基于扩展OWA算子的数据信息聚合方法研究

Research on data information aggregation method based on induced OWA operator

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。

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.