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Article type: Research Article
Authors: Wei, Gui-Wu; *
Affiliations: School of Business, Sichuan Normal University, Chengdu, 610101, P.R. China. weiguiwu@163.com
Correspondence: [*] Address for correspondence: School of Business, Sichuan Normal University, Chengdu, 610101, P.R. China.
Abstract: 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.
Keywords: multiple attribute decision making (MADM), Pythagorean fuzzy numbers(PFNs), Hamacher aggregation operators, Pythagorean fuzzy Hamacher power hybrid average (PFHPHA) operator, Pythagorean fuzzy Hamacher power hybrid geometric (PFHPHG) operator
DOI: 10.3233/FI-2019-1794
Journal: Fundamenta Informaticae, vol. 166, no. 1, pp. 57-85, 2019
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