计算机科学 ›› 2020, Vol. 47 ›› Issue (6A): 526-529.doi: 10.11896/JsJkx.190600003
周俊丽, 管延勇, 徐法升, 王洪凯
ZHOU Jun-li, GUAN Yan-yong, XU Fa-sheng and WANG Hong-kai
摘要: 文中在覆盖近似空间中,提出核的概念,研究核的存在性与唯一性以及覆盖块、邻域和核之间的关系;基于核和约简,提出协调覆盖的概念,揭示约简、核和协调覆盖之间的关联;最后,给出覆盖产生的邻域族等于覆盖本身的充要条件。
中图分类号:
[1] Z P.Rough sets.International Journal of Computer and Information Sciences,1982(11):341-356. [2] W Z.Approximations in the space (U,P).Demonstratio Mathematica,1983(16):761-769. [3] Z B,E B,W S U.Extensions and intentions in the roughset theo-ry.Information Sciences,1998(107):149-167. [4] ZHU W,WANG F Y.Reduction and axiomization of covering generalized rough sets.InformationSciences,2003(152):217-230. [5] ZHU W,WANG F Y.Some results on covering generalized [6] rough sets.Pattern Recognitionand Artificial Intelligence,2002(15):6-13. [7] ZHU W.Properties of the fourth type of covering-based rough sets//Proceedings of the Sixth International Conference on Hybrid Intelligent Systems.2006:43. [8] ZHU W,WANG F Y.Relationships among three types of covering rough sets//Proceedings ofthe 2006 IEEE International Conference on Granular Computing.2006:43-48. [9] ZHU W,WANG F Y.A new type of covering rough sets//Proceedings of the Third InternationalIEEE Conference on Intelligent Systems.2006:444-449. [10] ZHU W,WANG F Y.On three types of covering rough sets.IEEE Transactions on Knowledgeand Data Engineering,2007(19):1131-1144. [11] ZHU W.Topological approaches to covering rough sets.Information Sciences,2007(177):1499-1508. [12] ZHU W.Relationship among basic concepts in covering-based rough sets.Information Sciences,2009(179):2478-2486. [13] YAO Y Y,Y B X,Covering based rough set approximations.Information Sciences,2012(200):91-107. [14] ZHANG Y L,LI C Q,LIN M L,et al.Relationships between generalized rough sets based oncovering and reflexive neighborhood system.Information Sciences,2015(319):56-67. [15] D’EER L,RESTREPO M,CORNELIS C,et al.Neighborhood operators for covering-based roughsets[J].InformationScie-nces,2016(336):21-44. [16] YAO H,ZHU W.Condition for neighborhoods in covering based rough sets to form a partition.arXiv:1209.5480vl 25 Sep 2012. [17] YANG B,HU B Q.On some types of fuzzy covering-based rough sets.Fuzzy Sets and Systems,2017(312):36-65. [18] WANG C Z,CHEN D G,SUN B Q,et al.Communication between information systems with covering based rough sets.Information Sciences,2012(216):17-33. [19] ZHOU J L,GUAN Y Y,XU F S,et al.On some types offuzzy covering-based rough setsFuzzy Sets Syst.,2017(312):36-65. |
[1] | 郑文萍, 刘美麟, 杨贵. 一种基于节点稳定性和邻域相似性的社区发现算法 Community Detection Algorithm Based on Node Stability and Neighbor Similarity 计算机科学, 2022, 49(9): 83-91. https://doi.org/10.11896/jsjkx.220400146 |
