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
Data mining using extensions of the rough set model
Journal of the American Society for Information Science - Special issue: knowledge discovery and data mining
Contributions to the theory of rough sets
Fundamenta Informaticae
Key concepts in model selection: performance and generalizability
Journal of Mathematical Psychology
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Theoretical Aspects of Reasoning about Data
Accuracy and Coverage in Rough Set Rule Induction
TSCTC '02 Proceedings of the Third International Conference on Rough Sets and Current Trends in Computing
Attribute reduction in decision-theoretic rough set models
Information Sciences: an International Journal
Probabilistic rough set approximations
International Journal of Approximate Reasoning
Brighthouse: an analytic data warehouse for ad-hoc queries
Proceedings of the VLDB Endowment
Criteria for choosing a rough set model
Computers & Mathematics with Applications
Interpreting concept learning in cognitive informatics and granular computing
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics - Special issue on cybernetics and cognitive informatics
Decision-theoretic rough set models
RSKT'07 Proceedings of the 2nd international conference on Rough sets and knowledge technology
A note on definability and approximations
Transactions on rough sets VII
Probabilistic rough sets characterized by fuzzy sets
RSFDGrC'03 Proceedings of the 9th international conference on Rough sets, fuzzy sets, data mining, and granular computing
Game-theoretic risk analysis in decision-theoretic rough sets
RSKT'08 Proceedings of the 3rd international conference on Rough sets and knowledge technology
Upper and lower probabilities of fuzzy events induced by a fuzzy set-valued mapping
RSFDGrC'05 Proceedings of the 10th international conference on Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing - Volume Part I
The rough set database system: an overview
Transactions on Rough Sets III
Transactions on Rough Sets III
Generalized lower and upper approximations in a ring
Information Sciences: an International Journal
The superiority of three-way decisions in probabilistic rough set models
Information Sciences: an International Journal
Multiple-category classification with decision-theoretic rough sets
RSKT'10 Proceedings of the 5th international conference on Rough set and knowledge technology
RSKT'10 Proceedings of the 5th international conference on Rough set and knowledge technology
Probabilistic model criteria with decision-theoretic rough sets
Information Sciences: an International Journal
Diverse reduct subspaces based co-training for partially labeled data
International Journal of Approximate Reasoning
Incremental learning optimization on knowledge discovery in dynamic business intelligent systems
Journal of Global Optimization
An optimization viewpoint of decision-theoretic rough set model
RSKT'11 Proceedings of the 6th international conference on Rough sets and knowledge technology
Attribute reduction in decision-theoretic rough set model: a further investigation
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
Automatically determining the number of clusters using decision-theoretic rough set
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
Comparative study of variable precision rough set model and graded rough set model
International Journal of Approximate Reasoning
A class of rough multiple objective programming and its application to solid transportation problem
Information Sciences: an International Journal
A rough set approach for estimating correlation measures in quality function deployment
Information Sciences: an International Journal
Approximations and uncertainty measures in incomplete information systems
Information Sciences: an International Journal
Rough set theory applied to lattice theory
Information Sciences: an International Journal
Generalization of Pawlak's rough approximation spaces by using δβ-open sets
International Journal of Approximate Reasoning
NMGRS: Neighborhood-based multigranulation rough sets
International Journal of Approximate Reasoning
Multiscale roughness measure for color image segmentation
Information Sciences: an International Journal
Two Semantic Issues in a Probabilistic Rough Set Model
Fundamenta Informaticae - Advances in Rough Set Theory
Semi-supervised vehicle recognition: an approximate region constrained approach
RSKT'12 Proceedings of the 7th international conference on Rough Sets and Knowledge Technology
An information-theoretic interpretation of thresholds in probabilistic rough sets
RSKT'12 Proceedings of the 7th international conference on Rough Sets and Knowledge Technology
Cost-Sensitive classification based on decision-theoretic rough set model
RSKT'12 Proceedings of the 7th international conference on Rough Sets and Knowledge Technology
Decision-Theoretic rough sets with probabilistic distribution
RSKT'12 Proceedings of the 7th international conference on Rough Sets and Knowledge Technology
Autonomous Knowledge-oriented Clustering Using Decision-Theoretic Rough Set Theory
Fundamenta Informaticae - Rough Sets and Knowledge Technology (RSKT 2010)
Modelling Multi-agent Three-way Decisions with Decision-theoretic Rough Sets
Fundamenta Informaticae - Rough Sets and Knowledge Technology (RSKT 2010)
A Multiple-category Classification Approach with Decision-theoretic Rough Sets
Fundamenta Informaticae - Rough Sets and Knowledge Technology (RSKT 2010)
Knowledge Reduction in Random Incomplete Decision Tables via Evidence Theory
Fundamenta Informaticae - Rough Sets and Knowledge Technology (RSKT 2010)
Minimum cost attribute reduction in decision-theoretic rough set models
Information Sciences: an International Journal
A novel and better fitness evaluation for rough set based minimum attribute reduction problem
Information Sciences: an International Journal
In Search of Effective Granulization with DTRS for Ternary Classification
International Journal of Cognitive Informatics and Natural Intelligence
A comparison study of cost-sensitive classifier evaluations
BI'12 Proceedings of the 2012 international conference on Brain Informatics
Multigranulation rough sets: From partition to covering
Information Sciences: an International Journal
Core set analysis in inconsistent decision tables
Information Sciences: an International Journal
Fuzzy probabilistic rough set model on two universes and its applications
International Journal of Approximate Reasoning
An extension to rough c-means clustering algorithm based on boundary area elements discrimination
Transactions on Rough Sets XVI
Analyzing uncertainties of probabilistic rough set regions with game-theoretic rough sets
International Journal of Approximate Reasoning
Incorporating logistic regression to decision-theoretic rough sets for classifications
International Journal of Approximate Reasoning
Multigranulation decision-theoretic rough sets
International Journal of Approximate Reasoning
Rule acquisition and complexity reduction in formal decision contexts
International Journal of Approximate Reasoning
Multi-class decision-theoretic rough sets
International Journal of Approximate Reasoning
An extension to Rough c-means clustering based on decision-theoretic Rough Sets model
International Journal of Approximate Reasoning
An axiomatic characterization of probabilistic rough sets
International Journal of Approximate Reasoning
On an optimization representation of decision-theoretic rough set model
International Journal of Approximate Reasoning
Pessimistic rough set based decisions: A multigranulation fusion strategy
Information Sciences: an International Journal
Duality in Rough Set Theory Based on the Square of Opposition
Fundamenta Informaticae - To Andrzej Skowron on His 70th Birthday
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The rough set theory approximates a concept by three regions, namely, the positive, boundary and negative regions. Rules constructed from the three regions are associated with different actions and decisions, which immediately leads to the notion of three-way decision rules. A positive rule makes a decision of acceptance, a negative rule makes a decision of rejection, and a boundary rule makes a decision of abstaining. This paper provides an analysis of three-way decision rules in the classical rough set model and the decision-theoretic rough set model. The results enrich the rough set theory by ideas from Bayesian decision theory and hypothesis testing in statistics. The connections established between the levels of tolerance for errors and costs of incorrect decisions make the rough set theory practical in applications.