Rough sets: probabilistic versus deterministic approach
International Journal of Man-Machine Studies
A decision-theoretic roguth set model
Methodologies for intelligent systems, 5
A decision theoretic framework for approximating concepts
International Journal of Man-Machine Studies
Variable precision rough set model
Journal of Computer and System Sciences
Advances in the Dempster-Shafer theory of evidence
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Theoretical Aspects of Reasoning about Data
Parameterized rough set model using rough membership and Bayesian confirmation measures
International Journal of Approximate Reasoning
Probabilistic rough set approximations
International Journal of Approximate Reasoning
Probabilistic approach to rough sets
International Journal of Approximate Reasoning
Three-way decisions with probabilistic 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
Transactions on Rough Sets III
Fundamenta Informaticae - Advances in Rough Set Theory
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
A new discriminant analysis approach under decision-theoretic rough sets
RSKT'11 Proceedings of the 6th international conference on Rough sets and knowledge technology
A new formulation of multi-category decision-theoretic rough sets
RSKT'11 Proceedings of the 6th international conference on Rough sets and knowledge technology
Two Semantic Issues in a Probabilistic Rough Set Model
Fundamenta Informaticae - Advances in Rough Set Theory
A Multiple-category Classification Approach with Decision-theoretic Rough Sets
Fundamenta Informaticae - Rough Sets and Knowledge Technology (RSKT 2010)
Incorporating logistic regression to decision-theoretic rough sets for classifications
International Journal of Approximate Reasoning
Multi-class decision-theoretic rough sets
International Journal of Approximate Reasoning
On an optimization representation of decision-theoretic rough set model
International Journal of Approximate Reasoning
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A naive Bayesian classifier is a probabilistic classifier based on Bayesian decision theory with naive independence assumptions, which is often used for ranking or constructing a binary classifier. The theory of rough sets provides a ternary classification method by approximating a set into positive, negative and boundary regions based on an equivalence relation on the universe. In this paper, we propose a naive Bayesian decision-theoretic rough set model, or simply a naive Bayesian rough set (NBRS) model, to integrate these two classification techniques. The conditional probability is estimated based on the Bayes' theorem and the naive probabilistic independence assumption. A discriminant function is defined as a monotonically increasing function of the conditional probability, which leads to analytical and computational simplifications.