• 论文 •

### 带风险偏好的区间支付交流结构合作博弈及平均树解

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

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

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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