Fuzzy sets, uncertainty, and information
Fuzzy sets, uncertainty, and information
Fuzzy Sets and Systems
Entropy, distance measure and similarity measure of fuzzy sets and their relations
Fuzzy Sets and Systems
Some new information measures for fuzzy sets
Information Sciences: an International Journal
Measures of entropy and fuzziness related to aggregation operators
Information Sciences—Intelligent Systems: An International Journal
Information Sciences: an International Journal
Distance measure and induced fuzzy entropy
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Entropy-based fuzzy clustering and fuzzy modeling
Fuzzy Sets and Systems
Some new fuzzy entropy formulas
Fuzzy Sets and Systems
A comparative study of fuzzy rough sets
Fuzzy Sets and Systems
An axiomatic characterization of a fuzzy generalization of rough sets
Information Sciences—Informatics and Computer Science: An International Journal
Granular computing, rough entropy and object extraction
Pattern Recognition Letters
Information-preserving hybrid data reduction based on fuzzy-rough techniques
Pattern Recognition Letters
Measuring roughness of generalized rough sets induced by a covering
Fuzzy Sets and Systems
Measures for evaluating the decision performance of a decision table in rough set theory
Information Sciences: an International Journal
Attribute reduction in decision-theoretic rough set models
Information Sciences: an International Journal
Neighborhood rough set based heterogeneous feature subset selection
Information Sciences: an International Journal
Consistency measure, inclusion degree and fuzzy measure in decision tables
Fuzzy Sets and Systems
A new measure of uncertainty based on knowledge granulation for rough sets
Information Sciences: an International Journal
Standard and Fuzzy Rough Entropy Clustering Algorithms in Image Segmentation
RSCTC '08 Proceedings of the 6th International Conference on Rough Sets and Current Trends in Computing
Fuzzy Sets and Systems
Constructive and algebraic methods of the theory of rough sets
Information Sciences: an International Journal
Information-theoretic measures of uncertainty for rough sets and rough relational databases
Information Sciences: an International Journal
A comparative study of fuzzy sets and rough sets
Information Sciences: an International Journal
Positive approximation: An accelerator for attribute reduction in rough set theory
Artificial Intelligence
Roughness bounds in rough set operations
Information Sciences: an International Journal
Neighborhood systems and approximate retrieval
Information Sciences: an International Journal
On the generalization of fuzzy rough sets
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Information Sciences: an International Journal
Pessimistic rough set based decisions: A multigranulation fusion strategy
Information Sciences: an International Journal
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The roughness of a rough set arises from the existence of its boundary region. In such a boundary region, each object has a non-zero rough membership degree. When an object's rough membership degree is regarded as its fuzzy membership degree, a rough set can induce a fuzzy set. This relationship motivates us to assert that there may exist some inherent relations between the roughness of a rough set and the fuzziness of the fuzzy set induced from the rough set. This assertion leads us to the question: Can the existing fuzzy entropies be used to evaluate the roughness of a rough set? To answer this question, we first analyze how the boundary region varies when the partition of the universe becomes coarser, and then exploit this analysis in the introduction of a more appropriate definition on the roughness of a rough set. To determine whether a fuzzy entropy can be used to evaluate the roughness of a rough set or not, we develop three methods for estimating the ability of a fuzzy entropy to measure the roughness. The experiments show that these methods are very effective and can be applied to select a fuzzy entropy as a measure of the roughness of a rough set.