基于权重优势关系的粗糙近似模型

Rough Approximation Model Based on Weight Dominance Relation

在不完备信息系统中,为了解决不完全的偏好决策问题,相关学者提出了多种优势关系及其相应的粗糙集模型。但在实际情况中,各条件属性对决策属性的影响程度是有差异的。文章提出一种基于权重的优势关系及其粗糙集近似模型,以及基于粗糙集的权重设定方法和阈值的设定方法。通过对比分析,权重优势关系比广义扩展优势关系更符合实际情况。并用实例证明了权重优势关系及其粗糙近似模型的实用性和有效性。

Some scholars have proposed a lot of dominance relations and corresponding rough models under the incomplete information system in order to deal with the problem of preference decision which has incomplete information. But in practice, the degree of impact each condition attribute effects on decision attributes is different. Therefore this paper presents a dominance rela- tion based on weight and its rough approximation model, and a method of setting the weight of condition attributes based on rough set and setting the threshold value as well. Comparative analysis shows that the weight dominance relation fits the realistic situa- tion better than generalized extended dominance relation. The paper also employs examples to prove the practicality and effective- ness of the weight dominance relation and its rough approximation model.