Comparison of the probabilistic approximate classification and the fuzzy set model
Fuzzy Sets and Systems
Interval structure: a framework for representing uncertain information
UAI '92 Proceedings of the eighth conference on Uncertainty in Artificial Intelligence
Variable precision rough set model
Journal of Computer and System Sciences
Information Sciences: an International Journal
Tolerance approximation spaces
Fundamenta Informaticae - Special issue: rough sets
Data mining using extensions of the rough set model
Journal of the American Society for Information Science - Special issue: knowledge discovery and data mining
Uncertainly measures of rough set prediction
Artificial Intelligence
Relational interpretations of neighborhood operators and rough set approximation operators
Information Sciences—Informatics and Computer Science: An International Journal
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Theoretical Aspects of Reasoning about Data
A comparative study of fuzzy rough sets
Fuzzy Sets and Systems
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
International Journal of Approximate Reasoning
Fuzzy rough set theory for the interval-valued fuzzy information systems
Information Sciences: an International Journal
Generalized fuzzy rough approximation operators based on fuzzy coverings
International Journal of Approximate Reasoning
Axiomatic systems for rough sets and fuzzy rough sets
International Journal of Approximate Reasoning
Rough approximation operators on two universes of discourse and their fuzzy extensions
Fuzzy Sets and Systems
Parameterized rough set model using rough membership and Bayesian confirmation measures
International Journal of Approximate Reasoning
Editorial: Probabilistic rough sets: Approximations, decision-makings, and applications
International Journal of Approximate Reasoning
Probabilistic rough set approximations
International Journal of Approximate Reasoning
Probabilistic approach to rough sets
International Journal of Approximate Reasoning
Exploring the boundary region of tolerance rough sets for feature selection
Pattern Recognition
Information Entropy and Granulation Co---Entropy of Partitions and Coverings: A Summary
Transactions on Rough Sets X
On characterization of generalized interval-valued fuzzy rough sets on two universes of discourse
International Journal of Approximate Reasoning
Attribute dependency functions considering data efficiency
International Journal of Approximate Reasoning
Algebraic Method of the Theory of Rough Sets over Two Universes
FSKD '09 Proceedings of the 2009 Sixth International Conference on Fuzzy Systems and Knowledge Discovery - Volume 07
On characterizations of ( I,T)-fuzzy rough approximation operators
Fuzzy Sets and Systems
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
A roughness measure for fuzzy sets
Information Sciences: an International Journal
The investigation of the Bayesian rough set model
International Journal of Approximate Reasoning
Research on the model of rough set over dual-universes
Knowledge-Based Systems
Topology vs generalized rough sets
International Journal of Approximate Reasoning
Rough approximations of vague sets in fuzzy approximation space
International Journal of Approximate Reasoning
International Journal of Approximate Reasoning
Variable precision rough set model over two universes and its properties
Soft Computing - A Fusion of Foundations, Methodologies and Applications - Special issue on Digital Information Forensics
Axiomatic characterizations of dual concept lattices
International Journal of Approximate Reasoning
International Journal of Approximate Reasoning
Fuzzy probabilistic rough set model on two universes and its applications
International Journal of Approximate Reasoning
Generalized probabilistic approximations of incomplete data
International Journal of Approximate Reasoning
An axiomatic characterization of probabilistic rough sets
International Journal of Approximate Reasoning
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In this paper, we discuss the properties of the probabilistic rough set over two universes in detail. We present the parameter dependence or the continuous of the lower and upper approximations on parameters for probabilistic rough set over two universes. We also investigate some properties of the uncertainty measure, i.e., the rough degree and the precision, for probabilistic rough set over two universes. Meanwhile, we point out the limitation of the uncertainty measure for the traditional method and then define the general Shannon entropy of covering-based on universe. Then we discuss the uncertainty measure of the knowledge granularity and rough entropy for probabilistic rough set over two universes by the proposed concept. Finally, the validity of the methods and conclusions is tested by a numerical example.