The aggregation of fuzzy information is a key process of MCDM methods used to deal with uncertainties. A class of aggregation methods for fuzzy information is fuzzy distance aggregation operators in which distance values are argument variables. This class of aggregation operators permits us to consider an ideal alternative in the aggregation process. But these operators fall in dealing with situations among which distance values cannot be aggregated directly. Therefore, we proposed some distance induced fuzzy operators in which distance values are order-inducing variables so that we can also consider an ideal alternative but take other parameters, also including distance values, as argument variables in an aggregation process. We analyzed the concepts, properties, and generalized forms of proposed distance induced fuzzy operators in this paper. Moreover, aiming at multi-criteria group decision-making (MCGDM), three frameworks of MCGDM methods with the proposed distance induced fuzzy operators are constructed for three different MCGDM situations, respectively. At the end of this paper, an example is used to explain the detailed processes of using the proposed frameworks to make a decision.

模糊信息的聚合是MCDM方法处理不确定性的关键过程。一类模糊信息的聚合方法是模糊距离聚合算子，其中距离值是参数变量。这类聚合运算符允许我们考虑聚合过程中的理想替代方案。但是这些算子都用于处理无法直接聚合距离值的情况。因此，我们提出了一些距离诱导模糊算子，其中距离值是顺序诱导变量，这样我们也可以考虑一个理想的替代方案，但在聚合过程中将其他参数（也包括距离值）作为参数变量。我们分析了本文提出的距离诱导模糊算子的概念、性质和广义形式。此外，针对多准则群决策（MCGDM），分别针对三种不同的MCGDM情况构建了三种MCGDM方法框架，其中提出了距离诱导模糊算子。在本文的最后，通过一个例子来解释使用所提出的框架做出决策的详细过程。