混合加权集成算子及其在决策中的应用

Hybrid Weighted Aggregation Operators and Their Application to Decision Making

对数据信息混合加权集成算子进行了研究。基于混合加权平均(HWA)算子和组合加权几何平均(CWGA)算子提出了2种新的混合加权集成算子,即混合有序加权平均(HOWA)算子和混合有序加权几何(HOWG)算子;基于广义有序加权平均(GOWA)算子,又提出了2种新的混合加权集成算子即广义混合加权平均(GHWA)算子和广义混合加权几何(GHWG)算子;证明了HWA算子和HOWG算子是GHWA算子的特例,CWGA算子和HOWA算子是GHWG算子的特例。最后,通过实例说明了混合加权集成算子在多属性决策中的应用。

Argument information hybrid weighted aggregation operators are investigated. On the basis of the hybrid weighted averaging （HWA） operator and the combined weighted geometric averaging （CWGA） operator, two new hybrid weighted aggregation operators such as the hybrid ordered weighted averaging（HOWA） operator and the hybrid ordered weighted geometric （HOWG） operator are proposed. Based on the generalized ordered weighted averaging （GOWA）, the other two new hybrid weighted aggregation operators such as the generalized hybrid weighted averaging （GHWA） operator and the generalized, hybrid weighted geometric （GHWG） operator are developed. The HWA operator and the HOWG operator are proved to be the special cases of the GHWA operator, the CWGA operator and the HOWA operator. Finally, a practical example is provided to illustrate the application of hybrid weighted aggregation operators to multiple attribute decision making.