On Pythagorean fuzzy decision making using soft likelihood functions
On Pythagorean fuzzy decision making using soft likelihood functions
复制标题
利用软似然函数进行毕达哥拉斯模糊决策
DOI：
10.1002/int.22199
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发表时间：
2019-10-09
影响因子：
7
通讯作者：
Liu, Luning
中科院分区：
文献类型：
--
作者：
Fei, Liguo;Feng, Yuqiang;Liu, Luning
多准则决策是指在多个准则下，从有限的备选方案集中选择出质量最优的方案。MCDM的一个重要组成部分是表达评价信息，另一个是聚合与不同标准相关的评价结果。对于前者，本文采用Pythagorean模糊集（PFS）来表示不确定性信息，而对于后者，使用Yager提出的软似然函数。为了从一个新的角度解决多目标决策问题，本文首先提出了PFS的似然函数，并针对其局限性，定义了基于有序加权平均（OWA）的软似然函数，引入了态度特征来识别决策者的主观偏好。此外，定义的PFS的软似然函数扩展加权OWA算子考虑的重要性权重的参数。几个说明性的情况下，提供了基于所提出的（加权）OWA为基础的软似然函数在勾股模糊环境MCDM问题。
Multicriteria decision making (MCDM) is to select the optimal candidate which has the best quality from a finite set of alternatives with multiple criteria. One important component of MCDM is to express the evaluation information, and the other one is to aggregate the evaluation results associated with different criteria. For the former, Pythagorean fuzzy set (PFS) is employed to represent uncertain information in this paper, and for the latter, the soft likelihood function developed by Yager is used. To address MCDM issues from a new perspective, the likelihood function of PFS is first proposed in this study and, to improve some of its limitations, the ordered weighted averaging (OWA)-based soft likelihood function is defined, which introduces the attitudinal characteristic to identify decision makers' subjective preferences. In addition, the defined soft likelihood function of PFS is extended by weighted OWA operator considering the importance weight of the argument. Several illustrative cases are provided based on the presented (weighted) OWA-based soft likelihood functions in Pythagorean fuzzy environment for MCDM problem.