Edit Profile (opens in new tab) Zhu, William Co-Author Distance Author ID: zhu.william Published as: Zhu, William Documents Indexed: 65 Publications since 1995, including 1 Additional arXiv Preprint 2 Contributions as Editor Co-Authors: 56 Co-Authors with 57 Joint Publications 2,467 Co-Co-Authors all top 5 Co-Authors 5 single-authored 11 Min, Fan 11 Wang, Shiping 7 Zhu, Qingxin 6 Zhao, Hong 4 Huang, Aiping 4 Liu, Yanfang 4 She, Kun 4 Tang, Jianguo 4 Wang, Feiyue 3 Lin, Ziqiong 3 Wang, Jingqian 2 Chakraborty, Mihir Kumar 2 Hassanien, Aboul Ella 2 Li, Qingyin 2 Sakai, Hiroshi 2 Ślęzak, Dominik 2 Yang, Bin 1 Cai, Zhiling 1 Chen, DeWang 1 Chen, Zhaoliang 1 Fan, Anjing 1 Fan, Xinnan 1 Guo, Yingya 1 Hao, Jie 1 Hu, Qinghua 1 Huang, Tianyi 1 Huang, Weiting 1 Khalil, Ahmed Mostafa 1 Li, Hui 1 Li, Shenggang 1 Liu, Guilong 1 Liu, Hui 1 Liu, Qi 1 Ma, Duixia 1 Pedrycz, Witold 1 Peters, James Francis III 1 Skowron, Andrzej 1 Su, Lirun 1 Tang, Tao 1 van Oudheusden, Dirk L. 1 Wang, Jianghua 1 Wu, Junliang 1 Xiao, Shunxin 1 Yang, Ting 1 Yang, Wenyuan 1 Yang, Xiaofei 1 Yao, Hua 1 Yin, Jiateng 1 Yu, Ziniu 1 Zhan, Jianming 1 Zhou, Bufang 1 Zhu, Linfu 1 Zhu, Peiyong 1 Zhu, Xiang 1 Zhu, Xiaozhong 1 Zhu, Yanqing all top 5 Serials 15 Information Sciences 8 Journal of Applied Mathematics 4 Soft Computing 4 Journal of Shandong University. Natural Science 3 Journal of Nanjing University. Natural Sciences 2 International Journal of Approximate Reasoning 2 Fundamenta Informaticae 2 Lecture Notes in Computer Science 2 Journal of Nonlinear and Variational Analysis 1 Theoretical Computer Science 1 Systems & Control Letters 1 The Journal of Supercomputing 1 Applied Mathematical Modelling 1 European Journal of Operational Research 1 Journal of Physics A: Mathematical and General 1 Pattern Recognition 1 Mathematical Problems in Engineering 1 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 1 Control and Decision 1 International Journal of Numerical Analysis and Modeling 1 ISRN Applied Mathematics 1 Journal of Mathematics all top 5 Fields 45 Computer science (68-XX) 21 Combinatorics (05-XX) 9 Mathematical logic and foundations (03-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Statistics (62-XX) 2 General and overarching topics; collections (00-XX) 2 Partial differential equations (35-XX) 2 Numerical analysis (65-XX) 2 Operations research, mathematical programming (90-XX) 1 Associative rings and algebras (16-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 43 Publications have been cited 1,125 times in 508 Documents Cited by ▼ Year ▼ Reduction and axiomization of covering generalized rough sets. Zbl 1069.68613 Zhu, William; Wang, Fei-Yue 197 2003 Topological approaches to covering rough sets. Zbl 1109.68121 Zhu, William 191 2007 Generalized rough sets based on relations. Zbl 1129.68088 Zhu, William 148 2007 Relationship between generalized rough sets based on binary relation and covering. Zbl 1163.68339 Zhu, William 123 2009 The algebraic structures of generalized rough set theory. Zbl 1162.68667 Liu, Guilong; Zhu, William 91 2008 Relationship among basic concepts in covering-based rough sets. Zbl 1178.68579 Zhu, William 88 2009 The fourth type of covering-based rough sets. Zbl 1248.68499 Zhu, William; Wang, Fei-Yue 33 2012 Attribute reduction of data with error ranges and test costs. Zbl 1250.68227 Min, Fan; Zhu, William 30 2012 Rough matroids based on relations. Zbl 1293.05036 Zhu, William; Wang, Shiping 28 2013 A matroidal approach to rough set theory. Zbl 1258.05022 Tang, Jianguo; She, Kun; Min, Fan; Zhu, William 24 2013 Quantitative analysis for covering-based rough sets through the upper approximation number. Zbl 1291.68390 Wang, Shiping; Zhu, Qingxin; Zhu, William; Min, Fan 19 2013 Nullity-based matroid of rough