Piecewise linear aggregation functions based on triangulation

DOI10.1016/j.ins.2010.10.002zbMath1213.68618OpenAlexW2011909481WikidataQ60257166 ScholiaQ60257166MaRDI QIDQ621637

Radko Mesiar, Bernard De Baets, H. E. De Meyer

Publication date: 28 January 2011

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2010.10.002

zbMATH Keywords

copulamonotonicitytriangulationapproximationChoquet integralaggregation functionpiecewise linear functionquasi-copula

Mathematics Subject Classification ID

Reasoning under uncertainty in the context of artificial intelligence (68T37) Fuzzy measure theory (28E10)

Related Items (13)

Characterizations of bivariate conic, extreme value, and Archimax copulas ⋮ Unnamed Item ⋮ Aggregation functions and contradictory information ⋮ Some properties of weak uninorms ⋮ Biconic aggregation functions ⋮ Zero-linear copulas ⋮ On a certain class of aggregative operators ⋮ Quadratic constructions of copulas ⋮ The distribution of the probability mass of biconic copulas ⋮ On linear and quadratic constructions of aggregation functions ⋮ Conic aggregation functions ⋮ Directional dependence of random vectors ⋮ The role of generalized convexity in conic copula constructions

Uses Software

• Aggregation operators approximation tool

Cites Work

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• An introduction to copulas.
• Construction of aggregation functions from data using linear programming
• Statistically grounded logic operators in fuzzy sets
• On some construction methods for 1-Lipschitz aggregation functions
• Flipping and cyclic shifting of binary aggregation functions
• Non-additive measure and integral
• Triangular norms
• Absorbent tuples of aggregation operators
• Conjunctors and their residual implicators: characterizations and construction methods
• Construction of aggregation operators for automated decision making via optimal interpolation and global optimization
• Weighted aggregation operators based on minimization
• Theory of capacities
• How to build aggregation operators from data
• MONOTONE APPROXIMATION OF AGGREGATION OPERATORS USING LEAST SQUARES SPLINES
• FITTING GENERATED AGGREGATION OPERATORS TO EMPIRICAL DATA
• POINTWISE CONSTRUCTION OF LIPSCHITZ AGGREGATION OPERATORS WITH SPECIFIC PROPERTIES
• Aggregation operators. New trends and applications

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