Variable precision rough set model
Journal of Computer and System Sciences
Tolerance approximation spaces
Fundamenta Informaticae - Special issue: rough sets
Relational interpretations of neighborhood operators and rough set approximation operators
Information Sciences—Informatics and Computer Science: An International Journal
Rough set approach to incomplete information systems
Information Sciences: an International Journal
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Theoretical Aspects of Reasoning about Data
A Generalized Definition of Rough Approximations Based on Similarity
IEEE Transactions on Knowledge and Data Engineering
Information Sciences—Informatics and Computer Science: An International Journal
Reduction and axiomization of covering generalized rough sets
Information Sciences: an International Journal
Constructive and axiomatic approaches of fuzzy approximation operators
Information Sciences—Informatics and Computer Science: An International Journal - Mining stream data
Approaches to knowledge reduction based on variable precision rough set model
Information Sciences—Informatics and Computer Science: An International Journal - Mining stream data
Invariance of neighborhood relation under input space to feature space mapping
Pattern Recognition Letters
Nearest Neighbors by Neighborhood Counting
IEEE Transactions on Pattern Analysis and Machine Intelligence
Information Sciences: an International Journal
On Three Types of Covering-Based Rough Sets
IEEE Transactions on Knowledge and Data Engineering
Expert Systems with Applications: An International Journal
Mixed feature selection based on granulation and approximation
Knowledge-Based Systems
Neighborhood rough set based heterogeneous feature subset selection
Information Sciences: an International Journal
Interval ordered information systems
Computers & Mathematics with Applications
Formal reasoning with rough sets in multiple-source approximation systems
International Journal of Approximate Reasoning
Probabilistic rough set approximations
International Journal of Approximate Reasoning
Information Sciences: an International Journal
A comparison of two types of rough sets induced by coverings
International Journal of Approximate Reasoning
Information Sciences: an International Journal
Set-valued ordered information systems
Information Sciences: an International Journal
Improved heterogeneous distance functions
Journal of Artificial Intelligence Research
Three-way decisions with probabilistic rough sets
Information Sciences: an International Journal
The model of fuzzy variable precision rough sets
IEEE Transactions on Fuzzy Systems
On fuzzy rough sets based on tolerance relations
Information Sciences: an International Journal
MGRS: A multi-granulation rough set
Information Sciences: an International Journal
The investigation of the Bayesian rough set model
International Journal of Approximate Reasoning
Selecting discrete and continuous features based on neighborhood decision error minimization
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Approximation reduction in inconsistent incomplete decision tables
Knowledge-Based Systems
Topology vs generalized rough sets
International Journal of Approximate Reasoning
Covering rough sets based on neighborhoods: An approach without using neighborhoods
International Journal of Approximate Reasoning
Ranking outliers using symmetric neighborhood relationship
PAKDD'06 Proceedings of the 10th Pacific-Asia conference on Advances in Knowledge Discovery and Data Mining
Neighborhood systems and approximate retrieval
Information Sciences: an International Journal
A covering-based pessimistic multigranulation rough set
ICIC'11 Proceedings of the 7th international conference on Intelligent Computing: bio-inspired computing and applications
A generalized multi-granulation rough set approach
ICIC'11 Proceedings of the 7th international conference on Intelligent Computing: bio-inspired computing and applications
Covering based rough set approximations
Information Sciences: an International Journal
Incomplete Multigranulation Rough Set
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Fuzzy probabilistic approximation spaces and their information measures
IEEE Transactions on Fuzzy Systems
Multigranulation rough sets: From partition to covering
Information Sciences: an International Journal
Multigranulation decision-theoretic rough sets
International Journal of Approximate Reasoning
International Journal of Approximate Reasoning
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Recently, a multigranulation rough set (MGRS) has become a new direction in rough set theory, which is based on multiple binary relations on the universe. However, it is worth noticing that the original MGRS can not be used to discover knowledge from information systems with various domains of attributes. In order to extend the theory of MGRS, the objective of this study is to develop a so-called neighborhood-based multigranulation rough set (NMGRS) in the framework of multigranulation rough sets. Furthermore, by using two different approximating strategies, i.e., seeking common reserving difference and seeking common rejecting difference, we first present optimistic and pessimistic 1-type neighborhood-based multigranulation rough sets and optimistic and pessimistic 2-type neighborhood-based multigranulation rough sets, respectively. Through analyzing several important properties of neighborhood-based multigranulation rough sets, we find that the new rough sets degenerate to the original MGRS when the size of neighborhood equals zero. To obtain covering reducts under neighborhood-based multigranulation rough sets, we then propose a new definition of covering reduct to describe the smallest attribute subset that preserves the consistency of the neighborhood decision system, which can be calculated by Chen's discernibility matrix approach. These results show that the proposed NMGRS largely extends the theory and application of classical MGRS in the context of multiple granulations.