A modal logic to reason about degrees of coalitional effectivity
English
Kroupa, Tomas[Academy of Sciences of the Czech Republic > Institute of Information Theory and Automation Theory]
Teheux, Bruno[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Nov-2014
Rencontres francophones sur la logique floue et ses applications 2014
Lauber, Jimmy
Bisgambiglia, Paul-Antoine
Cépaduès-éditions
Yes
International
9782364931565
Toulouse
France
Rencontres francophones sur la logique floue et ses applications 2014
from 22-10-2014 to 24-10-2014
Université de Corse
Cargèse
France
[en] game theory ; modal logic ; many-valued logic
[en] We generalize the notion of alpha-effectivity in order to express the degree with which a coalition can enforce a fuzzy-set of outcomes. Then, we introduce a modal extension of Łukasiewicz n+1-valued logic together with a complete many-valued neighborhood semantics in order to encode the properties of these many-valued effectivity functions.