Complex Pythagorean Dombi fuzzy operators using aggregation operators and theirdecision-making

A complex Pythagorean fuzzy set, an extension of Pythagorean fuzzy set, is a powerful tool to handle two dimension phenomenon. Dombi operators with operational parameters have outstanding flexibility. This article presents certain aggregation operators under complex Pythagorean fuzzy environment, including complex Pythagorean Dombi fuzzy weighted arithmetic averaging (CPDFWAA) operator, complex Pythagorean Dombi fuzzy weighted geometric averaging (CPDFWGA) operator, complex Pythagorean Dombi fuzzy ordered weighted arithmetic averaging (CPDFOWAA) operator and complex Pythagorean Dombi fuzzy ordered weighted geometric averaging (CPDFOWGA) operator. Moreover, this paper explores some fundamental properties of these operators with appropriate elaboration. A decision-making numerical example related to the selection of bank to purchase loan is given to demonstrate the significance of our proposed approach. Finally, a comparative analysis with existing operators is given to demonstrate the peculiarity of our proposed operators.

Automated summary

The complex Pythagorean fuzzy set, an extension of the Pythagorean fuzzy set, is a powerful tool for handling two-dimensional phenomena. Dombi operators with operational parameters offer outstanding flexibility. This article introduces aggregation operators under the complex Pythagorean fuzzy environment, explores their fundamental properties, provides a decision-making numerical example, and presents a comparative analysis with existing operators to demonstrate the significance and peculiarity of the proposed operators.