Fermatean fuzzy linguistic set and its application in multicriteria decision making
Fermatean fuzzy linguistic set and its application in multicriteria decision making
复制标题
Fermatean模糊语言集及其在多准则决策中的应用
DOI：
10.1002/int.22079
复制
发表时间：
2019-05-01
影响因子：
7
通讯作者：
Chen, Xiaohong
中科院分区：
文献类型：
--
作者：
Liu, Donghai;Liu, Yuanyuan;Chen, Xiaohong
本文在语言术语集和费马模糊集的基础上提出了费马模糊语言术语集的概念。给出了费马模糊语言数的基本运算法则、得分函数和准确度函数。然后我们提出了费马泰模糊语言加权聚合算子、费马泰模糊语言加权几何算子和费马泰模糊语言距离测度。此外，我们将 TOPSIS 方法扩展到所提出的距离度量，并在费马模糊语言环境下获得备选方案的排名。举例说明了该方法的可行性和有效性，并与现有方法进行了比较分析。最后，还讨论了所提出的距离测量中参数λ的敏感性分析。
In this paper, we propose the concept of Fermatean fuzzy linguistic term sets based on linguistic term sets and Fermatean fuzzy sets. The basic operational laws, the score function, and the accuracy function of Fermatean fuzzy linguistic numbers are provided. Then we propose the Fermatean fuzzy linguistic weighted aggregation operator, the Fermatean fuzzy linguistic weighted geometric operator, and the Fermatean fuzzy linguistic distance measures. Furthermore, we extend the TOPSIS method to the proposed distance measures, and the ranking of alternatives is obtained under a Fermatean fuzzy linguistic environment. An example is provided to illustrate the feasibility and effectiveness of the proposed method, and a comparison with the existing method is also analyzed. Finally, the sensitivity analysis of the parameter λ in the proposed distance measure is also discussed.