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Choquet-inspired aggregation functions

H. Bustince, R. Mesiar, G.P. Dimuro, J. Fernandez, J. Lafuente and Bernard De Baets (UGent)
(2026) INFORMATION FUSION. 126(part A).
Author
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Abstract
In this work, we propose a new family of aggregation functions inspired by the well-known Choquet integral. To build these functions, we replace the measure in the definition of the Choquet integral by an appropriate function. We study the properties of these aggregation functions and explore the relations with some other common aggregation functions such as order statistics and overlap and grouping functions.
Keywords
Aggregation function, Choquet-inspired aggregation function, Fuzzy integral, INTEGRALS

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Citation

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MLA
Bustince, H., et al. “Choquet-Inspired Aggregation Functions.” INFORMATION FUSION, vol. 126, no. part A, 2026, doi:10.1016/j.inffus.2025.103499.
APA
Bustince, H., Mesiar, R., Dimuro, G. P., Fernandez, J., Lafuente, J., & De Baets, B. (2026). Choquet-inspired aggregation functions. INFORMATION FUSION, 126(part A). https://doi.org/10.1016/j.inffus.2025.103499
Chicago author-date
Bustince, H., R. Mesiar, G.P. Dimuro, J. Fernandez, J. Lafuente, and Bernard De Baets. 2026. “Choquet-Inspired Aggregation Functions.” INFORMATION FUSION 126 (part A). https://doi.org/10.1016/j.inffus.2025.103499.
Chicago author-date (all authors)
Bustince, H., R. Mesiar, G.P. Dimuro, J. Fernandez, J. Lafuente, and Bernard De Baets. 2026. “Choquet-Inspired Aggregation Functions.” INFORMATION FUSION 126 (part A). doi:10.1016/j.inffus.2025.103499.
Vancouver
1.
Bustince H, Mesiar R, Dimuro GP, Fernandez J, Lafuente J, De Baets B. Choquet-inspired aggregation functions. INFORMATION FUSION. 2026;126(part A).
IEEE
[1]
H. Bustince, R. Mesiar, G. P. Dimuro, J. Fernandez, J. Lafuente, and B. De Baets, “Choquet-inspired aggregation functions,” INFORMATION FUSION, vol. 126, no. part A, 2026.
@article{01K5XQPTCJAHRSNNNSZB53Q2CN,
  abstract     = {{In this work, we propose a new family of aggregation functions inspired by the well-known Choquet integral. To build these functions, we replace the measure in the definition of the Choquet integral by an appropriate function. We study the properties of these aggregation functions and explore the relations with some other common aggregation functions such as order statistics and overlap and grouping functions.}},
  articleno    = {{103499}},
  author       = {{Bustince, H. and Mesiar, R. and Dimuro, G.P. and Fernandez, J. and Lafuente, J. and De Baets, Bernard}},
  issn         = {{1566-2535}},
  journal      = {{INFORMATION FUSION}},
  keywords     = {{Aggregation function,Choquet-inspired aggregation function,Fuzzy integral,INTEGRALS}},
  language     = {{eng}},
  number       = {{part A}},
  pages        = {{8}},
  title        = {{Choquet-inspired aggregation functions}},
  url          = {{http://doi.org/10.1016/j.inffus.2025.103499}},
  volume       = {{126}},
  year         = {{2026}},
}
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