Rough sets: a new approach to vagueness
Fuzzy logic for the management of uncertainty
Extensions and intentions in the rough set theory
Information Sciences: an International Journal
Uncertainly measures of rough set prediction
Artificial Intelligence
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Theoretical Aspects of Reasoning about Data
Reduction and axiomization of covering generalized rough sets
Information Sciences: an International Journal
An improved accuracy measure for rough sets
Journal of Computer and System Sciences
Topological approaches to covering rough sets
Information Sciences: an International Journal
Entropies and Co-Entropies of Coverings with Application to Incomplete Information Systems
Fundamenta Informaticae - New Frontiers in Scientific Discovery - Commemorating the Life and Work of Zdzislaw Pawlak
On Three Types of Covering-Based Rough Sets
IEEE Transactions on Knowledge and Data Engineering
Measuring roughness of generalized rough sets induced by a covering
Fuzzy Sets and Systems
Generalized fuzzy rough approximation operators based on fuzzy coverings
International Journal of Approximate Reasoning
A new measure of uncertainty based on knowledge granulation for rough sets
Information Sciences: an International Journal
Knowledge structure, knowledge granulation and knowledge distance in a knowledge base
International Journal of Approximate Reasoning
Relationship among basic concepts in covering-based rough sets
Information Sciences: an International Journal
Information Entropy and Granulation Co---Entropy of Partitions and Coverings: A Summary
Transactions on Rough Sets X
Generalized rough sets, entropy, and image ambiguity measures
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics - Special issue on human computing
Information-theoretic measures of uncertainty for rough sets and rough relational databases
Information Sciences: an International Journal
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
On non-pointwise entropies of coverings: relationship with anti-monotonicity
RSKT'08 Proceedings of the 3rd international conference on Rough sets and knowledge technology
An information entropy-based approach to outlier detection in rough sets
Expert Systems with Applications: An International Journal
Hybrid approaches to attribute reduction based on indiscernibility and discernibility relation
International Journal of Approximate Reasoning
Topology vs generalized rough sets
International Journal of Approximate Reasoning
Rough approximations of vague sets in fuzzy approximation space
International Journal of Approximate Reasoning
Covering rough sets based on neighborhoods: An approach without using neighborhoods
International Journal of Approximate Reasoning
Data compression with homomorphism in covering information systems
International Journal of Approximate Reasoning
An Axiomatic Approach to the Roughness Measure of Rough Sets
Fundamenta Informaticae
Covering based rough set approximations
Information Sciences: an International Journal
On some types of neighborhood-related covering rough sets
International Journal of Approximate Reasoning
Information-theoretic measures associated with rough set approximations
Information Sciences: an International Journal
An Improved Axiomatic Definition of Information Granulation
Fundamenta Informaticae
Duality, conjugacy and adjointness of approximation operators in covering-based rough sets
International Journal of Approximate Reasoning
International Journal of Approximate Reasoning
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The notions of entropy and co-entropy associated to partitions have been generalized to coverings when Pawlak's rough set theory based on partitions has been extended to covering rough sets. Unfortunately, the monotonicities of entropy and co-entropy with respect to the standard partial order on partitions do not behave well in this generalization. Taking the coverings and the covering lower and upper approximation operations into account, we introduce a novel entropy and the corresponding co-entropy in this paper. The new entropy and co-entropy exhibit the expected monotonicity, provide a measure for the fineness of the pairs of the covering lower and upper approximation operations, and induce a quasi-order relation on coverings. We illustrate the theoretical development by the first, second, and third types of covering lower and upper approximation operations.