Original title: On cardinalities of different degrees of Belief functions conjunctive conflictness
Authors: Daniel, Milan ; Kratochvíl, Václav
Document type: Papers
Conference/Event: Czech-Japan Seminar on Data Analysis and Decision Making 2024 /24./, Telč (CZ), 20240909
Year: 2024
Language: eng
Abstract: This paper examines mutual conflict behavior between belief function structures across different discernment frame sizes (\(\Omega\)). Through experiments on \(\Omega_2\) to \(\Omega_6\), we observe that as frame size increases, non-conflicting pairs and higher-order hidden conflicts become exceedingly relatively rare despite the exponential growth of cardinalities of their classes. The super-exponential growth of possible belief structures complicates exhaustive analysis, leading us to employ random sampling. Our findings reveal that the cardinality of a class of first-degree hidden conflicts (HC\(_1\)) grows faster than non-conflicts as frame size increases, highlighting the challenges and implications of applying belief function theory in complex decision-making scenarios.
Keywords: belief function; conflict; degree of conflict
Host item entry: Proceedings of the 24th Czech-Japan Seminar on Data Analysis and Decision Making, ISBN 978-80-905688-0-8
Note: Související webová stránka: https://cjs.utia.cas.cz/2024/proceedings.pdf#section.0.2

Institution: Institute of Information Theory and Automation AS ČR (web)
Document availability information: Fulltext is available at external website.
External URL: https://library.utia.cas.cz/separaty/2024/MTR/kratochvil-0600834.pdf
Original record: https://hdl.handle.net/11104/0358254

Permalink: http://www.nusl.cz/ntk/nusl-668310


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Research > Institutes ASCR > Institute of Information Theory and Automation
Conference materials > Papers