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Cooperative Grey Games: An Application on Transportation Situations

Cooperative Grey Games: An Application on Transportation Situations
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Author(s): Sirma Zeynep Alparslan-Gök (Süleyman Demirel University, Turkey), Emad Qasım (Süleyman Demirel University, Turkey), Osman Palancı (Süleyman Demirel University, Turkey) and Mehmet-Onur Olgun (Süleyman Demirel University, Turkey)
Copyright: 2020
Pages: 37
Source title: Emerging Applications of Differential Equations and Game Theory
Source Author(s)/Editor(s): Sırma Zeynep Alparslan Gök (Süleyman Demirel University, Turkey) and Duygu Aruğaslan Çinçin (Süleyman Demirel University, Turkey)
DOI: 10.4018/978-1-7998-0134-4.ch006

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Abstract

In this chapter, the authors extend transportation situations under uncertainty by using grey numbers. Further, they try in this research building models for grey game problems on transportation situations proposing the ideas of grey solutions and their corresponding structures. They introduce cooperative grey games and grey solutions. They focus on the grey Shapley value and the grey core of the modeled game arising from transportation situations. Moreover, they prove the nonemptiness of the grey core for the transportation grey games, and some results on the relationship between the grey core.

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