Cooperative Grey Games: Grey Solutions and an Optimization Algorithm

Document Type: Research Paper

Authors

1 Suleyman Demirel University, Isparta, Turkey

2 Institute of Applied Mathematics, Middle East Technical University and Poznan University of Technology, Poznan, Poland

Abstract

In this paper, some set-valued solutions using grey payoffs, namely, the grey core, the grey dominance core and the grey stable sets for cooperative grey games, are introduced and studied. Our main results contained are relations between the grey core, the grey dominance core and the grey stable sets of such a game. Moreover, we present a linear programming (LP) problem for the grey core. On the other hand, we suggest a corresponding optimization-based
algorithm finding the grey core element of a cooperative grey game. Finally, we give an application how cooperative grey game theory can be used to model users' behaviors in various multimedia social networks. The paper ends with a
conclusion and an outlook to future investigations.

Keywords

Main Subjects


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