[2] | 李其烨, 邢红杰. 基于最大相关熵的KPCA异常检测方法 KPCA Based Novelty Detection Method Using Maximum Correntropy Criterion 计算机科学, 2022, 49(8): 267-272. https://doi.org/10.11896/jsjkx.210700175 |
[3] | 程富豪, 徐泰华, 陈建军, 宋晶晶, 杨习贝. 基于顶点粒k步搜索和粗糙集的强连通分量挖掘算法 Strongly Connected Components Mining Algorithm Based on k-step Search of Vertex Granule and Rough Set Theory 计算机科学, 2022, 49(8): 97-107. https://doi.org/10.11896/jsjkx.210700202 |
[4] | 刘月红, 牛少华, 神显豪. 基于卷积神经网络的虚拟现实视频帧内预测编码 Virtual Reality Video Intraframe Prediction Coding Based on Convolutional Neural Network 计算机科学, 2022, 49(7): 127-131. https://doi.org/10.11896/jsjkx.211100179 |
[5] | 王杰, 李晓楠, 李冠宇. 基于自适应注意力机制的知识图谱补全算法 Adaptive Attention-based Knowledge Graph Completion 计算机科学, 2022, 49(7): 204-211. https://doi.org/10.11896/jsjkx.210400129 |
[6] | 刘云, 董守杰. 基于CUDA核函数的多路视频图像拼接加速算法 Acceleration Algorithm of Multi-channel Video Image Stitching Based on CUDA Kernel Function 计算机科学, 2022, 49(6A): 441-446. https://doi.org/10.11896/jsjkx.210600043 |
[7] | 陈景年. 一种适于多分类问题的支持向量机加速方法 Acceleration of SVM for Multi-class Classification 计算机科学, 2022, 49(6A): 297-300. https://doi.org/10.11896/jsjkx.210400149 |
[8] | 阙华坤, 冯小峰, 刘盼龙, 郭文翀, 李健, 曾伟良, 范竞敏. Grassberger熵随机森林在窃电行为检测的应用 Application of Grassberger Entropy Random Forest to Power-stealing Behavior Detection 计算机科学, 2022, 49(6A): 790-794. https://doi.org/10.11896/jsjkx.210800032 |
[9] | 谭任深, 徐龙博, 周冰, 荆朝霞, 黄向生. 海上风电场通用运维路径规划模型优化及仿真 Optimization and Simulation of General Operation and Maintenance Path Planning Model for Offshore Wind Farms 计算机科学, 2022, 49(6A): 795-801. https://doi.org/10.11896/jsjkx.210400300 |
[10] | 孙福权, 崔志清, 邹彭, 张琨. 基于多尺度特征的脑肿瘤分割算法 Brain Tumor Segmentation Algorithm Based on Multi-scale Features 计算机科学, 2022, 49(6A): 12-16. https://doi.org/10.11896/jsjkx.210700217 |
[11] | 许思雨, 秦克云. 基于剩余格的模糊粗糙集的拓扑性质 Topological Properties of Fuzzy Rough Sets Based on Residuated Lattices 计算机科学, 2022, 49(6A): 140-143. https://doi.org/10.11896/jsjkx.210200123 |
[12] | 王方红, 范兴刚, 杨静静, 周杰, 王德恩. 一种基于有向感知区域调整的强栅栏构建算法 Strong Barrier Construction Algorithm Based on Adjustment of Directional Sensing Area 计算机科学, 2022, 49(6A): 612-618. https://doi.org/10.11896/jsjkx.210300291 |
[13] | 范星泽, 禹梅. 改进灰狼算法的无线传感器网络覆盖优化 Coverage Optimization of WSN Based on Improved Grey Wolf Optimizer 计算机科学, 2022, 49(6A): 628-631. https://doi.org/10.11896/jsjkx.210500037 |
[14] | 方连花, 林玉梅, 吴伟志. 随机多尺度序决策系统的最优尺度选择 Optimal Scale Selection in Random Multi-scale Ordered Decision Systems 计算机科学, 2022, 49(6): 172-179. https://doi.org/10.11896/jsjkx.220200067 |
[15] | 徐建民, 孙朋, 吴树芳. 传播路径树核学习的微博谣言检测方法 Microblog Rumor Detection Method Based on Propagation Path Tree Kernel Learning 计算机科学, 2022, 49(6): 342-349. https://doi.org/10.11896/jsjkx.210400096 |
|