Theory and applications of computability choquet capacities and fuzzy integrals
Verwacht over 3 weken
mso-bidi-font-family: Symbol;">· Various simplification assumptions, from k-additive, p-symmetric and
Choquet capacities, which provide the weighting mechanism for the Choquet and other fuzzy integrals, model synergistic and antagonistic interactions between variables by assigning value to all subsets rather than individual inputs.
This book provides a detailed overview of the background concepts relating to capacities and their role in fuzzy integration and aggregation, then presents specialised chapters on most recent results in learning, random sampling and optimization that involve Choquet capacities.
Topics and features:
· Fundamentals of Choquet capacities (fuzzy measures) and their use in modeling importance and interaction between variables
· Definitions, properties and mappings between alternative representations that allow capacities and fuzzy integrals to be interpreted and applied in different settings
· Capacity learning formulations that allow the diverse types to be elicited from datasets or according to user-specified requirements· Recent findings related to random sampling and optimisation with Choquet integral objectives
This book includes illustrative examples and guidance for implementation, including an appendix detailing functions found in the pyfmtools software library. It aims to be useful for practitioners and researchers in decision and data-driven fields, or those who wish to apply these emerging tools to new problems.
The authors are all affiliated with the School of Information Technology at Deakin University, Australia. Gleb Beliakov is a professor, Simon James and Jian-Zhang Wu is a Research Fellow.
- Bekijk alle specificaties
Taal: en
Uitvoering: Hardcover
Oorspronkelijke releasedatum: 18 november 2025
Aantal pagina's: 400
Illustraties: Met illustraties
Hoofdauteur: Gleb Beliakov
Tweede Auteur: Simon James
Hoofduitgeverij: Springer International Publishing Ag
Fabrikantgegevens: De informatie van de fabrikant is momenteel niet beschikbaar.
Product breedte: 155 mm
Product lengte: 235 mm
Verpakking breedte: 155 mm
Verpakking hoogte: 27 mm
Verpakking lengte: 235 mm
Verpakkingsgewicht: 750 g
EAN: 9783031970696