中文摘要：

在考虑专家重要性程度的基础上，提出一种新的基于重要性的诱导有序加权几何平均（I-IOWG）算子，并应用到专家给出的互反判断矩阵的群决策信息集结中。证明了基于I-IOWG算子集结的组合判断矩阵可以保持互反性的性质，研究了I-IOWG算子集结的组合判断矩阵的相容性、满意相容性以及相容性和一致性的关系。在每个专家给出的互反判断矩阵与其特征矩阵具有满意相容性的条件下，探讨了基于I-IOWG算子集结的组合判断矩阵与相应的特征矩阵能保持满意的相容性的性质。该研究表明在群组决策中使用I-IOWG信息集结算子是科学可行的。

英文摘要：

On the basis of considering the degree of importance of decision-making experts, the new importance based ordered weighting geometric （I-IOWG） averaging operators are proposed. They are applied to aggregate the judgment matrices information provided by the experts. It is proved that the combination judgment matrices aggregated by I-IOWG operator keep the reciprocal property. The compatibility, satisfactory compatibility and relations between compatibility and consistency of the combination judgment matrices based on I-IOWG operators are studied. Under the condition that each judgment matrix has the satisfactory compatibility with corresponding characteristic matrix, the property that the combination judgment matrix can keep the satisfactory compatibility is given. It shows that it is scientific and feasible to apply the I-IOWG operators to aggregate information in the group decision-making.