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Journals / Journal of Turkish Operations Management / 2024 / Cilt: 8 Sayı: 2

On the core of cooperative grey games under bubbly uncertainty

İsmail Özcan(SULEYMAN DEMIREL UNIVERSITY)0000-0002-2021-7069
Sırma Zeynep Alparslan Gök(SULEYMAN DEMIREL UNIVERSITY)0000-0001-9435-0527
Gerhard-wilhelm Weber(Poznan University of Technology)0000-0003-0849-7771
Pages
530–536
Publication Date
2024-12-31
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In addition, a numerical example is provided along with a required criterion for non-emptiness of the bubbly grey core of such a game.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper introduces a novel category of cooperative games called cooperative bubbly grey games, in which the value of each coalition is represented by a grey bubble rather than a numerical value.
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Key Findings & Data:To be exact, rather of using actual numbers, the coalition values are rep- resented as bubbles.
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Conclusion & Impact:In addition, a numerical example is provided along with a required criterion for non-emptiness of the bubbly grey core of such a game.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:cooperative game theory · grey numbers · uncertainty

Abstract

This paper introduces a novel category of cooperative games called cooperative bubbly grey games, in which the value of each coalition is represented by a grey bubble rather than a numerical value. To be exact, rather of using actual numbers, the coalition values are rep- resented as bubbles. Accordingly, we use the cooperative grey game model to overcome the bubbly uncertainty. Both the idea of the bub- bly core and the cooperative bubbly game concept are introduced. Grey data may be used as a tool in cooperative grey games to address pro…t or cost-sharing challenges. When considering cooperative grey bubbly games, we can take the advantage of the fact that each bubble are characterized exactly by grey numbers where the logarithmic grey price process is represented with bubbles. Additionally, the bubbly core, a novel solution concept, is presented. In addition, a numerical example is provided along with a required criterion for non-emptiness of the bubbly grey core of such a game.

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Cite This Article

Özcan, İ., Gök, S. Z. A., Weber, G. (2024). On the core of cooperative grey games under bubbly uncertainty. Journal of Turkish Operations Management, Cilt: 8 Sayı: 2, 530–536. https://doi.org/10.56554/jtom.1285698

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