0503871 20240103221918.520190410235959.9 85061347765 000466259100011 10.1016/j.dam.2019.01.024 11 s. P cav_un_epca*02564970166-218X2601 (2019)144-154Elsevier Supermodular/submodular function Coalitional game Polyhedral cone cav_un_auth*0374262 50 Grabisch M. FR cav_un_auth*0101141 Department of Decision Making Theory 50 Kroupa Tomáš UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/sepaarty/2019/MTR/kroupa-0503871.pdf https://www.sciencedirect.com/science/article/pii/S0166218X19300599 cav_un_auth*0332303 GA16-12010S GA ČR CZ In this article we study supermodular functions on finite distributive lattices. Relaxing the assumption that the domain is a powerset of a finite set, we focus on geometrical properties of the polyhedral cone of such functions. Specifically, we generalize the criterion for extremality and study the face lattice of the supermodular cone. An explicit description of facets by the corresponding tight linear inequalities is provided. WOS BA 10000 10100 10101 2020 2 RVO:67985556 http://hdl.handle.net/11104/0295691 S 3+4 Article Cell Biology|Developmental Biology C MATHEMATICS.APPLIED 1.082 0.339 10.1 0.01299 0.559 6495 97 0.738 21.38 1.19 1466 Q2 0.858 443 Q3 38.307 42.7 Q3 Q4 0.72 Q3 42.72 2019 85061347765 SCOPUS PUBMED 000466259100011 WOS cav_un_epca*0256497 Discrete Applied Mathematics 0166-218X 1872-6771 Roč. 260 č. 1 2019 144 154 Elsevier