Strongly barycentrically associative and preassociative functions

DOI10.1016/J.JMAA.2015.12.046OpenAlexW1661525526MaRDI QIDQ5962553

Jean-Luc Marichal, Bruno Teheux

Publication date: 12 February 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.5897

zbMATH Keywords

functional equationbarycentric associativitybarycentric preassociativityquasi-arithmetic Mean functionstrong barycentric associativitystrong barycentric preassociativity

Mathematics Subject Classification ID

Mathematical logic and foundations (03-XX) Real functions (26-XX)

Cites Work

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• Barycentrically associative and preassociative functions
• Preassociative aggregation functions
• Characterization of some aggregation functions stable for positive linear transformations
• On an axiomatization of the quasi-arithmetic mean values without the symmetry axiom
• A characterization of barycentrically preassociative functions
• Associative string functions

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Barycentrically associative and preassociative functions

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