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A Weighted Matrix Visualization for Fuzzy Measures and Integrals

Buck, A, Anderson, D, Keller, J, Wilkin, T and Islam, M 2020, A Weighted Matrix Visualization for Fuzzy Measures and Integrals, in 2020 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), IEEE, Piscataway, NJ, doi: 10.1109/FUZZ48607.2020.9177775.

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Title A Weighted Matrix Visualization for Fuzzy Measures and Integrals
Author(s) Buck, A
Anderson, D
Keller, J
Wilkin, TORCID iD for Wilkin, T orcid.org/0000-0003-4059-1354
Islam, M
Conference name IEEE International Conference on Fuzzy Systems
Conference location Glasgow, United Kingdom
Conference dates 2020/07/19 - 2020/07/24
Title of proceedings 2020 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)
Editor(s) Zhang, M
Publication date 2020
Total pages 8
Publisher IEEE
Place of publication Piscataway, NJ
Summary Fuzzy integrals are useful general purpose aggregation operators, but they can be difficult to understand and visualize in practice. The interaction between an exponentially increasing number of variables–2 n fuzzy measure variables for n inputs–makes it hard to understand what exactly is going on in a high dimensional space. We propose a new visualization scheme based on a weighted indicator matrix to better understand the inner workings of an arbitrary fuzzy measure. We provide ways of viewing the Shapley and interaction indices, as well as an optional data coverage histogram. This approach can give insight into which sources are the most relevant in the overall aggregation and decision making process, and it provides a way to visually compare fuzzy measures and subsequently integrals.
Notes Conference was held online due to the COVID-19 pandemic.
ISBN 978-1-7281-6932-3
ISSN 1558-4739
Language eng
DOI 10.1109/FUZZ48607.2020.9177775
Indigenous content off
HERDC Research category E1 Full written paper - refereed
Copyright notice ©2020, IEEE
Free to Read? Yes
Persistent URL http://hdl.handle.net/10536/DRO/DU:30141076

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Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au.