20.500.12556/RUL-169445 Extreme values of the mass distribution associated with d-quasi-copulas via linear programming The recent survey (J.J. Arias-García, R. Mesiar, B. De Baets, A hitchhiker’s guide to quasi-copulas, Fuzzy Sets Syst. 393 (2020) 1–28.) nicknamed “Hitchhiker's Guide” has raised the rating of quasi-copula problems in the dependence modeling community in spite of the lack of statistical interpretation of quasi-copulas. This paper concentrates on Open Problem 5 of this list concerning bounds on the volume of a d-variate quasi-copula. We disprove a recent conjecture (M. Úbeda-Flores, Extreme values of the mass distribution associated with a tetravariate quasi-copula, Fuzzy Sets Syst. 473 (2023).) on the lower bound of this volume. We also give evidence that the problem is much more difficult than suspected, and give some hints towards its final solution. mass distribution d-quasi-copula volume Lipschitz condition bounds true false true Angleški jezik Ni določen Članek v reviji 2025-05-28 15:19:13 2025-05-28 15:19:22 2025-05-30 03:43:32 0000-00-00 00:00:00 2025 0 0 17 str. art. 109457 Vol. 517 Oct. 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 519.2 0165-0114 10.1016/j.fss.2025.109457 237374979 Extreme_values_of_the_mass_distribution_associated_with_d-quasi-copulas_via_linear_programming.pdf Extreme_values_of_the_mass_distribution_associated_with_d-quasi-copulas_via_linear_programming.pdf 1 B22164F45C6AAFDE3FC416F3C3EB747D ba6ad47a17f0cbae6d7d3abac77d1e636943e992eef3b5bac2c068abf0c28a36 2709ce23-3bcb-11f0-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=210812 https://www.sciencedirect.com/science/article/pii/S0165011425001964 1 13c73a46-3bc5-11f0-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=210805 Fakulteta za računalništvo in informatiko Fakulteta za matematiko in fiziko 0 0 0