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机构地区:[1]德州学院数学系,山东德州253023 [2]驻马店职业技术学院数学系,河南驻马店463000
出 处:《山东大学学报(理学版)》2013年第3期37-41,72,共6页Journal of Shandong University(Natural Science)
基 金:山东省自然科学基金资助项目(ZR2010AL019);山东省高校科技计划资助项目(J12LN92);山东省科技发展计划资助项目(2011GGA14074)
摘 要:在单向S-粗集(one direction singular rough sets)、单向S-粗集对偶(dual of one direction singular rough sets)基础上,给出S-粗等价类、S-粗等价类对偶与粗等价类的概念与结构;讨论了三种等价类之间的关系;得到S-粗等价类与S-粗等价类对偶的属性定理与动态分离定理;给出S-粗等价类在知识动态挖掘-发现中的应用。Based on one direction S-rough sets ( one direction singular rough sets), dual of one direction S-rough sets (dual of one direction singular rough sets), the concepts and structures of S-rough equivalent classes, dual of S-rough equivalent classes and rough equivalent classes are proposed. The relationship among the three kinds of equivalent clas- ses is analysed. And attribute theorems and dynamic separate theorems about S-rough equivalent classes and dual of S-rough equivalent classes are obtained. Finally, theories about dual of S-rough equivalent classes given in the paper are applied to knowledge dynamic mining-discovery.
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