Tolerance approximation spaces
Fundamenta Informaticae - Special issue: rough sets
Extensions and intentions in the rough set theory
Information Sciences: an International Journal
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
Rules in incomplete information systems
Information Sciences: an International Journal
Rough set theory applied to (fuzzy) ideal theory
Fuzzy Sets and Systems
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
Rough Approximate Operators: Axiomatic Rough Set Theory
RSKD '93 Proceedings of the International Workshop on Rough Sets and Knowledge Discovery: Rough Sets, Fuzzy Sets and Knowledge Discovery
RSCTC '00 Revised Papers from the Second International Conference on Rough Sets and Current Trends in Computing
Granular Computing on Binary Relations
TSCTC '02 Proceedings of the Third International Conference on Rough Sets and Current Trends in Computing
Information Sciences—Informatics and Computer Science: An International Journal
Reduction and axiomization of covering generalized rough sets
Information Sciences: an International Journal
Peculiarity Oriented Multidatabase Mining
IEEE Transactions on Knowledge and Data Engineering
Benchmarking Attribute Selection Techniques for Discrete Class Data Mining
IEEE Transactions on Knowledge and Data Engineering
Constructive and axiomatic approaches of fuzzy approximation operators
Information Sciences—Informatics and Computer Science: An International Journal - Mining stream data
Semantics-Preserving Dimensionality Reduction: Rough and Fuzzy-Rough-Based Approaches
IEEE Transactions on Knowledge and Data Engineering
Two new operators in rough set theory with applications to fuzzy sets
Information Sciences—Informatics and Computer Science: An International Journal
On the abstraction of conventional dynamic systems: from numerical analysis to linguistic analysis
Information Sciences—Informatics and Computer Science: An International Journal
Properties of the Fourth Type of Covering-Based Rough Sets
HIS '06 Proceedings of the Sixth International Conference on Hybrid Intelligent Systems
Properties of the Second Type of Covering-Based Rough Sets
WI-IATW '06 Proceedings of the 2006 IEEE/WIC/ACM international conference on Web Intelligence and Intelligent Agent Technology
Topological approaches to covering rough sets
Information Sciences: an International Journal
The Axiomatization of the Rough Set Upper Approximation Operations
Fundamenta Informaticae
Properties of the First Type of Covering-Based Rough Sets
ICDMW '06 Proceedings of the Sixth IEEE International Conference on Data Mining - Workshops
On Three Types of Covering-Based Rough Sets
IEEE Transactions on Knowledge and Data Engineering
Generalized rough sets over fuzzy lattices
Information Sciences: an International Journal
Approximations and reducts with covering generalized rough sets
Computers & Mathematics with Applications
Neighborhood rough set based heterogeneous feature subset selection
Information Sciences: an International Journal
Relationship between generalized rough sets based on binary relation and covering
Information Sciences: an International Journal
Relationship among basic concepts in covering-based rough sets
Information Sciences: an International Journal
Granular Sets --- Foundations and Case Study of Tolerance Spaces
RSFDGrC '07 Proceedings of the 11th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing
On the topological properties of fuzzy rough sets
Fuzzy Sets and Systems
Constructive and algebraic methods of the theory of rough sets
Information Sciences: an International Journal
On the structure of generalized rough sets
Information Sciences: an International Journal
Granular computing: structures, representations, and applications
RSFDGrC'03 Proceedings of the 9th international conference on Rough sets, fuzzy sets, data mining, and granular computing
Axiomatization and conditions for neighborhoods in a covering to form a partition
Information Sciences: an International Journal
On minimization of axiom sets characterizing covering-based approximation operators
Information Sciences: an International Journal
Axiomatic systems of generalized rough sets
RSKT'06 Proceedings of the First international conference on Rough Sets and Knowledge Technology
Covering based granular computing for conflict analysis
ISI'06 Proceedings of the 4th IEEE international conference on Intelligence and Security Informatics
The relationship among several knowledge reduction approaches
FSKD'05 Proceedings of the Second international conference on Fuzzy Systems and Knowledge Discovery - Volume Part I
Algebraic structures for rough sets
Transactions on Rough Sets II
Fuzzy logic = computing with words
IEEE Transactions on Fuzzy Systems
Communication between information systems with covering based rough sets
Information Sciences: an International Journal
Quantitative analysis for covering-based rough sets through the upper approximation number
Information Sciences: an International Journal
A matroidal approach to rough set theory
Theoretical Computer Science
Entropy measures and granularity measures for set-valued information systems
Information Sciences: an International Journal
A novel method for attribute reduction of covering decision systems
Information Sciences: an International Journal
An axiomatic characterization of probabilistic rough sets
International Journal of Approximate Reasoning
Characteristic matrix of covering and its application to Boolean matrix decomposition
Information Sciences: an International Journal
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As a technique for granular computing, rough sets deal with the vagueness and granularity in information systems. Covering-based rough sets have been proposed to generalize this theory for wider application. Three types of covering-based rough sets have been studied for different situations. To make the theory more complete, this paper proposes a fourth type of covering-based rough sets. Compared with the existing ones, the new type shows its special characteristic in the interdependency between its lower and upper approximations. We carry out a systematical study of this new theory. First, we discuss basic properties such as normality, contraction, and monotone. Then we investigate the conditions for this type of covering-based rough sets to satisfy the properties of Pawlak's rough sets and study the interdependency between the lower and upper approximation operations. In addition, axiomatic systems for the lower and upper approximation operations are established. Lastly, we address the relationships between this type of covering-based rough sets and the three existing ones.