基于模糊三支区间集半概念知识提取方法研究

Research on Knowledge Extraction Method Based on Fuzzy Three-way Interval-set Semiconcept

为了解决只需要考虑属性区间集到对象区间集的问题,将经典半概念理论引入三支区间集中,对于一个模糊形式背景,定义了面向属性的模糊区间集半算子,用此算子得到模糊AE-区间集半概念;讨论了该类半概念的偏序关系和格结构,进而得到求同一形式背景下模糊AE-区间集半概念全体的算法。对偶地,得到模糊OE-区间集半概念定义和其格结构,以及寻找模糊OE-区间集半概念全体的算法。所得结果有助于拓展概念格和区间集理论的应用范围,也为知识提取提供了一种有益的方法。

In order to solve the problem of only considering the attribute interval-set to the object interval-set,the classical semiconcept theory was introduced into the fuzzy three-way interval-set.For a fuzzy formal context,attribute-induced fuzzy interval-set semioperator was defined,which was used to obtain fuzzy AE-interval-set semiconcept.And furthermore,a partial order relation and the correspondent lattice structure were discussed.As a result,an algorithm of searching out all of fuzzy AE-interval-set semiconcepts in a formal context was acquired.Dually,the definition and the correspondent lattice structure of fuzzy OE-interval-set semiconcept were obtained.Meanwhile,an algorithm of searching all of fuzzy OE-interval-set semiconcepts was got.The obtained results were helpful to expand the applications of theories of formal concept lattice and interval-set,and also useful for knowledge extraction.