Aggregation operators play an essential role in the aggregation of various individual input arguments in group decision-making (GDM). In this paper, we have proposed a family of IOWA operators with reliability measurement to aggregate uncertain decision information represented by interval numbers in GDM problems. In particular, we introduce the reliability-induced uncertain OWA (R-IUOWA) operator and the clusters’ reliability-induced uncertain OWA (CR-IUOWA) operator. This type of operators uses the reliability measurement representing the opinion consensus of individuals as the associated order-inducing variable and considers the decision-makers’ preference in the calculation of the position weights. Thus, the aggregation results have a higher consensus level. The R-IUOWA and CR-IUOWA operators have three primary properties such as commutativity, idempotency and boundness. The generalized formulas and some special cases of the two operators are outlined. Finally, the proposed operators are applied to a GDM problem regarding the selection of an investment company. The validity of the two operators is illustrated by comparing the aggregation results with that of other operators.

聚合运算符在组决策（GDM）的各个输入参数的聚合中起着至关重要的作用。在本文中，我们提出了一组具有可靠性度量的IOWA运算符，以聚合由GDM问题中的区间数表示的不确定决策信息。特别是，我们介绍了可靠性引起的不确定性OWA（R-IUOWA）运算符和集群的可靠性引起的不确定性OWA（CR-IUOWA）运算符。这种类型的操作员使用代表个人意见共识的可靠性度量作为相关的顺序诱发变量，并在计算位置权重时考虑决策者的偏好。因此，聚合结果具有较高的共识度。R-IUOWA和CR-IUOWA运算符具有三个主要属性，例如可交换性，幂等和界限。概述了两个算子的广义公式和一些特殊情况。最后，将拟议的运营商应用于有关投资公司选择的GDM问题。通过将聚合结果与其他运算符的聚合结果进行比较，说明了这两个运算符的有效性。