Variable precision rough set model
Journal of Computer and System Sciences
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Axiomatics for fuzzy rough sets
Fuzzy Sets and Systems
Fuzzy Sets and Systems
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
Decision Rules, Bayes' Rule and Ruogh Sets
RSFDGrC '99 Proceedings of the 7th International Workshop on New Directions in Rough Sets, Data Mining, and Granular-Soft Computing
Information Sciences—Informatics and Computer Science: An International Journal
Reduction and axiomization of covering generalized rough sets
Information Sciences: an International Journal
On Axiomatic Characterization of Fuzzy Approximation Operators II. The Rough Fuzzy Set Based Case
ISMVL '01 Proceedings of the 31st IEEE International Symposium on Multiple-Valued Logic
An axiomatic characterization of a fuzzy generalization of rough sets
Information Sciences—Informatics and Computer Science: An International Journal
Constructive and axiomatic approaches of fuzzy approximation operators
Information Sciences—Informatics and Computer Science: An International Journal - Mining stream data
On fuzzy-rough sets approach to feature selection
Pattern Recognition Letters
Information-preserving hybrid data reduction based on fuzzy-rough techniques
Pattern Recognition Letters
Topological approaches to covering rough sets
Information Sciences: an International Journal
The investigation of the Bayesian rough set model
International Journal of Approximate Reasoning
The minimization of axiom sets characterizing generalized fuzzy rough approximation operators
FSKD'05 Proceedings of the Second international conference on Fuzzy Systems and Knowledge Discovery - Volume Part I
Information Sciences: an International Journal
On the generalization of fuzzy rough sets
IEEE Transactions on Fuzzy Systems
Attributes Reduction Using Fuzzy Rough Sets
IEEE Transactions on Fuzzy Systems
Reasoning with rough description logics: An approximate concepts approach
Information Sciences: an International Journal
Attribute reduction and optimal decision rules acquisition for continuous valued information systems
Information Sciences: an International Journal
Attribute selection with fuzzy decision reducts
Information Sciences: an International Journal
Gaussian kernel based fuzzy rough sets: Model, uncertainty measures and applications
International Journal of Approximate Reasoning
Fuzzy-rough approaches for mammographic risk analysis
Intelligent Data Analysis - Knowledge Discovery in Bioinformatics
Construction of a neuron-fuzzy classification model based on feature-extraction approach
Expert Systems with Applications: An International Journal
Systemic approach to fuzzy logic formalization for approximate reasoning
Information Sciences: an International Journal
Attribute reduction based on generalized fuzzy evidence theory in fuzzy decision systems
Fuzzy Sets and Systems
Positive approximation and converse approximation in interval-valued fuzzy rough sets
Information Sciences: an International Journal
Finding key knowledge attribute subspace of outliers in high-dimensional dataset
Expert Systems with Applications: An International Journal
Fuzzy rough set based attribute reduction for information systems with fuzzy decisions
Knowledge-Based Systems
Information Sciences: an International Journal
Rough set theory applied to lattice theory
Information Sciences: an International Journal
Parameterized attribute reduction with Gaussian kernel based fuzzy rough sets
Information Sciences: an International Journal
On Some Mathematical Structures of T-Fuzzy Rough Set Algebras in Infinite Universes of Discourse
Fundamenta Informaticae - Advances in Rough Set Theory
On interval type-2 rough fuzzy sets
Knowledge-Based Systems
Information Sciences: an International Journal
FRPS: A Fuzzy Rough Prototype Selection method
Pattern Recognition
Generalized fuzzy rough approximation operators determined by fuzzy implicators
International Journal of Approximate Reasoning
A novel variable precision (θ,σ)-fuzzy rough set model based on fuzzy granules
Fuzzy Sets and Systems
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Generally speaking, there are four fuzzy approximation operators defined on a general triangular norm (t-norm) framework in fuzzy rough sets. Different types of t-norms specify various approximation operators. One issue whether and how the different fuzzy approximation operators affect the result of attribute reduction is then arisen. This paper addresses this issue from the theoretical viewpoint by reviewing attribute reduction with fuzzy rough sets and then describing and proving some theorems which demonstrate the effects of the fuzzy approximation operators on the results of attribute reduction. First, we review some notions of attribute reduction with fuzzy rough sets, such as positive region, dependency degree and attribute reduction. We then present and prove some theorems which describe how and to what degree fuzzy approximation operators impact the performance of attribute reduction. Finally, we report some experimental simulation results which demonstrate the effectiveness and correctness of the theoretical contributions. One main contribution in this paper is that we have described and proven that each attribute reduction obtained using one type of fuzzy lower approximation operator always contains one reduction obtained using the other type of fuzzy lower approximation operator.