Pythagorean fuzzy Hamacher aggregation operators and their application to multiple attribute decision making

In this paper, we utilize Hamacher operations to develop some Pythagorean fuzzy aggregation operators: Pythagorean fuzzy Hamacher weighted average (PFHWA) operator, Pythagorean fuzzy Hamacher weighted geometric (PFHWG) operator, Pythagorean fuzzy Hamacher ordered weighted average (PFHOWA) operator, Pythagorean fuzzy Hamacher ordered weighted geometric (PFHOWG) operator, Pythagorean fuzzy Hamacher hybrid average (PFHHA) operator and Pythagorean fuzzy Hamacher hybrid geometric (PFHHG) operator. The prominent characteristic of these proposed operators are studied. Then, we have utilized these operators to develop some approaches to solve the Pythagorean fuzzy multiple attribute decision making problems. Finally, a practical example is given to verify the developed approach and to demonstrate its practicality and effectiveness.

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