# American Institute of Mathematical Sciences

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A zero sum differential game with correlated informations on the initial position. A case with a continuum of initial positions
July  2021, 8(3): 267-275. doi: 10.3934/jdg.2021010

## On cooperative fuzzy bubbly games

 Süleyman Demirel University, Faculty of Arts and Sciences, Department of Mathematics, Isparta, 32260, Turkey

* Corresponding author: ismailozcanmath@gmail.com

Received  July 2020 Revised  January 2021 Published  July 2021 Early access  March 2021

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

Citation: İsmail Özcan, Sirma Zeynep Alparslan Gök. On cooperative fuzzy bubbly games. Journal of Dynamics & Games, 2021, 8 (3) : 267-275. doi: 10.3934/jdg.2021010
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