Positively homogeneous and super-/sub-additive aggregation functions

DOI10.1016/J.FSS.2022.04.015zbMath1522.03283OpenAlexW4229010949MaRDI QIDQ6061496

Katarína Hriňáková, Ivana Seligova, Adam Šeliga

Publication date: 31 October 2023

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2022.04.015

zbMATH Keywords

concavityaggregation functionspositive homogeneitygeneralized opposite diagonal functions

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72)

Cites Work

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• On the existence of aggregation functions with given super-additive and sub-additive transformations
• Construction method of coherent lower and upper previsions based on collection integrals
• Absorbent tuples of aggregation operators
• Superadditive and subadditive transformations of integrals and aggregation functions
• Remarks on Super-Additive and Sub-Additive Transformations of Aggregation Functions
• Lifting continuity properties of aggregation functions to their super- and sub-additive transformations
• Continuity of super- and sub-additive transformations of continuous functions
• Characterization of homogeneous and quasi-homogeneous binary aggregation functions

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