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一种新的双论域上模糊粗糙集
引用本文:咸艳霞,胡修兵.一种新的双论域上模糊粗糙集[J].华中师范大学学报(自然科学版),2017,51(2):137-139.
作者姓名:咸艳霞  胡修兵
作者单位:1.武汉科技大学 冶金工业过程系统科学湖北省重点实验室, 武汉 430081;2.武汉科技大学 理学院, 武汉 430081; 3.武汉科技大学 信息学院, 武汉 430081
摘    要:粗糙集模型的推广一直是粗糙集理论研究的一个热点.该文基于模糊相容关系,定义了双论域上模糊集的上下近似算子,从而得到了一种新的双论域上模糊粗糙集模型,并研究了它的性质.

关 键 词:粗糙集    模糊粗糙集    模糊相容关系    双论域上模糊关系    双论域上粗糙集  

A new fuzzy rough set model on two different universes
XIAN Yanxia,HU Xiubing.A new fuzzy rough set model on two different universes[J].Journal of Central China Normal University(Natural Sciences),2017,51(2):137-139.
Authors:XIAN Yanxia  HU Xiubing
Institution:1.Hubei Province Key Laboratory of Systems Science in Metallnrgical Process, Wuhan University of Science and Technology, Wuhan 430081;2.School of Science, Wuhan University of Science and Technology, Wuhan 430081; 3.School of Information Science and Engineering, Wuhan University of Science and Technology, Wuhan 430081
Abstract:The extension of rough set is a hot research direction in rough set theory. The aim of this paper is to present a new extension of rough set model over two different universes which is a new fuzzy rough set on two universes based on a fuzzy compatible relation. The low and upper approximation of a fuzzy set are defined. Moreover, several properties of this rough set model are also investigated.
Keywords:rough set  fuzzy rough set  fuzzy compatible relation  fuzzy relation on two universes  rough set on two universes  
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