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作 者:毛华[1,2] 牛振华 马经泽 张植明 杨兰珍[1] 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)
机构地区:[1]河北大学数学与信息科学学院,河北保定071002 [2]河北省机器学习与计算机智能重点实验室,河北保定071002
出 处:《郑州大学学报(理学版)》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)。
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.
分 类 号:TP18[自动化与计算机技术—控制理论与控制工程]
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