Robust regression and outlier detection
Robust regression and outlier detection
On ordered weighted averaging aggregation operators in multicriteria decisionmaking
IEEE Transactions on Systems, Man and Cybernetics
Connectives and quantifiers in fuzzy sets
Fuzzy Sets and Systems - Special memorial volume on foundations of fuzzy reasoning
Fuzzy Sets and Systems - Special issue on fuzzy optimization
The ordered weighted averaging operators: theory and applications
The ordered weighted averaging operators: theory and applications
Maximum trimmed likelihood estimators: a unified approach, examples, and algorithms
Computational Statistics & Data Analysis
Applications and algorithms for least trimmed sum of absolute deviations regression
Computational Statistics & Data Analysis
New algorithms for computing the least trimmed squares regression estimator
Computational Statistics & Data Analysis
Computing LTS Regression for Large Data Sets
Data Mining and Knowledge Discovery
Modeling Decisions: Information Fusion and Aggregation Operators (Cognitive Technologies)
Modeling Decisions: Information Fusion and Aggregation Operators (Cognitive Technologies)
Soft Computing - A Fusion of Foundations, Methodologies and Applications
On the equivalence of some approaches to the OWA operator and RIM quantifier determination
Fuzzy Sets and Systems
Fast parallel GPU-sorting using a hybrid algorithm
Journal of Parallel and Distributed Computing
Aggregation Functions: A Guide for Practitioners
Aggregation Functions: A Guide for Practitioners
Sensitivity Analysis of the OWA Operator
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Using Stress Functions to Obtain OWA Operators
IEEE Transactions on Fuzzy Systems
Parametric aggregation in ordered weighted averaging
International Journal of Approximate Reasoning
Models to determine parameterized ordered weighted averaging operators using optimization criteria
Information Sciences: an International Journal
International Journal of Intelligent Systems
Penalty-based continuous aggregation operators and their application to group decision making
Knowledge-Based Systems
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We consider an application of fuzzy logic connectives to statistical regression. We replace the standard least squares, least absolute deviation, and maximum likelihood criteria with an ordered weighted averaging (OWA) function of the residuals. Depending on the choice of the weights, we obtain the standard regression problems, high-breakdown robust methods (least median, least trimmed squares, and trimmed likelihood methods), as well as new formulations. We present various approaches to numerical solution of such regression problems. OWA-based regression is particularly useful in the presence of outliers, and we illustrate the performance of the new methods on several instances of linear regression problems with multiple outliers.