局中人具有偏好关系的区间合作对策问题

INTERVAL COOPERATIVE GAMES AMONG THE PLAYERS WITH PREFERENCE RELATIONS

针对传统的区间合作对策存在的问题,利用中心三角模糊数定义区间数的偏好关系,建立了局中人对收益有偏好关系的区间合作对策模型.定义了有相同偏好关系的区间合作对策的λ-区间核心,讨论了λ-区间核心非空的充要条件以及该区间核心的求解方法,并证明了λ-区间核心与(1-λ)截对策的区间核心之间存在双射关系.此外,对有不同偏好关系的区间合作对策进行了探讨.最后,通过一个收益分配的算例说明了该模型的适用性与该区间核心的可行性.

In the light of the problems existed in the traditional interval cooperative games,the model of interval cooperative games among the players with preference relations is established.This model is based on the interval ordering relations and the central triangular fuzzy numbers.A necessary and sufficient condition for the nonempty of A-interval core is given.The bijection from the A-interval core onto a new interval core is given,and the method for solving the A-interval core is obtained. The interval cooperative games in which the players have different preference relations is also studied.Finally,a numerical example involved with payoffs distribution shows the effectiveness of the model and the interval core.