Pythagorean fuzzy Maclaurin symmetric mean operators in multiple attribute decision making

G Wei, M Lu - International Journal of Intelligent Systems, 2018 - Wiley Online Library
G Wei, M Lu
International Journal of Intelligent Systems, 2018Wiley Online Library
The Maclaurin symmetric mean (MSM) operator is a classical mean type aggregation
operator used in modern information fusion theory, which is suitable to aggregate numerical
values. The prominent characteristic of the MSM operator is that it can capture the
interrelationship among the multiinput arguments. In this paper, we extend MSM to
Pythagorean fuzzy environment to propose the Pythagorean fuzzy Maclaurin symmetric
mean and Pythagorean fuzzy weighted Maclaurin symmetric mean operators. Then, some …
Abstract
The Maclaurin symmetric mean (MSM) operator is a classical mean type aggregation operator used in modern information fusion theory, which is suitable to aggregate numerical values. The prominent characteristic of the MSM operator is that it can capture the interrelationship among the multiinput arguments. In this paper, we extend MSM to Pythagorean fuzzy environment to propose the Pythagorean fuzzy Maclaurin symmetric mean and Pythagorean fuzzy weighted Maclaurin symmetric mean operators. Then, some desirable properties and special cases of these operators are discussed in detail. Finally, a numerical example is provided to illustrate the feasibility of the proposed methods and deliver a comparative analysis.
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