有序加权集结算子的赋权方法

Approaches to obtaining the weights of the ordered weighted aggregation operators

对有序加权集结算子中的 2个最重要算子 (有序加权平均算子和有序加权几何平均算子 )的赋权方法进行了研究 .利用已知的样本数据以及专家事先对每个样本所给定的偏好集结值 ,给出了部分权重信息下求解这 2种算子的加权向量的线性目标规划模型 ,通过算例对模型进行了说明 .

The approaches to determining the weights of two of the most important ordered weighted aggregating operators (the ordered weighted averaging (OWA) and the ordered weighted geometric averaging (OWGA) operators) are studied. By using the known arguments of samples and the relevant aggregated values given by experts, two linear objective programming models for obtaining the weights of OWA and OWGA operators under partial weight information are given. An illustrative example is provided to illustrate the developed models. The numerical results show that the models are feasible and effective.