Publication details
Conference Paper (international conference)
On cardinalities of different degrees of Belief functions conjunctive conflictness
,
: Proceedings of the 24th Czech-Japan Seminar on Data Analysis and Decision Making, p. 14-25
: Czech-Japan Seminar on Data Analysis and Decision Making 2024 /24./, (Telč, CZ, 20240909)
: belief function, conflict, degree of conflict
: https://cjs.utia.cas.cz/2024/proceedings.pdf#section.0.2
: https://library.utia.cas.cz/separaty/2024/MTR/kratochvil-0600834.pdf
(eng): 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.
: BB
: 10102