sets and its application to attribute reduction. Zbl 1328.68228 Huang, Aiping; Zhao, Hong; Zhu, William 16 2014 Characteristic matrix of covering and its application to Boolean matrix decomposition. Zbl 1328.68232 Wang, Shiping; Zhu, William; Zhu, Qingxin; Min, Fan 16 2014 Feature selection with test cost constraint. Zbl 1316.68117 Min, Fan; Hu, Qinghua; Zhu, William 16 2014 Four matroidal structures of covering and their relationships with rough sets. Zbl 1316.05025 Wang, Shiping; Zhu, William; Zhu, Qingxin; Min, Fan 12 2013 Applications of bipartite graphs and their adjacency matrices to covering-based rough sets. Zbl 1381.68293 Wang, Jingqian; Zhu, William 11 2017 Matroidal structure of rough sets from the viewpoint of graph theory. Zbl 1259.03069 Tang, Jianguo; She, Kun; Zhu, William 9 2012 Axiomatic systems of generalized rough sets. Zbl 1196.03078 Zhu, William; Wang, Feiyue 7 2006 Graph and matrix approaches to rough sets through matroids. Zbl 1355.68265 Wang, Shiping; Zhu, Qingxin; Zhu, William; Min, Fan 7 2014 Another approach to rough soft hemirings and corresponding decision making. Zbl 1381.16047 Zhan, Jianming; Liu, Qi; Zhu, William 6 2017 Subspace learning for unsupervised feature selection via matrix factorization. Zbl 1373.68338 Wang, Shiping; Pedrycz, Witold; Zhu, Qingxin; Zhu, William 5 2015 Equivalent characterizations of some graph problems by covering-based rough sets. Zbl 1283.05227 Wang, Shiping; Zhu, Qingxin; Zhu, William; Min, Fan 5 2013 Rough set characterization for 2-circuit matroid. Zbl 1285.68186 Wang, Shiping; Zhu, Qingxin; Zhu, William; Min, Fan 5 2014 Applications of matrices to a matroidal structure of rough sets. Zbl 1397.05033 Wang, Jingqian; Zhu, William 4 2013 Trip frequency scheduling for bus route management in Bangkok. Zbl 0901.90089 van Oudheusden, Dirk L.; Zhu, William 3 1995 Transactions on Rough Sets XIV. Zbl 1218.68027 3 2011 Geometric lattice structure of covering-based rough sets through matroids. Zbl 1264.05027 Huang, Aiping; Zhu, William 3 2012 Matroidal structure of rough sets based on serial and transitive relations. Zbl 1264.05028 Liu, Yanfang; Zhu, William 3 2012 Covering-based rough sets on Eulerian matroids. Zbl 1397.05034 Yang, Bin; Lin, Ziqiong; Zhu, William 3 2013 Rough set methods in feature selection via submodular function. Zbl 1381.68299 Zhu, Xiao-Zhong; Zhu, William; Fan, Xin-Nan 2 2017 Test-cost-sensitive attribute reduction of data with normal distribution measurement errors. Zbl 1299.62002 Zhao, Hong; Min, Fan; Zhu, William 2 2013 Connectedness of graphs and its application to connected matroids through covering-based rough sets. Zbl 1370.05118 Huang, Aiping; Zhu, William 2 2016 Computing minimal description and maximal description in covering-based rough sets through matrices. Zbl 1313.68219 Lin, Ziqiong; Wang, Jingqian; Zhu, William 2 2014 Cost-sensitive feature selection of numeric data with measurement errors. Zbl 1267.68199 Zhao, Hong; Min, Fan; Zhu, William 2 2013 The matroidal structures of the second type of covering-based rough set. Zbl 1444.68234 Liu, Yanfang; Zhu, William 2 2015 Geometric lattice structure of covering and its application to attribute reduction through matroids. Zbl 1406.05013 Huang, Aiping; Zhu, William 2 2014 Rough sets, fuzzy sets, data mining and granular computing. 