to aggregate the Pythagorean fuzzy numbers (PCFNs). We also describe the desired characteristics of the suggested operators. Then, utilizing the created aggregation operators, we create a group decision making technique to address the multiple attribute group decision making problems and demonstrated this with a practical example. We compared the proposed aggregating procedures to the existing methods in order to demonstrate their superiority and validity od our proposed methods. Based on the comparison and sensitivity analysis, we came to the conclusion that our suggested methodology is more reliable and effective.