为了对决策过程中的不确定性进行有效刻画,基于犹豫模糊集的特性和区间值评价的情况,提出了区间值犹豫模糊集的定义。然后,基于区间值犹豫模糊集的定义和区间数的基本运算,给出了区间值犹豫模糊元素的一些基本运算和性质,同时说明了区间值犹豫模糊集与区间值模糊集、犹豫模糊集以及区间值直觉模糊集之间的关系。
In order to effectively portray the uncertainty in the decision making process, a new interval- valued hesitant fuzzy sets is defined based on the properties of hesitant fuzzy sets and the situation where the evaluation values are interval values. Then, based on the definition of interval-valued hesitant fuzzy sets and basic operations of interval value, some operations and properties of interval-valued hesitant fuzzy element are proposed. At the same time, the relationship between interval-valued hesitant fuzzy sets and other fuzzy sets such as interval-valued fuzzy sets, hesitant fuzzy sets and interval-valued intuitionistic fuzzy sets are illustrated.