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带风险偏好的区间支付交流结构合作博弈及平均树解

杨洁1,刘家财2   

  1. 1. 福建农林大学管理学院,福州 350002;2. 福建农林大学交通与土木工程学院,福州 350002
  • 出版日期:2019-05-25 发布日期:2019-08-28

杨洁,刘家财. 带风险偏好的区间支付交流结构合作博弈及平均树解[J]. 系统科学与数学, 2019, 39(5): 733-742.

YANG Jie, LIU Jiacai. Cooperative Game with a Communication Structure and Interval Payoffs Considering Risk Preferences and Its Average Tree Solution[J]. Journal of Systems Science and Mathematical Sciences, 2019, 39(5): 733-742.

Cooperative Game with a Communication Structure and Interval Payoffs Considering Risk Preferences and Its Average Tree Solution

YANG Jie1, LIU Jiacai2   

  1. 1. College of Management, Fujian Agriculture and Forestry University, Fuzhou 350002; 2. School of Transportation and Civil Engineering, Fujian Agriculture and Forestry University,Fuzhou  350002
  • Online:2019-05-25 Published:2019-08-28

针对具有区间支付的限制结盟合作博弈, 考虑现实局中人的不同偏好信息, 通过引入风险偏 好均值, 提出了具有风险偏好的区间支付交流结构合作博弈及其平均树解. 通过公理化体系对此解的存在性进行了证明,并将此分配方法应用到供应链纵向研发合作企业收益分配的实例中, 表明该方法 的有效性和可行性. 此研究同时考虑了合作结盟的限制约束性和局中人的风险态度差异性, 不仅能有 效刻画现实结盟情境, 且利于分配收益函数的求解.

This paper studies a fuzzy cooperative game with a communication structure and risk preference, in which the preference information about players are different and the payoffs are presented with interval fuzzy numbers. We firstly introduce the risk preference mean, and then a formula of average tree solution for interval fuzzy graph cooperative games is proposed. The existence of the solution is proved by an axiom system. In addition, the effectiveness and feasibility of this method are indicated by an example of profit allocation of cooperative innovation in vertical supply chain. This research considers the restricted alliance and the players' risk preference simultaneously, which not only can describe the reality cooperation, but also is helpful for solve the income distribution function.

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