摘要
在合作对策中引入归一化权重系统,给出加权Solidarity值的递归定义,在收益分配过程中照顾到联盟中的弱势参与者,并运用权重参数度量参与者之间的差异、调整对弱势参与者的保护程度。通过定义解的期望变异加权对称性,从代数角度给出公理化加权Solidarity值的新方法。设计加权Solidarity值的递归实现算法,并通过案例将加权Solidarity值与其他经典解进行比较,分析加权Solidarity值的合理性。
A new recursive definition of the weighted Solidarity value is provided based on the normalization weight system.The weighted Solidarity value not only supports the vulnerable players in payoff allocation problems,but also evaluates the difference of players and adjusts the degree of protection for the vulnerable participants flexibly applying the weight coefficient.Through defining the weighted symmetry for the expected variation,a new axiomatization for the weighted Solidarity value is proposed in the point of the view of algebra.Ultimately,we design the recursive algorithm to implement the weighted Solidarity value.The rationality of the weighted Solidarity is analyzed through comparing with other classical solutions in an actual case.
作者
杨慧
徐根玖
王文娜
YANG Hui;XU Genjiu;WANG Wenna(School of Mathematics and Statistics,Northwestern Polytechnical University,Xi’an 710072,China;School of Sciences,Xi’an University of Science and Technology,Xi’an,710054,China;School of Statistics,Xi’an University of Finance and Economics,Xi’an 710100,China)
出处
《运筹学学报》
北大核心
2020年第4期74-82,共9页
Operations Research Transactions
基金
国家自然科学基金(Nos.71571143,11601417)
陕西省自然科学基金(No.2018JM1047)。
关键词
收益分配
加权Solidarity值
期望变异加权对称性
递归
payoff distribution
the weighted Solidarity value
weighted symmetry for the expected variation
recursion
