Cooperative Grey Games: Grey Solutions and an Optimization Algorithm

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 set...

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Bibliographic Details
Published inInternational journal of supply and operations management Vol. 4; no. 3; pp. 202 - 215
Main Authors Osman Palanci, Mehmet Onur Olgun, Serap Ergun, Sırma Zeynep Alparslan Gok, Gerhard Wilhelm Weber
Format Journal Article
LanguageEnglish
Published Kharazmi University 01.08.2017
Subjects
cooperative grey games
grey core
grey dominance core
grey stable sets
linear optimization
social networks
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Summary: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.
ISSN:2383-1359
2383-2525
DOI:10.22034/2017.3.02