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Pythagorean Fuzzy Hamacher Power Aggregation Operators in Multiple Attribute Decision Making

Wei Gui-Wu

Fundamenta Informaticae

2019

Vol. 166, nr 1

57--85

In this paper, we utilize Hamacher operations and power aggregation operators to develop some Pythagorean fuzzy Hamacher power aggregation operators: Pythagorean fuzzy Hamacher power average (PFHPA) operator, Pythagorean fuzzy Hamacher power geometric (PFHPG) operator, Pythagorean fuzzy Hamacher power weighted average (PFHPWA) operator, Pythagorean fuzzy Hamacher power weighted geometric (PFHPWG) operator, Pythagorean fuzzy Hamacher power ordered weighted average (PFHPOWA) operator, Pythagorean fuzzy Hamacher power ordered weighted geometric (PFHPOWG) operator, Pythagorean fuzzy Hamacher power hybrid average (PFHPHA) operator and Pythagorean fuzzy Hamacher power hybrid geometric (PFHPHG) operator. The prominent characteristic of these proposed operators are studied. Then, we utilize these operators to develop some approaches to solve the multiple attribute decision making problems with Pythagorean fuzzy numbers (PFNs). Finally, a practical example is given to verify the developed approach and deliver a comparative analysis.

Picture Fuzzy Hamacher Aggregation Operators and their Application to Multiple Attribute Decision Making

Wei G.

Fundamenta Informaticae

2018

Vol. 157, nr 3

271--320

In this paper, we investigate the multiple attribute decision making (MADM) problem based on the arithmetic, geometric aggregation operators and Hamacher operations with picture fuzzy information. Then, motivated by the ideal of traditional arithmetic, geometric aggregation operators and Hamacher operations, we have developed some aggregation operators for aggregating picture fuzzy information: picture fuzzy Hamacher aggregation operators, picture fuzzy Hamacher geometric aggregation operators, picture fuzzy Hamacher correlated aggregation operators, induced picture fuzzy Hamacher aggregation operators, induced picture fuzzy Hamacher correlated aggregation operators, picture fuzzy Hamacher prioritized aggregation operators, picture fuzzy Hamacher power aggregation operators. Then, we have utilized these operators to develop some approaches to solve the picture fuzzy multiple attribute decision making problems. Finally, a practical example for enterprise resource planning (ERP) system selection is given to verify the developed approach and to demonstrate its practicality and effectiveness.