0393906 20240903170626.520130822235959.9 000322858500003 84881304978 16 s. P cav_un_epca*02971630023-5954493 (2013)404-419Ústav teorie informace a automatizace AV ČR, v. v. i. simple game game with fuzzy coalitions core McNaughton function Lukasiewicz logic cav_un_auth*0100737 Cintula Petr Oddělení teoretické informatiky Department of Theoretical Computer Science UIVT-O Department of Theoretical Computer Science Ústav informatiky AV ČR, v. v. i. cav_un_auth*0101141 Kroupa Tomáš Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://dml.cz/handle/10338.dmlcz/143355 GAP402/12/1309 GA ČR cav_un_auth*0284931 We propose a generalization of simple coalition games in the context of games with fuzzy coalitions. Mimicking the correspondence of simple games with non-constant monotone formulas of classical logic, we introduce simple Lukasiewicz games using monotone formulas of Lukasiewicz logic, one of the most prominent fuzzy logics. We study the core solution on the class of simple Lukasiewicz games and show that cores of such games are determined by finitely-many linear constraints only. The non-emptiness of core is completely characterized in terms of balanced systems and by the presence of strong veto players. 2014 BA 2 4 O 4o 20231122135657.8 RVO:67985807 RVO:67985556 http://hdl.handle.net/11104/0222591 COMPUTERSCIENCECYBERNETICS 0.577 0.098 9.IV 0.00191 0.341 655 61 0.348 ScienceCitationIndexExpanded Q2 35.159 31.250 Q3 Q3 2013 Soubory v repozitáři: Kybernetika_49-2013-3_3.pdf 84881304978 SCOPUS 000322858500003 WOS cav_un_epca*0297163 Kybernetika 0023-5954 Roč. 49 č. 3 2013 404 419 Ústav teorie informace a automatizace AV ČR, v. v. i.