0393906 - ÚI 2014 RIV CZ eng J - Článek v odborném periodiku
Cintula, Petr - Kroupa, Tomáš
Simple games in Lukasiewicz calculus and their cores.
Kybernetika. Roč. 49, č. 3 (2013), s. 404-419. ISSN 0023-5954
Grant CEP: GA ČR GAP402/12/1309
Institucionální podpora: RVO:67985807 ; RVO:67985556
Klíčová slova: simple game * game with fuzzy coalitions * core * McNaughton function * Lukasiewicz logic
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.563, rok: 2013
http://dml.cz/handle/10338.dmlcz/143355

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.
Trvalý link: http://hdl.handle.net/11104/0222591