20.500.12556/DiRROS-18396 Coherence and avoidance of sure loss for standardized functions and semicopulas We discuss avoidance of sure loss and coherence results for semicopulas and standardized functions, i.e., for grounded, $1$-increasing functions with value $1$ at $(1, 1, \ldots , 1)$. We characterize the existence of a $k$-increasing $n$-variate function $C$ fulfilling $A \le C \le B$ for standardized $n$-variate functions $A$, $B$ and discuss methods for constructing such functions. Our proofs also include procedures for extending functions on some countably infinite mesh to functions on the unit box. We provide a characterization when $A$ respectively $B$ coincides with the pointwise infimum respectively supremum of the set of all $k$-increasing $n$-variate functions $C$ fulfilling $A \le C \le B$. copulas quasi-copulas semicopulas standardized function coherence avoidance of sure loss k-increasing function true false true Angleški jezik Ni določen Neznano 2024-03-13 14:50:49 2024-03-13 14:50:49 2024-03-14 03:34:24 0000-00-00 00:00:00 2024 0 0 Soavtorji: Damjana Kokol Bukovšek, Blaž Mojškerc, Matjaž Omladič, Susanne Saminger-Platz, Nik Stopar; 20 str. article no. ǂ109089 Vol. 165 Feb. 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2024-02-01 519.2 0888-613X 10.1016/j.ijar.2023.109089 174544131 1-s2.0-S0888613X23002207-main.pdf 1-s2.0-S0888613X23002207-main.pdf 1 D9406392F0C75E73A77367F0E8358A79 c042ca63ed8f69ec2c4b69fb80806435c4c83c9c01d155d0bd6ffedc59fbc1d9 f755b30b-e140-11ee-9dd4-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=25047 https://www.sciencedirect.com/science/article/pii/S0888613X23002207 0 ec9a2cc7-e140-11ee-9dd4-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=25046 Inštitut za matematiko, fiziko in mehaniko 0 0 0