The fuzzy core and Shapley function for dynamic fuzzy games on matroids
The fuzzy core and Shapley function for dynamic fuzzy games on matroids
复制标题
拟阵上动态模糊博弈的模糊核和Shapley函数
DOI：
10.1007/s10700-011-9111-8
复制
发表时间：
2011-12-01
影响因子：
4.7
通讯作者：
Zhang, Qiang
中科院分区：
文献类型：
--
作者：
Meng, Fanyong;Zhang, Qiang
本文给出了拟阵上动态模糊对策的模糊核和Shapley函数的一般形式。研究了模糊核的一种等价形式。为了更好地理解拟阵上动态模糊对策的模糊核和Shapley函数，我们重点研究了拟阵上的三类动态模糊对策，分别命名为多线性扩张形式的模糊对策、比例值模糊对策和Choquet积分形式的模糊对策.同时，研究了拟阵上动态模糊对策的模糊核与Shapley函数之间的关系，这与明确情形相吻合。
In this paper, the generalized forms of the fuzzy core and the Shapley function for dynamic fuzzy games on matroids are given. An equivalent form of the fuzzy core is researched. In order to better understand the fuzzy core and the Shapley function for dynamic fuzzy games on matroids, we pay more attention to study three kinds of dynamic fuzzy games on matroids, which are named as fuzzy games with multilinear extension form, with proportional value and with Choquet integral form, respectively. Meantime, the relationship between the fuzzy core and the Shapley function for dynamic fuzzy games on matroids is researched, which coincides with the crisp case.