12th international conference, RSFDGrC 2009, Delhi, India, December 15–18, 2009. Proceedings. Zbl 1177.68018 1 2009 Letter to the editor re: “A limit cycle approach for the parametric identification of hysteretic systems”. Zbl 1184.93068 Wang, D. H.; Zhu, W. 1 2009 Error estimates under minimal regularity for single step finite element approximations of parabolic partial differential equations. Zbl 1099.65076 Hou, L. S.; Zhu, W. 1 2006 Parametric matroid of rough set. Zbl 1377.05025 Liu, Yanfang; Zhao, Hong; Zhu, William 1 2015 Test-cost-sensitive attribute reduction on heterogeneous data for adaptive neighborhood model. Zbl 1370.68250 Fan, Anjing; Zhao, Hong; Zhu, William 1 2016 Connectedness of graph and matroid by covering-based rough sets. Zbl 1444.68148 Li, Hui; Zhu, William 1 2015 Deep random walk of unitary invariance for large-scale data representation. Zbl 1484.68199 Wang, Shiping; Chen, Zhaoliang; Zhu, William; Wang, Fei-Yue 1 2021 Deep random walk of unitary invariance for large-scale data representation. Zbl 1484.68199 Wang, Shiping; Chen, Zhaoliang; Zhu, William; Wang, Fei-Yue 1 2021 Applications of bipartite graphs and their adjacency matrices to covering-based rough sets. Zbl 1381.68293 Wang, Jingqian; Zhu, William 11 2017 Another approach to rough soft hemirings and corresponding decision making. Zbl 1381.16047 Zhan, Jianming; Liu, Qi; Zhu, William 6 2017 Rough set methods in feature selection via submodular function. Zbl 1381.68299 Zhu, Xiao-Zhong; Zhu, William; Fan, Xin-Nan 2 2017 Connectedness of graphs and its application to connected matroids through covering-based rough sets. Zbl 1370.05118 Huang, Aiping; Zhu, William 2 2016 Test-cost-sensitive attribute reduction on heterogeneous data for adaptive neighborhood model. Zbl 1370.68250 Fan, Anjing; Zhao, Hong; Zhu, William 1 2016 Subspace learning for unsupervised feature selection via matrix factorization. Zbl 1373.68338 Wang, Shiping; Pedrycz, Witold; Zhu, Qingxin; Zhu, William 5 2015 The matroidal structures of the second type of covering-based rough set. Zbl 1444.68234 Liu, Yanfang; Zhu, William 2 2015 Parametric matroid of rough set. Zbl 1377.05025 Liu, Yanfang; Zhao, Hong; Zhu, William 1 2015 Connectedness of graph and matroid by covering-based rough sets. Zbl 1444.68148 Li, Hui; Zhu, William 1 2015 Nullity-based matroid of rough sets and its application to attribute reduction. Zbl 1328.68228 Huang, Aiping; Zhao, Hong; Zhu, William 16 2014 Characteristic matrix of covering and its application to Boolean matrix decomposition. Zbl 1328.68232 Wang, Shiping; Zhu, William; Zhu, Qingxin; Min, Fan 16 2014 Feature selection with test cost constraint. Zbl 1316.68117 Min, Fan; Hu, Qinghua; Zhu, William 16 2014 Graph and matrix approaches to rough sets through matroids. Zbl 1355.68265 Wang, Shiping; Zhu, Qingxin; Zhu, William; Min, Fan 7 2014 Rough set characterization for 2-circuit matroid. Zbl 1285.68186 Wang, Shiping; Zhu, Qingxin; Zhu, William; Min, Fan 5 2014 Computing minimal description and maximal description in covering-based rough sets through matrices. Zbl 1313.68219 Lin, Ziqiong; Wang, Jingqian; Zhu, William 2 2014 Geometric lattice structure of covering and its application to attribute reduction through matroids. Zbl 1406.05013 Huang, Aiping; Zhu, William 2 2014 Rough matroids based on relations. Zbl 1293.05036 Zhu, William; Wang, Shiping 28 2013 A matroidal approach to rough set theory. Zbl 1258.05022 Tang, Jianguo; She, Kun; Min, Fan; Zhu, William 24 2013 Quantitative analysis for covering-based rough sets through the upper approximation number. Zbl 1291.68390 Wang, Shiping; Zhu, Qingxin; Zhu, William; Min, Fan 19 2013 Four matroidal structures of covering and their relationships with rough sets. Zbl 1316.05025 Wang, Shiping; Zhu, William; Zhu, Qingxin; Min, Fan 12 2013 Equivalent characterizations of some graph problems by covering-based rough sets. Zbl 1283.05227 Wang, Shiping; Zhu, Qingxin; Zhu, William; Min, Fan 5 2013 Applications of matrices to a matroidal structure of rough sets. Zbl 1397.05033 Wang, Jingqian; Zhu, William 4 2013 Covering-based rough sets on Eulerian matroids. Zbl 1397.05034 Yang, Bin; Lin, Ziqiong; Zhu, William 3 2013 Test-cost-sensitive