Comparison of the probabilistic approximate classification and the fuzzy set model
Fuzzy Sets and Systems
Rough sets: probabilistic versus deterministic approach
International Journal of Man-Machine Studies
A decision theoretic framework for approximating concepts
International Journal of Man-Machine Studies
Variable precision rough set model
Journal of Computer and System Sciences
On axiomatic characterisations of crisp approximation operators
Information Sciences—Informatics and Computer Science: An International Journal
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
Variable Precision Rough Sets with Asymmetric Bounds
RSKD '93 Proceedings of the International Workshop on Rough Sets and Knowledge Discovery: Rough Sets, Fuzzy Sets and Knowledge Discovery
Information Sciences—Informatics and Computer Science: An International Journal
Reduction and axiomization of covering generalized rough sets
Information Sciences: an International Journal
Constructive and axiomatic approaches of fuzzy approximation operators
Information Sciences—Informatics and Computer Science: An International Journal - Mining stream data
Approximations and reducts with covering generalized rough sets
Computers & Mathematics with Applications
Attribute reduction in decision-theoretic rough set models
Information Sciences: an International Journal
Probabilistic rough set approximations
International Journal of Approximate Reasoning
Probabilistic approach to rough sets
International Journal of Approximate Reasoning
Learning Optimal Parameters in Decision-Theoretic Rough Sets
RSKT '09 Proceedings of the 4th International Conference on Rough Sets and Knowledge Technology
Three-way decisions with probabilistic rough sets
Information Sciences: an International Journal
Constructive and algebraic methods of the theory of rough sets
Information Sciences: an International Journal
The investigation of the Bayesian rough set model
International Journal of Approximate Reasoning
Decision-theoretic rough set models
RSKT'07 Proceedings of the 2nd international conference on Rough sets and knowledge technology
Game-theoretic risk analysis in decision-theoretic rough sets
RSKT'08 Proceedings of the 3rd international conference on Rough sets and knowledge technology
The superiority of three-way decisions in probabilistic rough set models
Information Sciences: an International Journal
Probabilistic model criteria with decision-theoretic rough sets
Information Sciences: an International Journal
An optimization viewpoint of decision-theoretic rough set model
RSKT'11 Proceedings of the 6th international conference on Rough sets and knowledge technology
Classification systems based on rough sets under the belief function framework
International Journal of Approximate Reasoning
Rough membership and bayesian confirmation measures for parameterized rough sets
RSFDGrC'05 Proceedings of the 10th international conference on Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing - Volume Part I
Probabilistic rough set over two universes and rough entropy
International Journal of Approximate Reasoning
The fourth type of covering-based rough sets
Information Sciences: an International Journal
Fundamenta Informaticae - Advances in Rough Set Theory
Modelling Multi-agent Three-way Decisions with Decision-theoretic Rough Sets
Fundamenta Informaticae - Rough Sets and Knowledge Technology (RSKT 2010)
Analyzing uncertainties of probabilistic rough set regions with game-theoretic rough sets
International Journal of Approximate Reasoning
Generalized probabilistic approximations of incomplete data
International Journal of Approximate Reasoning
International Journal of Approximate Reasoning
Rule acquisition and complexity reduction in formal decision contexts
International Journal of Approximate Reasoning
An automatic method to determine the number of clusters using decision-theoretic rough set
International Journal of Approximate Reasoning
Feature selection with test cost constraint
International Journal of Approximate Reasoning
Hi-index | 0.00 |
Probabilistic approaches were successfully applied to the theory of rough sets in recent decades. As a result, various types of probabilistic rough set models have been proposed in constructive approaches. This paper focuses on axiomatic approaches of probabilistic rough sets. Some new properties of probabilistic rough set approximation operators are examined in detail. By investigating the dependence among these properties, the axiom sets characterizing two types of the probabilistic rough set approximation operators are given. Each set of axioms guarantees the existence of an equivalence relation reproducing the corresponding probabilistic rough set approximation operators.