On cooperative fuzzy bubbly games

The allocation problem of rewards/costs is a basic question for players namely individuals and companies that planning cooperation under uncertainty. The involvement uncertainty in cooperative game theory motivated by the real world where noise observation experimental design, incomplete information further vagueness preference structures decision-making play an important role. In this paper we extend bubbly games to fuzzy games, worth each coalition bubble instead interval. Further, introduce set-valued concept called core. Finally, some results on core are given.