The Interval Shapley Value for Type-2 Interval Games

Fan-Yong Meng ； Feng Liu

《Research Journal of Applied Sciences, Engineering and Technology》 4卷10期 (2012/05) Pp. 1334-1342

並列摘要

In this study, we research the so called type-2 interval games, where the player participation levels and the coalition values are both interval numbers. Two special kinds of type-2 interval games are studied. The interval Shapley values for these two special classes of type-2 interval games are researched. By establishing axiomatic systems, the existence and uniqueness of the given interval Shapley values are shown. When the associated interval games are convex, the given interval Shapley values Are Interval Population Monotonic Allocation Functions (IPMAF), and belong to the associated interval cores.

並列關鍵字

Cooperative game ； interval core ； interval number ； interval Shapley value