New Pythagorean Fuzzy Interaction Maclaurin Symmetric Mean Operators and Their Application in Multiple Attribute Decision Making

The aim of this paper is to develop some Pythagorean fuzzy interaction operators by considering interaction between membership and non-membership. The generalized Pythagorean fuzzy interaction weighted averaging operator and the generalized Pythagorean fuzzy interaction weighted geometric averaging operator have been developed first. By using the Maclaurin symmetric mean operator, the Pythagorean fuzzy interaction Maclaurin symmetric mean (PFIMSM) operator and the Pythagorean fuzzy interaction weighted Maclaurin symmetric mean (PFIWMSM) operator have been developed. Some special cases of the new aggregation operators have been studied. A new multiple attribute decision-making method based on the PFIMSM operator and the PFIWMSM operator has been developed. Numerical example has been presented to illustrate the proposed method, and comparison analysis has been conducted to demonstrate the applicability of the new method.