Pi and the AGM: a study in the analytic number theory and computational complexity
Pi and the AGM: a study in the analytic number theory and computational complexity
An algorithm for constructing convexity and monotonicity-preserving splines in tension
Computer Aided Geometric Design
Interpolation and approximation by monotone cubic splines
Journal of Approximation Theory
Monotone approximation of aggregation operators using least squares splines
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
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
Information Sciences: an International Journal
Weighted aggregation operators based on minimization
Information Sciences: an International Journal
Aggregation Functions: A Guide for Practitioners
Aggregation Functions: A Guide for Practitioners
Journal of Computer and System Sciences
Aggregation functions based on penalties
Fuzzy Sets and Systems
Fuzzy Sets and Their Extensions: Representation, Aggregation and Models Intelligent Systems from Decision Making to Data Mining, Web Intelligence and Computer Vision
Sensitivity Analysis of the OWA Operator
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Quantitative weights and aggregation
IEEE Transactions on Fuzzy Systems
Aggregating fuzzy implications
Information Sciences: an International Journal
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We review various representations of the median and related aggregation functions. An advantage of the median is that it discards extreme values of the inputs, and hence exhibits a better central tendency than the arithmetic mean. However, the value of the median depends on only one or two central inputs. Our aim is to design median-like aggregation functions whose value depends on several central inputs. Such functions will preserve the stability of the median against extreme values, but will take more inputs into account. A method based on graduation curves is presented.