中文摘要：

讨论有序加权几何均值（OWG）算子的比较问题。将原有的OWG算子定义作了推广,从而使得OWG算子对闭单位区间的乘积上所有元素都有定义。证明了按照权重向量的序关系OWG算子集合构成一个完备格。在此基础上,给出了权重向量中的并不可约元的结构,并给出了用并不可约元表示权重向量集合里的所有元素的方法。

英文摘要：

The authors are primarily concerned with the comparisons of the OWG operators.The original definition of OWG operators is generalized so that the OWG can be defined on the product of closed unit intervals.It is proved that the set of OWG operators forms a complete lattice according to the order on the set of all weight vectors.The structure of the set of all join-irreducible elements is described.Furthermore,the method as how to express all weight vectors via join-irreducible elements is demonstrated.