粗糙集理论(rough set theory)与概念格理论(concept lattice theory)是20世纪80年代初期产生的两个新的数学分支. 由于其思想新颖、方法独特,已成为知识发现的两个重要数学工具。
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The data studied by concept lattice theory and rough set theory are expressed by information system and formal context respectively.
粗糙集理论的数据表现方式是信息系统,其研究基础是对象之间的等价关系;
The paper gives an algorithm of obtaining all form concepts from the formal context based on the concept lattice theory. And then, to extract the implication rules from the lattice.
基于概念格理论提出了一种从形式背景中获得所有形式概念的算法,并根据构建的概念格提取蕴含规则。
The dual law in lattice theory is introduced and some concepts and properties relative to it are discussed, while generalizing the concept of duality and the idea of the duality principle.
推广了对偶的概念与对偶原理的思想,在格论中引入了对偶律,并讨论了与之相关的一些概念和性质。
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