Interval Banzhaf Value for Cooperative Interval Games on Augmenting Systems

Abstract:

This paper focuses on the Banzhaf value for cooperative games where the set of players is restraint on augmenting systems and the coalition values are compact intervals of real numbers. The interval Banzhaf value for cooperative interval games on augmenting systems is put forward on the basis of corresponding axiomatic system and operations of interval numbers. Moreover, some properties of the interval Banzhaf value are given. Finally, a practical example is offered to illustrate the validity and feasibility of this method on these kinds of cooperative interval games.

• Periodical: Advanced Materials Research (Volumes 1030-1032)
• Pages: 1726-1732
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.1030-1032.1726
• Online since: September 2014
• Authors: Zuo Feng Gao, Chao Han, Jing Wu
• Keywords: Augmenting Systems, Cooperative Game, Interval Banzhaf Value, Interval Number

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