Cores and Weber sets for fuzzy extensions of cooperative games

摘要

This paper investigates fuzzy extensions of cooperative games and the coincidence of the solutions for fuzzy and crisp games. We show that an exact game has an exact fuzzy extension such that its fuzzy core coincides with the core. For games with empty cores, we exploit Lovasz extensions to establish the coincidence of Weber sets for fuzzy and crisp games. (C) 2014 Elsevier B.V. All rights reserved.