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Abstract
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Article Information:
The Interval Shapley Value for Type-2 Interval Games
Fanyong Meng and Feng Liu
Corresponding Author: Fanyong Meng
Submitted: December 23, 2011
Accepted: January 21, 2012
Published: May 15, 2012 |
Abstract:
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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.
Key words: Cooperative game, interval core, interval number, interval Shapley value, , ,
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Abstract
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Cite this Reference:
Fanyong Meng and Feng Liu, . The Interval Shapley Value for Type-2 Interval Games. Research Journal of Applied Sciences, Engineering and Technology, (10): 1334-1342.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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