为了对以区间值犹豫模糊集形式表达的决策信息进行有效融合,基于区间值犹豫模糊集和WOWA(Weighted Ordered Weighted Average)算子的特性,定义了一种区间值犹豫模糊WOWA算子,该算子不仅考虑数据自身的重要性,而且考虑数据排序后所在位置的重要性,因此,能够考虑更多的决策信息.然后,讨论了区间值犹豫模糊WOWA算子的性质,并给出了一种基于区间值犹豫模糊WOWA算子的群决策方法.最后,用实例验证了该算子和决策方法的有效性和正确性.
In order to aggregate the information expressed in the form of interval-valued hesitant fuzzy sets,we propose in this paper an interval-valued hesitant fuzzy WOWA (Weighted Ordered Weighted Average) operator.The novelty of this operator is that it not only considers the importance of data,but also considers the importance of location where the data is sorted.Then,some properties of interval-valued hesitant fuzzy WOWA operator are discussed,and one decision making method based on the interval-valued hesitant fuzzy WOWA operator is presented.Finally,an illustrative example is provided to verify the rationality and effectiveness of the proposed operator and decision making method.The research in this paper has certain theoretical value and application prospect.