Transportation interval situations and related games
Transportation interval situations and related games
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交通间隔情况及相关游戏
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
G. Weber
中科院分区：
文献类型：
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作者：
O. Palanci;S. Z. A. Gök;M. O. Olgun;G. Weber
基本上，不确定性存在于几乎每一个现实世界的情况下，它影响和质疑我们的决定。在本文中，我们分析了相应的运输间隔情况下的运输间隔博弈。在这些情况下，它可能会影响商品的最佳数量，从而影响是否以及有多少产品从生产商运输到零售商。首先，我们引入了区间Shapley值的博弈所产生的运输情况下的不确定性。其次，利用一个单阶段生产者，根据比例、约束等奖和约束等损准则，给出了一点解的概念。我们证明了运输区间博弈是区间平衡的（I-平衡）。此外，还给出了区间对策的区间核心的非空性以及区间核心与运输情形的对偶区间最优解之间关系的一些结果.此外，我们使用平方运算符和解决两种情况下，如悲观和乐观的区间核心的特征。
Basically, uncertainty is present in almost every real-world situation, it is influencing and questioning our decisions. In this paper, we analyze transportation interval games corresponding to transportation interval situations. In those situations, it may affect the optimal amount of goods and consequently whether and how much of a product is transported from a producer to a retailer. Firstly, we introduce the interval Shapley value of a game arising from a transportation situation under uncertainty. Secondly, a one-point solution concept by using a one-stage producere depending on the proportional, the constrained equal awards and the constrained equal losses rule is given. We prove that transportation interval games are interval balanced ($$\mathcal {I}$$I-balanced). Further, the nonemptiness of the interval core for the transportation interval games and some results on the relationship between the interval core and the dual interval optimal solutions of the underlying transportation situations are also provided. Moreover, we characterize the interval core using the square operator and addressing two scenarios such as pessimistic and optimistic.