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[0,1]-拓扑空间中T*分离性的非标准分析方法研究 被引量:1
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作者 马春晖 史艳维 翟美娟 《华中师范大学学报(自然科学版)》 CAS 北大核心 2015年第2期167-170,共4页
在非标准扩大模型下,应用非标准分析方法研究了[0,1]-拓扑空间中的T*分离性.首先,利用模糊点的单子及其性质,刻画了T*i(i=0,1,2)分离性.其次,借助模糊集的邻域系,提出了模糊集单子的概念,证明了模糊集单子的逼近定理.最后,得到了T*i(i=3... 在非标准扩大模型下,应用非标准分析方法研究了[0,1]-拓扑空间中的T*分离性.首先,利用模糊点的单子及其性质,刻画了T*i(i=0,1,2)分离性.其次,借助模糊集的邻域系,提出了模糊集单子的概念,证明了模糊集单子的逼近定理.最后,得到了T*i(i=3,4)分离性的非标准刻画. 展开更多
关键词 非标准扩大模型 准分离 模糊集的邻域 模糊集的单子
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Multi-Granularity Neighborhood Fuzzy Rough Set Model on Two Universes
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作者 Ju Wang Xinghu Ai Li Fu 《Journal of Intelligent Learning Systems and Applications》 2024年第2期91-106,共16页
The two universes multi-granularity fuzzy rough set model is an effective tool for handling uncertainty problems between two domains with the help of binary fuzzy relations. This article applies the idea of neighborho... The two universes multi-granularity fuzzy rough set model is an effective tool for handling uncertainty problems between two domains with the help of binary fuzzy relations. This article applies the idea of neighborhood rough sets to two universes multi-granularity fuzzy rough sets, and discusses the two-universes multi-granularity neighborhood fuzzy rough set model. Firstly, the upper and lower approximation operators are defined in the two universes multi-granularity neighborhood fuzzy rough set model. Secondly, the properties of the upper and lower approximation operators are discussed. Finally, the properties of the two universes multi-granularity neighborhood fuzzy rough set model are verified through case studies. 展开更多
关键词 fuzzy set Two Universes Multi-Granularity Rough set Multi-Granularity neighborhood fuzzy Rough set
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