MONOTONE APPROXIMATION OF AGGREGATION OPERATORS USING LEAST SQUARES SPLINES
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Publication:4809736
DOI10.1142/S0218488502001715zbMath1074.68620OpenAlexW2076356721MaRDI QIDQ4809736
Publication date: 30 August 2004
Published in: International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218488502001715
Theory of fuzzy sets, etc. (03E72) Reasoning under uncertainty in the context of artificial intelligence (68T37) Spline approximation (41A15)
Related Items (13)
Construction of aggregation functions from data using linear programming ⋮ FITTING GENERATED AGGREGATION OPERATORS TO EMPIRICAL DATA ⋮ On the random generation and counting of weak order extensions of a poset with given class cardinalities ⋮ Piecewise linear aggregation functions based on triangulation ⋮ On tail dependence coefficients of transformed multivariate Archimedean copulas ⋮ Fitting Aggregation Functions to Data: Part I - Linearization and Regularization ⋮ Fitting Aggregation Functions to Data: Part II - Idempotization ⋮ On the random generation of monotone data sets ⋮ Mixture functions and their monotonicity ⋮ The median and its extensions ⋮ Monotonicity preserving approximation of multivariate scattered data ⋮ Unnamed Item ⋮ Learning weights in the generalized OWA operators
Uses Software
Cites Work
- Algorithm 587
- A model for the measurement of membership and the consequences of its empirical implementation
- A review of fuzzy set aggregation connectives
- Contrained interpolants with minimal \(W^{k,p}\)-norm
- The concept of grade of membership
- Latent connectives in human decision making
- Interpolation and approximation by monotone cubic splines
- A survey on univariate data interpolation and approximation by splines of given shape
- Uninorm aggregation operators
- Fuzzy sets and membership functions based on probabilities
- Surface fitting using convex tensor-product splines
- Definition of general aggregation operators through similarity relations
- APPROXIMATE REASONING AND INTERPRETATION OF LABORATORY TESTS IN MEDICAL DIAGNOSTICS
- Monotone Piecewise Bicubic Interpolation
- Monotonicity Preserving Surface Interpolation
- An Algorithm for Constrained Interpolation
- An algorithm for linear least squares problems with equality and nonnegativity constraints
- Algorithm 587: Two Algorithms for the Linearly Constrained Least Squares Problem
- Monotone B-Spline Smoothing
- Fuzzy sets
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