区间合作对策在增广系统上的区间Shapley值

Interval Shapley Value for Cooperative Interval Games on Augmenting Systems

给出了区间合作对策在增广系统上的定义,并利用相应的公理体系及区间数运算的性质,构造出区间合作对策在增广系统上的区间Shapley值,论证了当对策为区间凸对策时的区间Shapley值的唯一性,且探讨了该区间Shapley值的一些性质。最后通过算例来说明在此类区间合作对策上所提方法的实用性与有效性。

This paper focuses on the Shapley value for cooperative games where the set of player is restraint on augmenting systems and the coalition values are compact intervals of real numbers. The interval Shapley value for cooperative interval games on augmenting systems is put forward on the basis of corresponding axiomatic system and operations of interval numbers. Moreover, the existence and uniqueness and some properties of the interval Shapley 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.