Rough set approach to incomplete information systems
Information Sciences: an International Journal
Rules in incomplete information systems
Information Sciences: an International Journal
A Handwritten Numeral Character Classification Using Tolerant Rough Set
IEEE Transactions on Pattern Analysis and Machine Intelligence
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Theoretical Aspects of Reasoning about Data
The algorithm on knowledge reduction in incomplete information systems
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Machine Learning
RSFDGrC '99 Proceedings of the 7th International Workshop on New Directions in Rough Sets, Data Mining, and Granular-Soft Computing
On the Extension of Rough Sets under Incomplete Information
RSFDGrC '99 Proceedings of the 7th International Workshop on New Directions in Rough Sets, Data Mining, and Granular-Soft Computing
On the Unknown Attribute Values in Learning from Examples
ISMIS '91 Proceedings of the 6th International Symposium on Methodologies for Intelligent Systems
Information Sciences—Informatics and Computer Science: An International Journal
Maximal consistent block technique for rule acquisition in incomplete information systems
Information Sciences: an International Journal
Semantics-Preserving Dimensionality Reduction: Rough and Fuzzy-Rough-Based Approaches
IEEE Transactions on Knowledge and Data Engineering
On fuzzy-rough sets approach to feature selection
Pattern Recognition Letters
Information-preserving hybrid data reduction based on fuzzy-rough techniques
Pattern Recognition Letters
Information Sciences: an International Journal
Discovering patterns of missing data in survey databases: An application of rough sets
Expert Systems with Applications: An International Journal
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
The superiority of three-way decisions in probabilistic rough set models
Information Sciences: an International Journal
Combination entropy and combination granulation in incomplete information system
RSKT'06 Proceedings of the First international conference on Rough Sets and Knowledge Technology
Multi knowledge based rough approximations and applications
Knowledge-Based Systems
Semantic Web search based on rough sets and Fuzzy Formal Concept Analysis
Knowledge-Based Systems
A rough set approach for estimating correlation measures in quality function deployment
Information Sciences: an International Journal
A new weighted rough set framework based classification for Egyptian NeoNatal Jaundice
Applied Soft Computing
A comparative study of rough sets for hybrid data
Information Sciences: an International Journal
Approximations and uncertainty measures in incomplete information systems
Information Sciences: an International Journal
Attributes Reduction Using Fuzzy Rough Sets
IEEE Transactions on Fuzzy Systems
Rough-Set-based timing characteristic analyses of distance protective relay
Applied Soft Computing
Attribute reduction of data with error ranges and test costs
Information Sciences: an International Journal
A general frame for intuitionistic fuzzy rough sets
Information Sciences: an International Journal
A novel and better fitness evaluation for rough set based minimum attribute reduction problem
Information Sciences: an International Journal
Using one axiom to characterize rough set and fuzzy rough set approximations
Information Sciences: an International Journal
Attribute selection based on a new conditional entropy for incomplete decision systems
Knowledge-Based Systems
Rough matroids based on relations
Information Sciences: an International Journal
Decision rule mining using classification consistency rate
Knowledge-Based Systems
A novel method for attribute reduction of covering decision systems
Information Sciences: an International Journal
Mixed feature selection in incomplete decision table
Knowledge-Based Systems
Information Sciences: an International Journal
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Rough set theory has been applied successfully in many fields. However, classical rough set model can only deal with complete and symbolic data sets. Some researchers have proposed extended rough set models to handle incomplete data while others proposed extensions of classical rough set models to deal with numerical data. However, there exist many data which contain numerical attributes and missing values simultaneously. We propose, in this paper, an extended rough set model, i.e. tolerance-fuzzy rough set model to deal with this type of data characterized with numerical attributes and missing values, that is, incomplete numerical data. Discernibility matrices and discernibility functions for incomplete numerical information systems and incomplete numerical decision systems are defined to compute reducts or relative reducts. Meanwhile, the relationship between the proposed tolerance-fuzzy rough set model and the tolerance rough set model is also examined. It is shown that the tolerance-fuzzy rough set model is an extension of the tolerance rough set model. Finally, uncertainty measurement is also investigated. It is suggested that the proposed tolerance-fuzzy rough set model provide an optional approach to incomplete numerical data.