不完备犹豫模糊混合信息系统的属性约简

Attribute Reductions in Incomplete Hesitant Fuzzy Hybrid Information Systems

针对条件属性值为犹豫模糊元与语言犹豫模糊元的不完备犹豫模糊混合信息系统,提出了一种基于限制优势关系的决策分析方法。首先,将犹豫模糊集推广到语言环境中,提出了语言犹豫模糊集的概念,并且引入一种犹豫模糊元以及语言犹豫模糊元的比较方法。其次,在限制优势关系下利用辨识矩阵对不完备犹豫模糊混合信息系统进行属性约简。该方法的有效性通过算例得到了论证。

A decision method based on limited dominance relation is proposed for incomplete hesitant fuzzy hybrid information systems, in which the attribute values are in the form of hesitant fuzzy elements and linguistic hesitant fuzzy elements. Firstly, the concept of linguistic hesitant fuzzy sets is introduced by extending the hesitant fuzzy sets under linguistic environment, and a comparison law of hesitant fuzzy elements and linguistic hesitant fuzzy elements is defined. Then, based on limited dominance relation, attribute reductions of incomplete hesitant fuzzy hybrid information systems are displayed with discernibility matrix. An illustrative example is employed to show the validity of the method.