摘要
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.
作者
毛华
牛振华
马经泽
张植明
杨兰珍
MAO Hua;NIU Zhenhua;MA Jingze;ZHANG Zhiming;YANG Lanzhen(School of Mathematics and Information Science,Hebei University,Baoding 071002,China;Department of Hebei Key Laboratory of Machine Learning and Computational Intelligence,Hebei University,Baoding 071002,China)
出处
《郑州大学学报（理学版）》
CAS
北大核心
2024年第1期81-87,共7页
Journal of Zhengzhou University:Natural Science Edition
基金
国家自然科学基金项目(61572011)。
关键词
区间集
经典半概念
模糊集
三支决策
interval-set
classical semiconcept
fuzzy set
three-way decision
