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
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Theoretical Aspects of Reasoning about Data
Information Sciences—Informatics and Computer Science: An International Journal
Reduction and axiomization of covering generalized rough sets
Information Sciences: an International Journal
Mining diagnostic rules from clinical databases using rough sets and medical diagnostic model
Information Sciences: an International Journal - Special issue: Medical expert systems
Applying rough sets to market timing decisions
Decision Support Systems - Special issue: Data mining for financial decision making
Two new operators in rough set theory with applications to fuzzy sets
Information Sciences—Informatics and Computer Science: An International Journal
Topological approaches to covering rough sets
Information Sciences: an International Journal
Information Sciences: an International Journal
On Three Types of Covering-Based Rough Sets
IEEE Transactions on Knowledge and Data Engineering
On definable concepts of rough set models
Information Sciences: an International Journal
Measuring roughness of generalized rough sets induced by a covering
Fuzzy Sets and Systems
Transformation of rough set models
Knowledge-Based Systems
Generalized rough sets over fuzzy lattices
Information Sciences: an International Journal
Approximations and reducts with covering generalized rough sets
Computers & Mathematics with Applications
Axiomatic systems for rough sets and fuzzy rough sets
International Journal of Approximate Reasoning
The algebraic structures of generalized rough set theory
Information Sciences: an International Journal
Generalized rough sets based on reflexive and transitive relations
Information Sciences: an International Journal
Expert Systems with Applications: An International Journal
Relationship between generalized rough sets based on binary relation and covering
Information Sciences: an International Journal
Note on "Generalized rough sets based on reflexive and transitive relations"
Information Sciences: an International Journal
A comparison of two types of rough sets induced by coverings
International Journal of Approximate Reasoning
Relationship among basic concepts in covering-based rough sets
Information Sciences: an International Journal
Dominance-based rough set approach to incomplete interval-valued information system
Data & Knowledge Engineering
On axiomatic characterizations of three pairs of covering based approximation operators
Information Sciences: an International Journal
Covering Based Approaches to Rough Sets and Implication Lattices
RSFDGrC '09 Proceedings of the 12th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing
On acquiring classification knowledge from noisy data based on rough set
Expert Systems with Applications: An International Journal
Constructive and algebraic methods of the theory of rough sets
Information Sciences: an International Journal
A comparative study of fuzzy sets and rough sets
Information Sciences: an International Journal
On the structure of generalized rough sets
Information Sciences: an International Journal
Rough set theory for topological spaces
International Journal of Approximate Reasoning
Rough set theory based on two universal sets and its applications
Knowledge-Based Systems
Reduction about approximation spaces of covering generalized rough sets
International Journal of Approximate Reasoning
RSKT'07 Proceedings of the 2nd international conference on Rough sets and knowledge technology
Information Sciences: an International Journal
Rough implication operator based on strong topological rough algebras
Information Sciences: an International Journal
An application of covering approximation spaces on network security
Computers & Mathematics with Applications
On topological dominance-based rough set approach
Transactions on rough sets XII
Topological Approaches to the First Type of Covering-Based Rough Sets
ISME '10 Proceedings of the 2010 International Conference of Information Science and Management Engineering - Volume 02
Information Sciences: an International Journal
Topology vs generalized rough sets
International Journal of Approximate Reasoning
Mining significant factors affecting the adoption of SaaS using the rough set approach
Journal of Systems and Software
Covering rough sets based on neighborhoods: An approach without using neighborhoods
International Journal of Approximate Reasoning
Early warning of enterprise decline in a life cycle using neural networks and rough set theory
Expert Systems with Applications: An International Journal
Segmenting and mining the ERP users' perceived benefits using the rough set approach
Expert Systems with Applications: An International Journal
Axiomatization and conditions for neighborhoods in a covering to form a partition
Information Sciences: an International Journal
Rough set approach to online signature identification
Digital Signal Processing
On minimization of axiom sets characterizing covering-based approximation operators
Information Sciences: an International Journal
Analyzing IT business values - A Dominance based Rough Sets Approach perspective
Expert Systems with Applications: An International Journal
Information Sciences: an International Journal
Quantitative analysis for covering-based rough sets through the upper approximation number
Information Sciences: an International Journal
Characteristic matrix of covering and its application to Boolean matrix decomposition
Information Sciences: an International Journal
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The relationships among properties of covering approximation operators and their corresponding coverings have attracted intensive research in recent years. In particular, those among topological properties have drawn special attention because of their important applications in rough set theory. In this paper, we give topological characterizations of covering C for covering-based upper approximation operators FH, SH, TH and RH to be closure operators. We also give intuitive characterizations of covering C, and describe covering-based approximation space (U,C) as certain types of information exchange systems when SH or RH is a closure operator. By applying our new characterizations, we give inequalities about the relationship between the number of members in C and the number of elements in U, and discuss relationships among conditions for different covering based upper approximation operators to be closure operators. To the best of our knowledge, it is the first time that such characterizations, descriptions, inequalities and discussions are systematically considered in the literature of rough set theory. Furthermore, in this paper we also give several characterizations of unary coverings, an important type of coverings in studying relationships among basic concepts in covering-based rough sets, by the relationships among different types of covering-base approximation operators.