CAJ | 학술논문

在数据信息聚合的过程中通常会用到有序加权平均聚合算子，然而有序加权平均聚合算子只是考虑了数据信息所处聚合位置的重要度，却很少考虑数据本身的重要度。针对这种缺点和不足，提出了一种扩展的有序加权几何平均聚合算子，证明了该扩展聚合算子的一些基本性质定理；从理论上分析了该扩展聚合算子的科学性和合理性；通过一个算例的对比分析，证实了该扩展的聚合算子在数据信息聚合时更能真实地反映实际情况。
재수거신식취합적과정중통상회용도유서가권평균취합산자，연이유서가권평균취합산자지시고필료수거신식소처취합위치적중요도，각흔소고필수거본신적중요도。침대저충결점화불족，제출료일충확전적유서가권궤하평균취합산자，증명료해확전취합산자적일사기본성질정리；종이론상분석료해확전취합산자적과학성화합이성；통과일개산례적대비분석，증실료해확전적취합산자재수거신식취합시경능진실지반영실제정황。
The Ordered Weighted Aggregation(OWA)operator only considers the ordered position of the given argument and few considers the given argument itself in the aggregation of data information. An induced Ordered Weighted Geometric Averaging (IOWGA)operator is presented, which not only considers the ordered position of the given argument but also consider the given argument itself, and some properties are proved. Then aggregation method of decision information based on the induced aggregation operator is scientific and reasonable by theoretical analysis. At last, the method is proved that can more scientifically reflect the real situation by comparative analysis with the common aggregation operators.