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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。
Aiming at the incomplete hesitating fuzzy mixed information system with conditional attribute value as hesitating fuzzy element and linguistic hesitation fuzzy element, a decision analysis method based on restricted superiority relation is proposed. First of all, heuristics fuzzy sets are generalized to the linguistic environment, the concept of language hesitation fuzzy sets is proposed, and a comparison method of hesitation fuzzy elements and linguistic hesitation fuzzy elements is introduced. Secondly, attribute reduction is performed to the incomplete hesitancy fuzzy mixed information system by using the identification matrix under the constraint superiority relationship. The effectiveness of this method is demonstrated by an example.