The Algebraic Properties of Concept Lattice
作者机构：DepartmentofComputerScienceShanxiUniversityTaiyuan030006China InstituteofComputingTechnologyChineseAcademyofSciencesBeijing100080China
出 版 物：《Journal of Systems Science and Information》 (系统科学与信息学报（英文）)
年 卷 期：2004年第2卷第2期
页 面：271-277页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
摘 要：Concept lattice is a powerful tool for data analysis. It has been applied widely to machine learning, knowledge discovery and software engineering and so on. Some aspects of concept lattice have been studied widely such as building lattice and rules extraction, as for its algebraic properties, there has not been discussed systematically. The paper suggests a binary operation between the elements for the set of all concepts in formal context. This turns the concept lattice in general significance into those with operators. We also proved that the concept lattice is a lattice in algebraic significance and studied its algebraic *** results provided theoretical foundation and a new method for further study of concept lattice.
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