Fusion of heterogeneous incomplete hesitant preference relations in group decision making
Fusion of heterogeneous incomplete hesitant preference relations in group decision making
复制标题
群体决策中异构不完全犹豫偏好关系的融合
DOI：
10.1080/18756891.2016.1149999
复制
发表时间：
2016
影响因子：
2.9
通讯作者：
Chonghui Guo
中科院分区：
文献类型：
--
作者：
Zhen Zhang;Chonghui Guo
研究了群决策环境下异质不完全犹豫偏好关系（包括犹豫模糊偏好关系和犹豫乘性偏好关系）的融合问题。首先，一些简单的公式推导出一个不完整的犹豫模糊偏好关系或不完整的犹豫乘性偏好关系的基础上对数最小二乘法的优先权向量。对于不完全的犹豫偏好关系，基于优先权向量，可以导出一个诱导的模糊或乘性偏好关系。定义了犹豫模糊偏好关系和犹豫乘性偏好关系的一致性指标。然后，提出了一种基于不完全犹豫模糊偏好关系和不完全犹豫乘性偏好关系的群决策方法，用于处理多决策机构的群决策问题。最后，三个例子来说明所提出的方法。
In this paper, we focus on the fusion of heterogeneous incomplete hesitant preference relations (including hesitant fuzzy preference relations and hesitant multiplicative preference relations) under group decision making settings. First, some simple formulae are developed to derive a priority weight vector from an incomplete hesitant fuzzy preference relation or an incomplete hesitant multiplicative preference relation based on the logarithmic least squares method. Based on the priority weight vector, an induced fuzzy or multiplicative preference relation can be derived for an incomplete hesitant preference relation. Moreover, the consistency indices of hesitant fuzzy preference relations and hesitant multiplicative preference relations are defined. Afterwards, an approach to group decision making based on incomplete hesitant fuzzy preference relations and incomplete hesitant multiplicative preference relations is developed to deal with group decision making problems with multiple decision organizations. Finally, three examples are used to illustrate the proposed approach.