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粗糙集的相似度量
引用本文:刘文军,赵利萍.粗糙集的相似度量[J].数学理论与应用,2012(3):35-42.
作者姓名:刘文军  赵利萍
作者单位:长沙理工大学数学与计算科学学院;长沙理工大学图书馆
基金项目:湖南省科技厅基金项目(2010FJ4136);湖南省教育厅项目基金(10C0403)
摘    要:在近似空间中,分别以集合的上下近似以及元素的隶属度定义了两个集合间的相似度度量,讨论了两种相似度的性质,并对两种相似度进行了比较.

关 键 词:粗糙集、模糊集、近似空间、相似度、上下近似

The Similarity Degree of Rough Sets
Liu Wenjun,Zhao Liping.The Similarity Degree of Rough Sets[J].Mathematical Theory and Applications,2012(3):35-42.
Authors:Liu Wenjun  Zhao Liping
Institution:1.Department of Mathematics and Computing Science,Changsha University of Science and Technology, Changsha,410076,China)(2.Library of Changsha University of Science and Technology,Changsha,410076,China)
Abstract:First, we give two methods of measuring the rough similarity degree between two rough sets by using ap proximation sets and the membership of elements respectively; then, we discuss the properties of these two rough sim ilarity degrees in detail; at last, the difference between the two kinds of rough similarity degree is discussed.
Keywords:Rough Set Fuzzy Set Approximation Space Similarity Degree Lower and Upper Approximation
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