A practical approach to feature selection
ML92 Proceedings of the ninth international workshop on Machine learning
Machine Learning
Fuzzy Sets and Systems - Special issue: fuzzy sets: where do we stand? Where do we go?
Nonlinear component analysis as a kernel eigenvalue problem
Neural Computation
Uncertainly measures of rough set prediction
Artificial Intelligence
Axiomatics for fuzzy rough sets
Fuzzy Sets and Systems
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Theoretical Aspects of Reasoning about Data
A Tutorial on Support Vector Machines for Pattern Recognition
Data Mining and Knowledge Discovery
Machine Learning
A reformulation of entropy in the presence of indistinguishability operators
Fuzzy Sets and Systems
Correlation-based Feature Selection for Discrete and Numeric Class Machine Learning
ICML '00 Proceedings of the Seventeenth International Conference on Machine Learning
Theoretical and Empirical Analysis of ReliefF and RReliefF
Machine Learning
Classes of kernels for machine learning: a statistics perspective
The Journal of Machine Learning Research
Consistency-based search in feature selection
Artificial Intelligence
Kernel Methods for Pattern Analysis
Kernel Methods for Pattern Analysis
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
Margin based feature selection - theory and algorithms
ICML '04 Proceedings of the twenty-first international conference on Machine learning
Semantics-Preserving Dimensionality Reduction: Rough and Fuzzy-Rough-Based Approaches
IEEE Transactions on Knowledge and Data Engineering
Efficient Feature Selection via Analysis of Relevance and Redundancy
The Journal of Machine Learning Research
Toward Integrating Feature Selection Algorithms for Classification and Clustering
IEEE Transactions on Knowledge and Data Engineering
Entropies of fuzzy indiscrenibility relation and its operations
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Generalized Discriminant Analysis Using a Kernel Approach
Neural Computation
Information-preserving hybrid data reduction based on fuzzy-rough techniques
Pattern Recognition Letters
Iterative RELIEF for feature weighting
ICML '06 Proceedings of the 23rd international conference on Machine learning
Short communication: Uncertainty measures for fuzzy relations and their applications
Applied Soft Computing
On Representing and Generating Kernels by Fuzzy Equivalence Relations
The Journal of Machine Learning Research
Iterative RELIEF for Feature Weighting: Algorithms, Theories, and Applications
IEEE Transactions on Pattern Analysis and Machine Intelligence
Rough set based 1-v-1 and 1-v-r approaches to support vector machine multi-classification
Information Sciences: an International Journal
EROS: Ensemble rough subspaces
Pattern Recognition
Measures for evaluating the decision performance of a decision table in rough set theory
Information Sciences: an International Journal
Expert Systems with Applications: An International Journal
International Journal of Approximate Reasoning
Attribute reduction based on evidence theory in incomplete decision systems
Information Sciences: an International Journal
Generalized fuzzy rough approximation operators based on fuzzy coverings
International Journal of Approximate Reasoning
Generalisation of roughness bounds in rough set operations
International Journal of Approximate Reasoning
On fuzzy approximation operators in attribute reduction with fuzzy rough sets
Information Sciences: an International Journal
Attribute reduction in decision-theoretic rough set models
Information Sciences: an International Journal
Fuzzy rough approximations of process data
International Journal of Approximate Reasoning
Knowledge structure, knowledge granulation and knowledge distance in a knowledge base
International Journal of Approximate Reasoning
New approaches to fuzzy-rough feature selection
IEEE Transactions on Fuzzy Systems
Rapid and brief communication: Rough support vector clustering
Pattern Recognition
Genetic programming for simultaneous feature selection and classifier design
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
On the generalization of fuzzy rough sets
IEEE Transactions on Fuzzy Systems
An introduction to kernel-based learning algorithms
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
Orthogonal least squares learning algorithm for radial basis function networks
IEEE Transactions on Neural Networks
Optimizing the kernel in the empirical feature space
IEEE Transactions on Neural Networks
Bilinear Analysis for Kernel Selection and Nonlinear Feature Extraction
IEEE Transactions on Neural Networks
Using mutual information for selecting features in supervised neural net learning
IEEE Transactions on Neural Networks
International Journal of Approximate Reasoning
Covering rough sets based on neighborhoods: An approach without using neighborhoods
International Journal of Approximate Reasoning
International Journal of Approximate Reasoning
Diverse reduct subspaces based co-training for partially labeled data
International Journal of Approximate Reasoning
Geometrical interpretation and applications of membership functions with fuzzy rough sets
Fuzzy Sets and Systems
Parameterized attribute reduction with Gaussian kernel based fuzzy rough sets
Information Sciences: an International Journal
Comprehensive evaluation of chinese liquor quality based on improved gray-clustering analysis
ICSI'12 Proceedings of the Third international conference on Advances in Swarm Intelligence - Volume Part II
Generalized fuzzy rough approximation operators determined by fuzzy implicators
International Journal of Approximate Reasoning
Structure of feature spaces related to fuzzy similarity relations as kernels
Fuzzy Sets and Systems
An improved algorithm for calculating fuzzy attribute reducts
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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Kernel methods and rough sets are two general pursuits in the domain of machine learning and intelligent systems. Kernel methods map data into a higher dimensional feature space, where the resulting structure of the classification task is linearly separable; while rough sets granulate the universe with the use of relations and employ the induced knowledge granules to approximate arbitrary concepts existing in the problem at hand. Although it seems there is no connection between these two methodologies, both kernel methods and rough sets explicitly or implicitly dwell on relation matrices to represent the structure of sample information. Based on this observation, we combine these methodologies by incorporating Gaussian kernel with fuzzy rough sets and propose a Gaussian kernel approximation based fuzzy rough set model. Fuzzy T-equivalence relations constitute the fundamentals of most fuzzy rough set models. It is proven that fuzzy relations with Gaussian kernel are reflexive, symmetric and transitive. Gaussian kernels are introduced to acquire fuzzy relations between samples described by fuzzy or numeric attributes in order to carry out fuzzy rough data analysis. Moreover, we discuss information entropy to evaluate the kernel matrix and calculate the uncertainty of the approximation. Several functions are constructed for evaluating the significance of features based on kernel approximation and fuzzy entropy. Algorithms for feature ranking and reduction based on the proposed functions are designed. Results of experimental analysis are included to quantify the effectiveness of the proposed methods.