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一般等价关系下直觉模糊粗糙集模型及其性质的研究
引用本文:刘奕,雷英杰,李续武.一般等价关系下直觉模糊粗糙集模型及其性质的研究[J].微计算机信息,2010(6).
作者姓名:刘奕  雷英杰  李续武
作者单位:空军工程大学导弹学院;
基金项目:基金申请人:雷英杰;项目名称:直觉模糊粗糙集理论研究;基金颁发部门:陕西省自然科学基金委(2006F18)
摘    要:系统研究了一般等价关系下直觉模糊粗糙集模型,给出该模型多种定义形式,详细阐述了上下近似的性质,定义了直觉模糊粗糙集截集的概念,最后给出了该直觉模糊粗糙集模型的分解定理和表现定理,并证明定理的正确性。

关 键 词:直觉模糊粗糙集  直觉模糊粗糙集截集  分解定理  

The model and charachters of intuitionistic fuzzy rough sets under commonly equivalent relation
LIU Yi LEI Ying-jie LI Xu-wu.The model and charachters of intuitionistic fuzzy rough sets under commonly equivalent relation[J].Control & Automation,2010(6).
Authors:LIU Yi LEI Ying-jie LI Xu-wu
Affiliation:LIU Yi LEI Ying-jie LI Xu-wu(Missile Institute,Air Force Engineering University,Shaanxi,Sanyuan,713800,China)
Abstract:The model of intuitionistic fuzzy rough sets under commonly equivalant relation is systemically investigated,and multidefinition forms are given.The characters of upper and lower approximations are particularly expatiated.The conception of intuitionistic fuzzy rough cut-sets is defined.Moreover,the decomposition theorem and representation theorem of intuitionistic fuzzy rough sets are given and proved.
Keywords:Intuitionistic fuzzy rough sets  Intuitionistic fuzzy rough cut-sets  Decomposition theorem  
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