Power average-based score function and extension rule of hesitant fuzzy set and the hesitant power average operators
Power average-based score function and extension rule of hesitant fuzzy set and the hesitant power average operators
复制标题
基于功率平均的犹豫模糊集评分函数和可拓规则以及犹豫功率平均算子
DOI：
10.3233/jifs-18794
复制
发表时间：
2018-01-01
影响因子：
2
通讯作者：
Hafezalkotob, Arian
中科院分区：
文献类型：
--
作者：
Liao, Huchang;Wu, Xingli;Hafezalkotob, Arian
犹豫模糊集作为模糊集的扩展，吸引了众多来自不同科学背景的研究者来处理不确定性问题。求解决策问题是犹豫模糊集最重要的应用之一。为此，需要对犹豫模糊元素（hfe）进行排序，并定义一些数学运算。本文首次提出了一种基于功率平均算子的hfe比较新方法。鉴于不同的hfe可能具有不同数量的元素，因此开发了新的程序以使它们统一。然后介绍了四种犹豫功率平均算子，包括犹豫功率平均算子、加权犹豫功率平均算子、有序加权犹豫功率平均算子和混合加权犹豫功率平均算子。最后，提出了一种利用所提算子解决多属性决策问题的新方法。数值算例对所提出的方法进行了说明和比较。
Hesitant fuzzy set, as an extension of fuzzy set, has absorbed many researchers from various scientific backgrounds to deal with uncertainty. Solving decision-making problems is one of the most important applications of hesitant fuzzy set. To do so, it is needed to rank hesitant fuzzy elements (HFEs) and to define some mathematical operations on them. In this paper, a new method based on the power average operator is firstly suggested to compare the HFEs. Given that different HFEs may have different numbers of elements, new procedures are developed to make them uniform. Then, four kinds of hesitant power average operators, including the hesitant power average operator, the weighted hesitant power average operator, the ordered weighted hesitant power average operator and the hybrid weighted hesitant power average operator, are introduced. Finally, a new approach to solve the multiple attribute decision-making problems is introduced via the proposed operators. Numerical examples are given to illustrate and compare the proposed methods.