Pythagorean fuzzy average aggregation operators based on generalized and group-generalized parameter with application in MCDM problems

The concept of intuitionistic fuzzy set (IFS) theory plays an important role in dealing with real-life issues under uncertain and imprecise environment. But it has certain limitations and further extended by many researchers by taking different situations. One of the extensions of IFS theory is Pythagorean fuzzy set (PFS), in which the condition of IFS theory, ie, sum of membership degree and nonmembership degree is less than (or equal to) one is related to the square sum of its membership degree and nonmembership degree is less than (or equal to) one. In this study, the concept of the generalized parameter is incorporated into the PFS theory and presented some generalized Pythagorean fuzzy average aggregation operators. Then, the operators are extended to a group-based generalized parameter by taking the opinions of multiple senior experts/observers. Based on the defined operators, a multi-criteria decision-making (MCDM) approach is provided and illustrated with a numerical example to show the proposed approach effectively. Finally, a comparison analysis is also considered to validate the proposed approach over the existing ones.

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