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Keyword

lower approximation

Description: In rough set theory, a lower approximation is the set of elements whose equivalence classes are wholly contained within a target set.
OpenAlex ID: keywords/lower-approximation
Rough Set Theory and Its Applications to Data Analysis
1998 · ZDZISLAW PAWLAK · Cybernetics & Systems · 859
Topological approaches to covering rough sets
2006 · William Zhu · Information Sciences · 619
Extensions and intentions in the rough set theory
1998 · Zbigniew Bonikowski, Edward Bryniarski, et al. · Information Sciences · 570
SMOTE-RSB *: a hybrid preprocessing approach based on oversampling and undersampling for high imbalanced data-sets using SMOTE and rough sets theory
2011 · Enislay Ramentol, Yailé Caballero, et al. · Knowledge and Information Systems · 489
On Three Types of Covering-Based Rough Sets
2007 · William Zhu, Fei-Yue Wang · IEEE Transactions on Knowledge and Data Engineering · 458
Generalized rough sets based on relations
2007 · William Zhu · Information Sciences · 441
Roughness in rings
2003 · B. Davvaz · Information Sciences · 202
Expected Critical Path Lengths in PERT Networks
1962 · D. R. Fulkerson · Operations Research · 188
Upper and Lower Approximations of Fuzzy Sets
2000 · D. BOIXADER, J. JACAS, et al. · International Journal of General Systems · 151
Stochastic dominance-based rough set model for ordinal classification
2008 · Wojciech Kotłowski, Krzysztof Dembczyński, et al. · Information Sciences · 148
Generalized rough sets over fuzzy lattices
2007 · Guilong Liu · Information Sciences · 148
A Distance Measure Approach to Exploring the Rough Set Boundary Region for Attribute Reduction
2009 · Neil Parthaláin, Qiang Shen, et al. · IEEE Transactions on Knowledge and Data Engineering · 141
Approximations and reducts with covering generalized rough sets
2008 · Eric C.C. Tsang, Chen Degang, et al. · Computers & Mathematics with Applications · 135
Feature selection for classification with Spearman’s rank correlation coefficient-based self-information in divergence-based fuzzy rough sets
2024 · Jiefang Jiang, Xianyong Zhang, et al. · Expert Systems with Applications · 132
The lower and upper approximations in a fuzzy group
1996 · Nobuaki Kuroki, Paul P. Wang · Information Sciences · 131
Roughness in modules
2006 · B DAVVAZ, M MAHDAVIPOUR · Information Sciences · 125
Neighborhood systems-based rough sets in incomplete information system
2011 · Xibei Yang, Ming Zhang, et al. · Knowledge-Based Systems · 119
Incorporating Diversity and Informativeness in Multiple-Instance Active Learning
2017 · Ran Wang, Xi-Zhao Wang, et al. · IEEE Transactions on Fuzzy Systems · 103
Methods of approximation in the theory of regular mixtures
1953 · John Adair Barker · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 99
The Axiomatization of the Rough Set Upper Approximation Operations
2006 · Gui-Long Liu · Fundamenta Informaticae · 98
Axiomatic systems for rough sets and fuzzy rough sets
2008 · Guilong Liu · International Journal of Approximate Reasoning · 97
A New Type of Covering Rough Set
2006 · William Zhu, Fei-Yue Wang · International IEEE Conference on Intelligent Systems (IS) · 89
On multigranulation rough sets in incomplete information system
2011 · Xibei Yang, Xiaoning Song, et al. · International Journal of Machine Learning and Cybernetics · 84
Semi-supervised outlier detection based on fuzzy rough C-means clustering
2010 · Zhenxia Xue, Youlin Shang, et al. · Mathematics and Computers in Simulation · 80
Feature selection for multi-label learning based on kernelized fuzzy rough sets
2018 · Yuwen Li, Yaojin Lin, et al. · Neurocomputing · 76
Works count: 511
Citation count: 9,044
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