Kharazmi University International Journal of Supply and Operations Management 2383-1359 4 3 2017 08 01 Cooperative Grey Games: Grey Solutions and an Optimization Algorithm 202 215 2740 10.22034/2017.3.02 EN Osman Palanci Suleyman Demirel University, Isparta, Turkey Mehmet Onur Olgun Suleyman Demirel University, Isparta, Turkey Serap Ergun Suleyman Demirel University, Isparta, Turkey Sırma Zeynep Alparslan Gok Suleyman Demirel University, Isparta, Turkey 0000-0001-9435-0527 Gerhard Wilhelm Weber Institute of Applied Mathematics, Middle East Technical University and Poznan University of Technology, Poznan, Poland Journal Article 2018 02 07 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<br />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<br />conclusion and an outlook to future investigations. Cooperative grey games Grey core Grey dominance core Grey stable sets Linear optimization Social networks http://www.ijsom.com/article_2740_96f2b50b5d3613adf9c27049b2a888c7.pdf