基于勾股模糊语言幂加权平均算子的多属性群体决策方法

针对多属性群决策问题，采用能够方便专家参考语言集信息进行评价并且取值灵活的勾股模糊语言集进行了处理。首先，基于语言集和勾股模糊集的距离测度给出了勾股模糊语言数距离测度的定义与相关性质；然后，以勾股模糊语言数的距离测度作为幂均（PA）算子的距离度量，提出了勾股模糊语言幂加权平均（PFLPWA）算子用以对群决策过程中不同专家评价矩阵进行融合，并同时在融合过程中考虑专家评价的差异性；最后，基于PFLPWA算子构建了勾股模糊语言环境下的群体决策新方法，并通过案例分析检验了PFLPWA算子应用于群决策中的有效性和适用性。

Multi-attribute group decision-making method based on Pythagorean fuzzy linguistic power weighted average operator

For multi-attribute group decision-making(MAGDM) problem, this study use Pythagorean fuzzy linguistic numbers as input information which can make decision maker evaluate the options effectively with more flexible values. First, Pythagorean fuzzy linguistic distance measure based on the distance measure for Pythagorean fuzzy sets and linguistic sets was created and its properties were also given. Then, by using this distance measure in power average operator , the Pythagorean fuzzy linguistic power weighted average (PFLPWA) operator was created to aggregate a collection of Pythagorean fuzzy linguistic numbers (PFLNs) , and the differences of the decision makers were considered in this aggregation process. Finally, a group decision making method on the basis of PFLPWA operator was built and a numerical example was given to demonstrate its effectiveness and feasibility;