This paper presents the induced generalized ordered weighted logarithmic aggregation (IGOWLA) operator, this operator is an extension of the generalized ordered weighted logarithmic aggregation (GOWLA) operator. It uses order-induced variables that modify the reordering process of the arguments included in the aggregation. The principal advantage of the introduced induced mechanism is the consideration of highly complex attitude from the decision makers. We study some families of the IGOWLA operator as measures for the characterization of the weighting vector. This paper presents the general formulation of the operator and some special cases, including the induced ordered weighted logarithmic geometric averaging (IOWLGA) operator and the induced ordered weighted logarithmic aggregation (IOWLA). Further generalizations using quasi-arithmetic mean are also proposed. Finally, an illustrative example of a group decision-making procedure using a multi-person analysis and the IGOWLA operator in the area of innovation management is analyzed.

中文翻译：

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诱导有序加权对数聚合算子的群决策

本文介绍了归纳广义有序加权对数聚合（IGOWLA）算子，该算子是广义有序加权对数聚合（GOWLA）算子的扩展。它使用顺序引起的变量来修改聚合中包含的参数的重新排序过程。引入的诱导机制的主要优点是决策者考虑了高度复杂的态度。我们研究了IGOWLA算子的一些家族，作为表征加权向量的度量。本文介绍了算子的一般形式以及一些特殊情况，包括诱导有序加权对数几何平均算子（IOWLGA）和诱导有序加权对数聚合（IOWLA）。还提出了使用拟算术平均值的进一步概括。最后，分析了在创新管理领域中使用多人分析和IGOWLA运算符进行的群体决策过程的说明性示例。