0639114 20260226095142.820250922235959.9 12 s. E cav_un_epca*06391139-20OsakaOsaka Metropolitan University2025KusunokiYoshifumiKratochvílVáclav belief functions linear programing polytop 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. cav_un_auth*0101118 Jiroušek Radim UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0100740 Daniel Milan UIVT-O Oddělení složitých systémů Department of Complex Systems Ústav informatiky AV ČR, v. v. i. https://library.utia.cas.cz/separaty/2025/MTR/kratochvil-0639114.pdf We present a polyhedral framework for learning belief functions from data when empirical lower and upper probability bounds are obtained from Jeffreys’ binomial confidence intervals. Such bounds, interpreted as empirical belief and plausibility values for all subsets of the outcome space, generally yield a pseudo-belief function that may not correspond to any valid basic probability assignment (BPA) satisfying the axioms of Dempster–Shafer theory. Our approach formulates the correction problem as a system of linear constraints in the BPA space, where the feasible solutions form a convex polyhedron of belief functions consistent with the empirical bounds. We investigate several linear optimization criteria for selecting a representative BPA from this feasible set, including L1-projection to the empirical lower bounds, Dubois–Prade entropy maximization, sparsity-oriented objectives, and cardinality-weighted allocations. cav_un_auth*0493525 Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty 2025 /25./ 20250909 20250912 Otsu City, Siga JP BB 10000 10100 10103 2026 3 UIVT-O 10000 10200 10201 PR RVO:67985556 RVO:67985807 https://hdl.handle.net/11104/0370095 S 2025 SCOPUS PUBMED WOS www 6MB cav_un_epca*0639113 Proceedings of the 25th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty Osaka Metropolitan University 2025 Osaka 9 20 Kusunoki Yoshifumi 340 Kratochvíl Václav 340