0600834 20250331111329.620241113235959.9 12 s. E cav_un_epca*0600833978-80-905688-0-814-25PrahaÚTIA AV ČR2024 belief function conflict degree of conflict cav_un_auth*0100740 Daniel Milan UIVT-O Oddělení složitých systémů Department of Complex Systems Ústav informatiky AV ČR, v. v. i. cav_un_auth*0216188 Kratochvíl Václav UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory CZ Ústav teorie informace a automatizace AV ČR, v. v. i. https://cjs.utia.cas.cz/2024/proceedings.pdf#section.0.2 https://library.utia.cas.cz/separaty/2024/MTR/kratochvil-0600834.pdf 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. cav_un_auth*0476414 Czech-Japan Seminar on Data Analysis and Decision Making 2024 /24./ 20240909 20240912 Telč CZ BB 10000 10100 10102 2025 2 UIVT-O 10000 10200 10201 PR RVO:67985556 RVO:67985807 https://hdl.handle.net/11104/0358254 S 2024 C SCOPUS PUBMED WOS pdf cav_un_epca*0600833 Proceedings of the 24th Czech-Japan Seminar on Data Analysis and Decision Making ÚTIA AV ČR 2024 Praha 14 25 978-80-905688-0-8