Choquet Capacities and Fuzzy Integrals, 9783031970696
Hardcover
Uncover interactions: Choquet capacities, fuzzy integrals, and their powerful applications.

$172.77

  • Hardcover

    373 pages

  • Release Date

    1 January 1970

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Summary

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.

While the flexibility of capacities (also referred to as fuzzy measures and cooperative games) comes at the expense of an exponentially increasing number of parameters, the ability to explain their behavior using various value and interaction indices makes …

Book Details

ISBN-13:9783031970696
ISBN-10:3031970691
Author:Gleb Beliakov, Simon James, Jian-Zhang Wu
Publisher:Springer International Publishing AG
Imprint:Springer International Publishing AG
Format:Hardcover
Number of Pages:373
Release Date:1 January 1970
Weight:0g
Dimensions:235mm x 155mm
Series:Theory and Applications of Computability
About The Author

Gleb Beliakov

Gleb Beliakov is a Professor in Mathematics at Deakin University, Australia. He completed his PhD in 1992 in Moscow and since then worked at various universities, for the last 25 years at Deakin University. His research is focused on computational mathematics, numerical optimisation and aggregation functions. He co-authored three monographs and numerous research papers in this area.

Simon James is an Associate Professor in Mathematics at Deakin University. He completed his Ph.D. there on the topic of aggregation functions in 2010 under the supervision of Gleb Beliakov and held an academic position there since 2011. His main research areas of aggregation and capacities (or fuzzy measures) are most commonly applied in computational intelligence and machine learning as prediction and analysis tools.

Jian-Zhang Wu was a Research Fellow at Deakin University. He received his PhD in Management Science and Engineering in 2011 from Beijing Institute of Technology and was previously a professor at Ningbo University. He has also worked as a chief data scientist in the finance industry. His research focuses on machine learning, decision-making, and explainable AI, especially using Choquet capacities and fuzzy integrals. He has led several national and provincial research projects in China.

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