attribute reduction of data with normal distribution measurement errors. Zbl 1299.62002 Zhao, Hong; Min, Fan; Zhu, William 2 2013 Cost-sensitive feature selection of numeric data with measurement errors. Zbl 1267.68199 Zhao, Hong; Min, Fan; Zhu, William 2 2013 The fourth type of covering-based rough sets. Zbl 1248.68499 Zhu, William; Wang, Fei-Yue 33 2012 Attribute reduction of data with error ranges and test costs. Zbl 1250.68227 Min, Fan; Zhu, William 30 2012 Matroidal structure of rough sets from the viewpoint of graph theory. Zbl 1259.03069 Tang, Jianguo; She, Kun; Zhu, William 9 2012 Geometric lattice structure of covering-based rough sets through matroids. Zbl 1264.05027 Huang, Aiping; Zhu, William 3 2012 Matroidal structure of rough sets based on serial and transitive relations. Zbl 1264.05028 Liu, Yanfang; Zhu, William 3 2012 Transactions on Rough Sets XIV. Zbl 1218.68027 3 2011 Relationship between generalized rough sets based on binary relation and covering. Zbl 1163.68339 Zhu, William 123 2009 Relationship among basic concepts in covering-based rough sets. Zbl 1178.68579 Zhu, William 88 2009 Rough sets, fuzzy sets, data mining and granular computing. 12th international conference, RSFDGrC 2009, Delhi, India, December 15–18, 2009. Proceedings. Zbl 1177.68018 1 2009 Letter to the editor re: “A limit cycle approach for the parametric identification of hysteretic systems”. Zbl 1184.93068 Wang, D. H.; Zhu, W. 1 2009 The algebraic structures of generalized rough set theory. Zbl 1162.68667 Liu, Guilong; Zhu, William 91 2008 Topological approaches to covering rough sets. Zbl 1109.68121 Zhu, William 191 2007 Generalized rough sets based on relations. Zbl 1129.68088 Zhu, William 148 2007 Axiomatic systems of generalized rough sets. Zbl 1196.03078 Zhu, William; Wang, Feiyue 7 2006 Error estimates under minimal regularity for single step finite element approximations of parabolic partial differential equations. Zbl 1099.65076 Hou, L. S.; Zhu, W. 1 2006 Reduction and axiomization of covering generalized rough sets. Zbl 1069.68613 Zhu, William; Wang, Fei-Yue 197 2003 Trip frequency scheduling for bus route management in Bangkok. Zbl 0901.90089 van Oudheusden, Dirk L.; Zhu, William 3 1995 all cited Publications top 5 cited Publications all top 5 Cited by 601 Authors 30 Zhu, William 18 Chiaselotti, Giampiero 18 Infusino, Federico G. 17 Zhan, Jianming 14 Chen, Degang 14 Davvaz, Bijan 13 Gentile, Tommaso 13 Wu, Weizhi 12 Hu, Baoqing 12 Mi, Jusheng 12 Miao, Duoqian 11 Li, Jinjin 11 Yao, Yiyu 10 Dai, Jianhua 10 Liu, Guilong 10 Min, Fan 10 Shabir, Muhammad 10 Wang, Changzhong 9 Cornelis, Chris 9 Li, Qingguo 9 Ma, Liwen 9 Zhang, Xiaohong 9 Zhang, Yanlan 8 Chakraborty, Mihir Kumar 8 Grabowski, Adam 8 Li, Xiaonan 8 Qian, Yuhua 8 Wang, Zhaohao 8 Yang, Jingyu 8 Yang, Xibei 7 Han, Sang-Eon 7 Hu, Qinghua 7 Liang, Jiye 7 Wang, Guoyin 7 Wang, Pei 6 Ali, Muhammad Irfan 6 Atef, Mohammed 6 D’eer, Lynn 6 Feng, Tao 6 Hosny, Mona 6 Li, Changqing 6 Li, Lingqiang 6 Li, Zhaowen 6 Lin, Guoping 6 Liu, Caihui 6 Sun, Bingzhen 6 Tsang, Eric C. C. 6 Wang, Shiping 6 Xu, Weihua 6 Yang, Bin 6 Zhu, Ping 6 Zhu, Qingxin 5 Ciucci, Davide 5 Estaji, Ali Akbar 5 Ge, Xun 5 Leoreanu-Fotea, Violeta 5 Restrepo, Mauricio 5 Wang, Jingqian 5 Yu, Zuoming 5 Zhao, Hong 4 Al-Shami, Tareq Mohammed 4 Alcantud, José Carlos Rodríguez 4 Dang, Chuangyin 4 Diker, Murat 4 El-Bably, Mostafa K. 4 Gómez, Jonatan 4 John, Sunil Jacob 4 Kazancı, Osman 4 Ma, Minghui 4 Ma, Xiao 4 Pedrycz, Witold 4 Qian, Jin 4 Qin, Bin 4 Qurashi, Saqib Mazher 4 Salama, Ahmed S. 4 Song, Xiaoning 4 Tan, Anhui 4 Wang, Chunyong 4 Yamak, Sultan 4 Yang, Tian 4 Yun, Ziqiu 4 Zhang, Wenxiu 4 Zhang, Xianyong 4 Zhou, Lei 4 Zhu, Kuanyun 3 Bai, Xiaole 3 El Atik, Abd El Fattah A. 3 El-Sheikh, Sobhy