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首页> 外文期刊>International journal of entelligent systems >Some power Maclaurin symmetric mean aggregation operators based on Pythagorean fuzzy linguistic numbers and their application to group decision making
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Some power Maclaurin symmetric mean aggregation operators based on Pythagorean fuzzy linguistic numbers and their application to group decision making

机译：基于毕达哥拉斯模糊语言数的幂次幂Maclaurin对称均值算子及其在群决策中的应用

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摘要

The power average (PA) operator and Maclaurin symmetric mean (MSM) operator are two important tools to handle the multiple attribute group decision-making (MAGDM) problems, and the combination of two operators can eliminate the influence of unreasonable information from biased decision makers (DMs) and can capture the interrelationship among any number of arguments. The Pythagorean fuzzy linguistic set (PFLS) is parallel to the intuitionistic linguistic set (ILS), which is more powerful to convey the uncertainty and ambiguity of the DMs than ILS. In this paper, we propose some power MSM aggregation operators for Pythagorean fuzzy linguistic information, such as Pythagorean fuzzy linguistic power MSM operator and Pythagorean fuzzy linguistic power weighted MSM (PFLPWMSM) operator. At the same time, we further discuss the properties and special cases of these operators. Then, we propose a new method to solve the MAGDM problems with Pythagorean fuzzy linguistic information based on the PFLPWMSM operator. Finally, some illustrative examples are utilized to show the effectiveness of the proposed method.
机译：功率平均（PA）运算符和Maclaurin对称均值（MSM）运算符是处理多属性组决策（MAGDM）问题的两个重要工具，并且两个运算符的结合可以消除有偏见的决策者产生的不合理信息的影响。 （DM），并且可以捕获任意数量参数之间的相互关系。毕达哥拉斯的模糊语言集（PFLS）与直觉语言集（ILS）平行，比ILS具有更大的能力来传达DM的不确定性和歧义性。本文针对毕达哥拉斯模糊语言信息提出了一些幂MSM聚合算子，例如毕达哥拉斯模糊语言能力MSM算子和毕达哥拉斯模糊语言功率加权MSM（PFLPWMSM）算子。同时，我们进一步讨论了这些运算符的属性和特殊情况。然后，我们提出了一种基于PFLPWMSM算子用毕达哥拉斯模糊语言信息解决MAGDM问题的新方法。最后，利用一些示例性例子来说明所提出方法的有效性。

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