0467581 20240103213208.120161220235959.9 Praha ÚTIA AV ČR v.v.i 2016 37 s. P Research Report 2359 supermodular function standardizations extreme supermodular function cav_un_auth*0101202 Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Studený Milan UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2016/MTR/studeny-0467581.pdf cav_un_auth*0332303 GA16-12010S GA ČR CZ Elementary facts and observations on the cone of supermodular set functions are recalled. The manuscript deals with such operations with set functions which preserve supermodularity and the emphasis is put on those such operations which even preserve extremality (of a supermodular function). These involve a few self-transformations of the cone of supermodular set functions. Moreover, projections to the (less-dimensional) linear space of set functions for a subset of the variable set are discussed. Finally, several extensions to the (more-dimensional) linear space of set functions for a superset of the variable set are shown to be both preserving supermodularity and extremality. BA 2017 1 4 O 4o 20231122142123.5 RVO:67985556 http://hdl.handle.net/11104/0266860 S 2016 Soubory v repozitáři: 0467581.pdf 2016 Praha ÚTIA AV ČR v.v.i