Ahmed 3 Girish, K. P. 3 Guo, Lankun 3 Huang, Aiping 3 Jiang, Haibo 3 Jin, Qiu 3 Kanwal, Rani Sumaira 3 Kong, Qingzhao 3 Lang, Guangming 3 Li, Tianrui 3 Li, Tongjun 3 Lin, Yaojin 3 Liu, Yanfang ...and 501 more Authors all top 5 Cited in 74 Serials 153 Information Sciences 92 International Journal of Approximate Reasoning 45 Soft Computing 15 Journal of Intelligent and Fuzzy Systems 13 Fuzzy Sets and Systems 9 International Journal of General Systems 8 Journal of the Egyptian Mathematical Society 8 Journal of Applied Mathematics 7 Computational and Applied Mathematics 7 Filomat 6 Mathematical Problems in Engineering 6 Symmetry 6 Journal of Mathematics 5 Computers & Mathematics with Applications 5 Theoretical Computer Science 5 Formalized Mathematics 3 Pattern Recognition 3 Complexity 3 Fundamenta Informaticae 3 Journal of Multiple-Valued Logic and Soft Computing 3 Journal of Algebra and its Applications 3 Open Mathematics 2 European Journal of Operational Research 2 Discrete Dynamics in Nature and Society 2 International Journal of Applied Mathematics and Computer Science 2 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 2 South East Asian Journal of Mathematics and Mathematical Sciences 2 Iranian Journal of Fuzzy Systems 2 Afrika Matematika 2 Journal of Function Spaces 2 AIMS Mathematics 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Journal of Pure and Applied Algebra 1 Kybernetes 1 Mathematics and Computers in Simulation 1 Topology and its Applications 1 Journal of Classification 1 Order 1 Journal of Computer Science and Technology 1 Annals of Operations Research 1 International Journal of Foundations of Computer Science 1 International Journal of Computer Mathematics 1 Foundations of Computing and Decision Sciences 1 Applied Mathematics. Series B (English Edition) 1 Turkish Journal of Mathematics 1 The Electronic Journal of Combinatorics 1 Theory of Computing Systems 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Journal of Combinatorial Optimization 1 Journal of Discrete Mathematical Sciences & Cryptography 1 Entropy 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Hacettepe Journal of Mathematics and Statistics 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Mathematical Biosciences and Engineering 1 New Mathematics and Natural Computation 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Applicable Analysis and Discrete Mathematics 1 International Journal of Biomathematics 1 Tbilisi Mathematical Journal 1 Discrete Mathematics, Algorithms and Applications 1 Applied General Topology 1 Advances in Decision Sciences 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Applied Mathematics & Informatics 1 ISRN Applied Mathematics 1 Frontiers of Computer Science in China 1 Cogent Mathematics 1 Transactions of A. Razmadze Mathematical Institute 1 Journal of Nonlinear and Variational Analysis 1 Mathematical Foundations of Computing all top 5 Cited in 27 Fields 374 Computer science (68-XX) 152 Mathematical logic and foundations (03-XX) 78 General topology (54-XX) 43 Order, lattices, ordered algebraic structures (06-XX) 36 Combinatorics (05-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Associative rings and algebras (16-XX) 13 Group theory and generalizations (20-XX) 12 Statistics (62-XX) 11 Operations research, mathematical programming (90-XX) 11 Information and communication theory, circuits (94-XX) 7 General algebraic systems (08-XX) 7 Category theory; homological algebra (18-XX) 5 Systems theory; control (93-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Biology and other natural sciences (92-XX) 3 Commutative algebra (13-XX) 3 Probability theory and stochastic processes (60-XX) 3 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) Citations by Year